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Mechanika materiałów niejednorodnych służy przewidywaniu ich właściwości makroskopowych na podstawie badania ich mikrostruktury i mechanizmów deformacji. Nowe metody badawcze dostarczają informacji o zachowaniu się materiałów w skali mikroskopowej i nanometrycznej. Opis złożonego zachowania się materiałów przy różnych obciążeniach wymaga wprowadzenia do modeli konstytutywnych funkcji i parametrów materiałowych, które trzeba określić eksperymentalnie. Jednak nie dla wszystkich wielkości dysponujemy bezpośrednimi danymi doświadczalnymi. Wszechstronne badania materiałów przy różnych obciążeniach są zbyt kosztowne, a w wielu przypadkach niemożliwe do przeprowadzenia. Konieczne staje się, zatem dokonanie wyboru najistotniejszych efektów danego zjawiska, cech badanego materiału i określenie w miarę prostego, ale wszechstronnego modelu konstytutywnego. Podstawowym celem pracy jest opracowanie metody identyfikacji wykorzystującej funkcję strat odporną na błędy pomiarów oraz określeniu metod porównywania i wyboru najlepszego modelu z kilku nieliniowych modeli konstytutywnych. Wykorzystanie miary odległości informacyjnej Kullbacka-Leiblera między modelami lub między odpowiedzią modelu a danymi doświadczalnymi, pozwala określić, który z modeli lepiej dopasowuje się do danych rzeczywistych. Opracowaną metodę użyto w analizie zaawansowanych deformacji plastycznych osiowosymmetrycznego rozciągania próbek cylindrycznych i jest treścią rozdziału 9. W pierwszej części rozprawy, w rozdziałach 2-7 przedstawiono różne sposoby opisu złożonego zachowania się metali przy ąuasi-statycznych i dynamicznych obciążeniach. Przedstawiono zagadnienie modelowania rozwoju mikrouszkodzeń i mikropustek podczas deformacji ciała stałego. Przedyskutowano sposoby doboru modelu konstytutywnego i wpływ metody identyfikacji na postać użytych funkcji materiałowych. Zbadano zjawisko zaawansowanych odkształceń plastycznych i wpływ rozwoju mikrouszkodzeń na zachowanie materiału jako agregatu (osnowa i cząstki drugiej fazy). Przedstawiono opis płynięcia plastycznego materiału z mikrouszkodzeniami. Zachowanie materiału w procesach ąuasistatycznych opisano z wykorzystaniem modelu plastyczności, w którym uwzględniono izotropowe wzmocnienie plastyczne, a osłabienie opisano przez ewolucję mikrouszkodzeń. Przeprowadzono systematyczną analizę numeryczną ąuasistatycznego rozciągania próbek stalowych. Zbadano problem lokalizacji odkształceń plastycznych w ramach teorii lepkoplastyczności. Zastosowano opis płynięcia plastycznego z pasmami ścinania w numerycznej analizie procesu kucia matrycowego. Modyfikację klasycznej metody najmniejszych kwadratów do oszacowania parametrów materiałowych w celu uniezależnienia się od błędów pomiarowych przedstawiono w rozdziale 8. Użyto różnych odpornych funkcji celu do porównania ich wpływu na oszacowanie stałych materiałowych dla różnych modeli materiału z mikropustkami. Następnie przedstawiono zmodyfikowaną metodę optymalizacji globalnej i opisano algorytmy obliczeniowe użyte do identyfikacji funkcji materiałowych. Zagadnienia opisane w pracy dotyczą dwóch dziedzin: mechaniki materiałów ciągliwych z ewolucją mikrouszkodzeń oraz metod identyfikacji funkcji materiałowych w modelach nieliniowych, z koniecznością porównywania i wyboru najlepszego modelu. Wspólne ujęcie obu dziedzin w niniejszej rozprawie pozwoliło na opracowanie narzędzi do prawidłowego modelowania konstytutywnego i poszerzyło zakres analizowanych opisów materiałów z mikropustkami. Wspólną cechą wszystkich analizowanych przypadków jest problem identyfikacji stałych materiałowych w oparciu o dane doświadczalne. W pracy zbadano naturę powstawania mikrouszkodzeń i wykazano, że ewolucja mikrouszkodzeń oraz interakcje między pustkami mają decydujący wpływ na przebieg deformacji oraz na lokalizację odkształceń plastycznych i sposób zniszczenia. Wykorzystano przy tym modele obliczeniowe: jednowymiarowe, dwuwymiarowe (osiowosymetryczne) i trójwymiarowe. Stwierdzono, że ewolucja mikropustek jest przyczyną niejednorodnego stanu odkształcenia i naprężenia, która bez jakichkolwiek imperfekcji geometrycznych i termicznych prowadzi do lokalizacji odkształceń plastycznych i przyczynia się w końcowej fazie do całkowitego zniszczenia. Zbadano wpływ parametrów konstytutywnych, lokalnych zmian własności mechanicznych materiału osnowy na przebieg deformacji, rozkład stanu odkształcenia i naprężenia oraz rozwój strefy lokalizacji odkształceń plastycznych w postaci 'szyjki'. Przedstawiono podstawowe cechy zjawiska powstawania i wzrostu mikrouszkodzeń, przyczyny ich kierunkowego rozwoju i przeprowadzono analizę wzajemnego oddziaływania mikrouszkodzeń. Wykazano decydującą rolę struktury materiału osnowy i wynikającego z niej losowego charakteru zjawiska zniszczenia. Otrzymane wyniki w pełni potwierdzają konieczność użycia odpornych funkcji celu do identyfikacji stałych materiałowych w oparciu o doświadczenie oraz potrzebę stosowania testów statystycznych do wyboru najlepszego modelu.
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Tom
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- Instytut Podstawowych Problemów Techniki PAN
Bibliografia
- [1] ABAQUS/Standard -Ver. 6.2, Reference Manuals, Hibbit, Karlsson and Sorensen Inc., Providence, 2001.
- [2] Akaike H., A new look at the statistical model identification, IEEE Transactions on Automatic Control, 19 (6), 716-723, 1974.
- [3] Anand L., Kalidindi S.R., The process of shear band formation in piane strain compression of fcc met ais: Effects of crystallographic texture, Mechanics of Materials, 17, 223-243, 1994.
- [4] Andersson H., Analysis of a model for void growth and coalescence ahead of a moving crack tip, J. Mech. Phys. Solids, 25, 217-233, 1977.
- [5] Argon A.S., Im J., Separation of second-phase particles in spheroidized 1045 steel, Cu-0.6 pet Cr alloy and maraging steel in plastic straining, Metali Trans., 6A, pp. 839-851, 1975.
- [6] Argon A.S., Im J. and Needleman A., Distribution of plastic strain and negative pressure in necked steel and copper bars, Metali. Trans., 6A, 815-824, 1975.
- [7] Argon A.S., Im J. and Safoglu R., Cavity formation from inclusions in ductile fracture, Metali Trans., 6A, 825-838, 1975.
- [8] Argon A.S., Formation of cavities from nondeformable second-phase particles in Iow temperaturę ductile fracture, J. Eng. Mat. Tech., Trans. ASME, 98, 60-68, 1976.
- [9] Ashby M.F., Work hardening of dispersion-hardened crystals, Phil. Mag., 14, pp.1157-1178, 1966.
- [10J Ashby M.F., The deformation of plastically non-homogeneous alloys, Phil Mag., 21, pp.399-424, 1970.
- [11] Ashby M.F., Ghandi C. and Taplin D.R.M., Fracture-mechanism maps and their construction for f.c.c. metals and alloys, Acta Metali, 27, pp. 699-729, 1979.
- [12] Barnby J.T., The initiation of ductile failure by fractured carbides in an anstenitic stainless steel, Acta Met., 15, p.903, 1967.
- [13] Batra R.C., Kim C.H., Effect of viscoplastic flow rules on the initiation and growth of shear bands at high strain rates, J. Mech. Phys. Solids, 38, 859-874, 1990.
- [14] Batra R.C., Zhang X., On the propagation of a shear band in steel tubę, ASME Journal of Engineering Materials and Technology, 116, 155-161, 1994.
- [15] Batra R.C., Numerical solutions of initial boundary value problems with shear strain localization, w: Localization and fracture phenomena in in-elastic solids, CISM Courses and Lectures No. 386, red. P. Perzyna, Wien, Spinger, 301-389, 1998.
- [16] Bauer R.W. and Wisdorf H.G.F., Void initiation in ductile fracture, Scripta Metali, 7, 1213-1220, 1973.
- [17] Bąk J., Mała encyklopedia metrologii, Warszawa, WNT, 1989.
- [18] Becker R., Needleman A., Richmond O., Tvergaard V., Void growth and failure in notched bars, J. Mech. Phys. Solids, 36(3), pp.317-351, 1988.
- [19] Becker R., Ring fragmentation predictions using the Gurson model with materiał stability conditions as failure criteria, Int. J. Solids and Struc-tures, 39, pp. 3555-3580, 2002.
- [20] Berg C.A., Plastic dilatation and void interaction, Proc. Batelle Memo. Ins. Sympo. on Inelastic Processes in Solids, pp. 171-209, 1969.
- [21] Bishop J.F. and Hill R., The theory of the plastic distortion of a poycry-stalline aggregate under combined stresses, Phil. Mag., 42, pp. 414-427, 1951.
- [22] Bluhm J.I. and Morrissey R.J., Fracture in a tensile specimen, Proc. First Int. Conference on Fracture, Sendai, Japan, September 1965, eds. T. Yokobori, T. Kawasaki and J.L. Swedlow, Vol. 3, pp. 1739-1780, 1966.
- [23] Bochniak W., Korbel A., KOBO type forming: forging of metals under complex conditions of the process, J. Matl. Process. Technol., 134,120-134, 2003.
- [24] Boender C.G., Rinnoy Kan A.H.G., Strougie L., Timmer G.T., A stochastic method for global optimization, Mathematical Programming, 22, 125-140, 1982.
- [25] Brandt S., Data Analisys. Statistical and Computational Method for Scientists an Engineers, 3rd ed., Springer-Verlag, New York, 1998.
- [26] Bridgman P.W., the stress distribution at the neck of a tension specimen, Trans. Am. Soc. Metals, 32, 553-574, 1943.
- [27] Bridgman P.W., Effects of high hydrostatic presure on the plastic properties of metals, Rev. Mod. Phys., 17, 3-14,1945.
- [28] Bridgman P.W., Studies in large plastic flow and fracture, McGraw-Hill, 1952.
- [29] Bridgman P.W., Studies in large plastic flow and fracture with special emphasis on the effects of hydrostatic pressure, Harvard Univ. Press, Cambridge, 1964.
- [30] Broek D., Some contributions of electron fractography to the theory of fracture, Int. Metallurg. Rev., 19, 135-182, 1974.
- [31] Bronkhorst A.A., Kalidindi S.T., Anand L., Polycrystalline plasticity and the evolution of crystallographic texture in FCC metals, Phil. Trans. R. Soc. London, A341, 443-477, 1992.
- [32] Brown L. M., and Stobbs W.M., The work hardening of copper-silica. II. The role of plastic relaxation, Philos. Mag., 23, p.1201, 1971.
- [33] Brown L. M., Embury J.D., The initiation and growth of voids at secondphase particles, In: Proc. of the Third Conference on Strength of Metals and Alloys, London: Institute of Metals, pp. 164-169, 1973.
- [34] Broyden C.G., The convergence of a class of double rank minimalization algorothms. Part I and II., J. Inst. Maths. Appl., 6, pp. 222-231, 1970.
- [35] Brünig M., Numerical analysis and modeling of large deformation and necking behavior of tensile specimens, Finite Elements in Analysis and Design, 28, 303-319, 1998.
- [36] Budłansky B., Hutchinson J.W., Słutsky S., Void growth and coUapse in viscous solids, In: Hopkins, H.G., Sewell, M.J. (Eds.), Mechanics of Solids, The Rodney Hill 60th Anniversary Volume. Pergamon Press, pp. 13-45, 1982.
- [37] Carroll M.M. and Holt A.C., Static and dynamie pore-collapse relations for ductile solids, J. Appl. Phys., 43, pp. 1626-1636, 1972.
- [38] Chan, K.S., Bodner, S.R., Lindholm, U.S., Phenomenological modelling of hardening and thermal recovery in metals, J. Eng. Mat. Tech., 110, p.18, 1988.
- [39] Chang Y.W. and Asaro R.J., An experimental study of shear locali-zation in aluminum-copper single crystals, Acta Metali, 29, 241-257, 1981.
- [40] Chapelle O., Vapnik V., Bengio Y., Model selection for smali sample regression, Machinę Learning, 48 (1-3), 9-23, 2002.
- [41] Chen W.H., Necking of a bar, Int. J. Solids StrucŁ, 7, 685-717, 1971.
- [42] Cho K., Chi Y.C. and Duffy J., Microscopic observations of adiabatic shear bands in three different steels, Brown University Report, 1988.
- [43] Chu CC. and Needleman A., Void nucleation effects in biaxially stret-ched sheets, Trans. ASME, J. Eng. Mat. Tech., 102, pp. 249-256, 1980.
- [44] Cialone H. and Asaro R. J., The role of hydrogen in the ductile fracture of plain carbon steels, Metali. Trans., 10A, pp. 367-375, 1979.
- [45] Ciarkę K.A., Testing nonnested models of international relations: reeva-luating realism, American Journal of Political Science, 45, 1-62, 2001.
- [46] Clifton R.J., Duffy J., Hartley K.A., Shawki T.G., On critical conditions for shear band formation at high strain rates, Scripta Metalurgica, 18, 443-448, 1984.
- [47] Clifton R.J., Response of materials under dynamie loading, Int. J. Solids and Structures, 37, 105-113, 2000.
- [48] Costin L.S., Crisman E.E., Hawley R.H. and Duffy J., On the localiza-tion of plastic flow in mild steel tubes under dynamie torsional loading, In: Mechanical Properties at High Rates of Strain, (ed. Harding J.), pp. 90-100, Inst. Phys. Conf. Ser. No. 47, 1979.
- [49] Crussard C, Plateau J., Tamhanker R., Henry G., Lajeunesse D., In: Fracture, Int. Conf. Atomie Mechanisms Fracture, Mass., John Wiley, New York, p.524, 1959.
- [50] Curran D.R., Searnan L. and Shockey D.A., Dynamie failure of solids, Physics Today, January 1977, 46-55, 1977.
- [51] Curran D.R., Seaman L. and Shockey D.A., Dynamie failure of solids, Physics Reports, 147, 253-388, 1987.
- [52] Davidon W.C., Variance algorithms for minimization, Computer «/., 10, pp.406-410, 1968.
- [53] Dornowski W., Numeryczna symulacja procesów plastycznego płynięcia przy dynamicznych obciążeniach cyklicznych. Warszawa, WAT wewn. 2598/99, 1999.
- [54] Dornowski W., Influence of finite deformations on the growth mecha-nism of microvoids contained in structural metals, Archives of Mechanics, 51 (1), 71-86, 1999.
- [55] Dornowski W. and Perzyna P., Localization phenomena in thermo-viscoplastic flow processes under cyclic dynamie loadings, Computer Assisted Mechanics and Engineering Sciences, 7, 117-160, 2000.
- [56] Dornowski W., Perzyna P., Analysis of various efFects in dynamie cyclic fatigue damage, Archwe of Applied Mechanics, 72 (6-7), pp.418-438, 2002.
- [57] Dornowski W., Perzyna P., Localized fracture phenomena in thermo-visco-plastic flow processes under cyclic loading, Acta Mechanica, 155, 233-255, 2002.
- [58] Dornowski W. and Perzyna P., Analysis of the influence of various ef-fects on cycle fatigue damage in dynamie processes, Arch. Applied Mechanics, 72, 418-438, 2002.
- [59] Duffy J., Campbell J.D., Hawley R.H., On the use of a torsional split Hopkinson bar to study ratę effects in 1100-0 Aluminium, ASME Journal of Applied Mechanics, 38, 83-91, 1971.
- [60] Duszek-Perzyna M.K. and Perzyna P., Analysis of the influence of dif-ferent effects on criteria for adiabatic shear band localization in inela-stic solids, Materiał Instabilities: Theory and Applications, AMD-Vol. 183/MD-Vol.50, ASME, pp.59-85, 1994.
- [61] Eadie W.T., Drijard D., James F.E., Ross M. and Sadoulet B., Metody statystyczne w fizyce doświadczalnej, Warszawa, PWN, 1989.
- [62] Edmonds D.V. and Beevers C.J., The effect of inclusions on the stress distribution in solids, J. Materials Sci., 3, 457-463, 1968.
- [63] Eftis J., Constitutive modelling of spali fracture, in: High-Pressure Shock Compression of Solids, II. Dynamie Fracture and Fragmentation, (Eds. L. Davison, D.E. Grady and M. Shahinpoor), Springer-Verlag, New York, 399-451, 1996.
- [64] Eisenberg M.A., Yen C.F., An anisotropic generalization of the Bridg-man analysis of tensile necking, Trans. ASME, J. Eng. Mater. Tech., 105, 264-267, 1983.
- [65] Eisenberg M.A., Anisotropic tensile necking, Int. J. of Plasticity, 1, 29-38, 1985.
- [66] Eshelby J.D., The determination of the elastic field of an ellipsoida! inclusion, and related problems, Proc. Roy. Soc. London, A241, pp.376-396, 1957.
- [67] Findeisen W., Szymanowski J., Wierzbicki A., Theoria i metody obliczeniowe optymalizacji, PWN, Warszawa, Wyd.2, 1980.
- [68] Fisher J. R., Void nucleation in spheroidized steels during tensile defor-mation, Ph.D. Thesis, Brown University, 1980.
- [69] Fisher J. R. and Gurland J., Void nucleation in spheroidized carbon steels, Part 1: Experimental, Metal Science, 15, No5, pp. 185-192, 1981.
- [70] Fisher J. R. and Gurland J., Void nucleation in spheroidized carbon steels, Part 2: Model, Metal Science, 15, No5, pp. 193-202, 1981.
- [71] Fletcher R. and Powell M.J.D., A rapidly convergent descent method for minimization, Computer J., 6, pp.163-168, 1963.
- [72] Fletcher R., A new approach to variable metric algorithms, Computer J., 13, pp.317-322, 1970.
- [73] Fletcher R., Practical Methods of Optimization, second edition. John Wiley & Sons, Chichester, 1987.
- [74] Gangulee A., Gurland J., On the fracture of silicon particles in aluminum-silicon alloys, Trans, of Metali. Soc. of the A.I.M.E., 239, pp.269-272, 1967.
- [75] Ghosh S., Lee K. and Raghavan P., A multi-level computational mode for multi-scale damage analysis in composite and porous mateirals, Int. J. Solids and Structures, 38 (14), pp. 2335-2385, 2001.
- [76] Gardner R.N, Pollock T.C. and Wilsdorf H.G.F., Crack initiation at dislocation celi boundaries in the ductile fracture of metals, Materials Science and Engineering, 29, pp.169-174, 1977.
- [77] Giovanola J.H., Adiabatic shear banding under pure shear loading, Part I: Direct observation of strain localization and energy dissipation rneasurements, Mechanics of Materials, 7, 59-71, 1988.
- [78] Giovanola J.H., Adiabatic shear banding under pure shear loading, Part II: Fractographic and rnetallographic observations, Mechanics and Materials, 7, 73-87, 1988.
- [79] Glema A., Kąkol W., Łodygowski T., Numerica! modelling of adiabatic shear band formation in a twisting test, Engineering Transactions, 45(3-4), 419-43, 1997.
- [80] Golden R.M., Making correct statistical inferences using a wrong pro-bability model, The Journal of Mathematical Psychology, 38, pp. 3-20, 1995.
- [81] Goldfarb D., A family of variable metric methods derived by variational means, Maths. Comp., 24, pp.23-26, 1970.
- [82] Goods S.H. and Brown L.M., The nucleation of cavities by plastic de-formation, Acta Metali, 27, pp. 1-15, 1979.
- [83] Granger C.W.J., King M.L., White H., Comments on testing economic theories and the use of model selection criteria, Journal of Econome-trics, 67, 173-187, 1995.
- [84] Gurland J. and Plateau J., The mechanism of ductile rupture of metals containing inclusions, Transactions ofthe A.S.M., 56, pp.443-454, 1963.
- [85] Gurland J., Observations on the fracture of cementite particles in sphe-roidized 1.05%C steel deformed at room temperaturę, Acta Metali, 20, 735-741, 1972.
- [86] Gurson A.L., Plastic flow and fracture behaviour of ductile materials incorporating void nucleation, growth and interaction, Ph.D Thesis, Brown University, 1975.
- [87] Gurson A.L., Continuum theory of ductile rupture by void nucleation and growth. Part 1. Yield criteria and flow rules for porous ductile media, J. Engng. Materials and Technology, Trans, of the ASME, 99, 2-15, 1977.
- [88] Hampel F.R., Ronchetti E.M., Rousseeuw P.J. and Stahel W.A., Robust statistics, Wiley, New York, 1986.
- [89] Hancock J.W., Mackenzie A.C., On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress states, J. Mech. Phys. Solids, 24, 147-169, 1976.
- [90] Harth T., Schwan S., Lehn J., Kollrnann F.G., Identification of materiał parameters for inelastic constitutive models: statistical analysis and design of experiments, Int. Journal of Plasticity, 20, pp. 1403-1440, 2004.
- [91] Hartley K.A., Duffy J. and Hawley R.H., Measurement of the temperaturę profile during shear band formulation in steels deforming at high strain rates, J. Mech. Phys. Solids, 35, 283-301, 1987.
- [92] Hill R., The mathematical theory of plasticity, Oxford University Press, London p.272, 1950.
- [93] Hill R., A generał theory of uniąueness and stability in elastic-plastic solids, J. Mech. Phys. Solids, 6, 236-249, 1958.
- [94] Holnicki P., Nahorski Z. and Zochowski A., Modelowanie procesów środowiska naturalnego, Wyższa Szkoła Informatyki Stosowanej i Zarządzania, Warszawa, 2000.
- [95] Hooke R. and Jeeves T.A., Direct search solution of numerical and statistical problems, J. Assoc. Comp. Mach., 8, pp. 212-229, 1961.
- [96] Huang W.C., Theoretical study of stress concentrations at circular ho-les and inclusions in strain hardening materials (Stress concentrations at circular holes and inclusions in elasto-plastic strain hardening plate under tension and shear), /. J. Solids and Structure, 8, p.149, 1972.
- [97] Huang Y., Accurate dilatation rates for spherical voids in triaxial fields, J. Appl. Mech, 58, pp. 1084-1086, 1991.
- [98] Huber P.J., Robust methods of estimation of regression coefficients, Math. Operationsforsch. Stat., Ser., Stat., 8, 141-153, 1977.
- [99] Huber P.J., Robust statistics, Wiley, New York, 1981.
- [100] Hutchinson J.W., Plasticity at the micron scalę, Int. J. Solids and Struc-tures, 37, 225-238, 2000.
- [101] Johnson J.N., Dynamie fracture and spallation in ductile solids. J. Appl. Phys., 52, 2812-2825, 1981.
- [102] Kachanov L.M., On creep rupture time, Izwiestnaja Akademia Nauk SSSR, Otdeleniya Tekhnicheskich I Nauk, 8, pp. 26-31, 1958
- [103] Kachanov L.M., Time of the fracture process under creep conditions, Izv. Akademie Nauk SSSR, 8, 26, (1958) [in Russian], Theory of creep (1960)(English Translation National Lending Library for Science and Technology), 1967.
- [104] Kalidindi S.R., Bronkhorst CA., Anand L., Crystallographic texture evolution in bulk deformation processing of FCC metals, J. Mech. Phys. Solids, 40, 537-569, 1992.
- [105] Kikuchi M., Shiozawa K., Weertman J.R., Void nucleation in astroloy: theory and experiments, Acta Metali, 29, pp.1747-1758, 1981.
- [106] Kleiber M., Komputerowe Metody Mechaniki Ciała Stałego, Mechanika Techniczna, t. XI, Kleiber M. (ed.), WN PWN, Warszawa, 1995.
- [107] Koplik J. and Needleman A., Void growth and coalescence in porous plastic solids, Int. J. Solids Structure, 24, 835-853, 1988.
- [108] Korbel A., Bochniak W., The structural based design of metal forming operations, J. Matl. Process. Technol., 53, 229-236, 1995.
- [109] Kotulski Z., Szczepiński W., Rachunek błędów dla inżynierów, WNT, Warszawa, 2004.
- [110] Kowalczyk-Gajewska K. , Gambin W., Pęcherski R.B., Ostrowska-Maciejewska J., Modelling of crystallographic texture development in metals accounting for micro-shear bands, Arch. of Metallurgy and Materials, 50, 575-593, 2005.
- [111] Kowalski B., Sellars C.M., Pietrzyk M., Identification of rheological pa-rameters on the basis of piane strain compression tests on specimens of various initial dimensions, Computational Materials Science, 35 (2), 92-97, 2006.
- [112] Kuester J.L., Mize J.E., Optimization techniąues with Fortran, McGraw-Hill, Chapter 9, 1973.
- [113] Kusiak J., Kawalla R., Pietrzyk M., Pircher H., Inverse analysis ap-plied to the evaluation of materiał parameters in the history dependent flow stress eąuation in hot forming of metals, J. Materials Processing Technology, 60, 455-461, 1996.
- [114] Kwon D. and Asaro R.J., A study of void nucleation, groth, and co-alescence in spheroidized 1518 steel, Metali Trans., 21A, pp.117-134, 1990.
- [115] Lee E.H., Elastic-plastic deformations at finite strains, Journal of Applied Mechanics, 35, 1-6, 1969.
- [116] Lehmann, E.L., Teoria estymacji punktowej, Warszawa, PWN, 1991.
- [117] LeRoy G., Embury J.D., Edward G. and Ashby M.F., A model of ductile fracture based on the nucleation and growth of voids, Acta Metali, 29, 1509-1522,1981.
- [118] Lindley T.C., Oates G., Richards C.E., A critical appraisal of carbide cracking mechanisms in ferrite/carbide aggregates, Acta Metali, 18, pp.1127-1136, 1970.
- [119] Litoński J., Plastic flow of a tubę under adiabatic torsion, Buli de V Acad.. Polonaise des Sciences, 25, 7-17, 1977.
- [120] Loret B., Prevost J.H., Dynamie strain localization in elasto-visco-plastic solids, Part I: General formulation and one-dimensional exam-ples, Computer Methods in Applied Mechanics and Engineering, 83, 247-273, 1990.
- [121] Łodygowski T. and Perzyna R, Localized fracture in inelastic polycry-stalline solids under dynamie loading processes, Int. J. Damage Mechanics, 6, 364-407, 1996.
- [122] Łodygowski T. and Perzyna R, Numerical modelling of localized fracture of inelastic solids in dynamie loading processes, Int. J. Num. Meth. Engng., 40, 4137-4158, 1997.
- [123] Łodygowski T., Theoretical and numerical aspects ofplastic strain localization, Poznań, Wydawnictwo Politechniki Poznańskiej, 1996.
- [124] Łodygowski T., Lengnick M., Perzyna R, Stein E., Viscoplastic numerical analysis of dynamie plastic strain localization for a ductile materiał, Archives of Mechanics, 46, 1-25, 1994.
- [125] Łodygowski T., On avoiding of spurious mesh sensitivity in numerical analysis of plastic strain localization, Computer Assisted Mechanics and Engineering Sciences, 2, 231-248, 1995.
- [126] Łodygowski T., Perzyna R, Localized fracture in inelastic polycrystal-line solids under dynamie loading processes, I. J. Damage Mechanics, 6, 364-407, 1997.
- [127] Łodygowski T., Perzyna R, Numerical modelling of localized fracture of inelastic solids in dynamie loading processes, I. J. Numerical Methods in Engineering, 40, 4137-4158, 1997.
- [128] Mahnken R., Stein E., Parameter identification for viscoplastic models based on analytical derivatives of a least-sąuares functional and stability investigations, Int. J. Plasticity, 12(4), pp.451-479, 1996.
- [129] Malek-Madani R., Raouf R.A., Stability analysis of thermo-visco-plastic materials undergoing high-rate shear deformations, Quarterly of Applied Mathematics, 17, 213-227, 1999.
- [130] Marchand A. and Duffy J., An experimental study of the formation ' process of adiabatic shear bands in a structural steel, J. Mech. Phys. Solids, 36, 251-283, 1988.
- [131] Marchand A., Cho K. and Duffy J., The formation of adiabatic shear bands in an AISI 1018 cold-rolled steel, Brown University Report, 1988.
- [132] Mason J.J., Rosakis A.J. and Ravichandran R., On the strain and strain ratę dependence of the fraction of piastic work converted to heat: an experimental study using high speed infrared detectors and the Kolsky bar, Mechanics of Materials, 17, 135-145, 1994.
- [133] McAleer M., The significance of testing empirical non-nested models, Journal of Econometrics, 67, 149-171, 1995.
- [134] McClintock F.A., A criterion for ductile fracture by the growth of holes, Trans. ASME, Journal of Applied Mechanics, 35, 363-371, 1968.
- [135] McClintock F.A., Plasticity aspects of fracture, in: Fracture: An ad-vanced treatise, ed. Liebowitz H., Academic Press, New York, tom 3, pp.47-225, 1971.
- [136] Meyers M.A. and Aimone C.T., Dynamie fracture (spalling) of metals, Próg. Mater. Set., 28, 1-96, 1983.
- [137] Mugglestone M.A., Barnett V., Nirel R. and Murray D.A., Modelling and analysing outliers in spatial lattice data, Math. and computer Modelling, 32, pp.1-10, 2000.
- [138] Needleman A., Void growth in an elastic-plastic medium, Trans. ASME, J. Appl. Mech., 94, pp. 964-970, 1972.
- [139] Needleman A., A numerical study of necking in circular cylindrical bars, J. Mech. Phys. Solids, 20, 111-127, 1972.
- [140] Needleman A., Materiał ratę dependence and mesh sensitivity in loca-lization problems, Computer Methods in Applied Mechanics and Engi-neering, 67, 69-85, 1988.
- [141] Needleman A., Dynamie shear band development in piane strain, Trans. ASME, Journal of Applied Mechanics, 56, 1-9, 1989.
- [142] Needleman A., Computational mechanics at the mesoscale, Acta Mate-rialia, 48, 105-124, 2000.
- [143] Needleman A., Ortiz M., Effects of boundaries and interfaces on shear band localization, /. J. Solids and Structures, 28, 859-877, 1991.
- [144] Needleman A., Rice J.R., Limits to duetility set by plastic flow localiza-tion, In: Mechanics of Sheet Metal Forming, eds. D.P. Koistinen, N.M. Wang, Plenum Publishing Co., New York, pp. 237-265, 1978.
- [145] Needleman A. and Tvergaard V., An analysis of ductile rupture in not-ched bars, J. Mech. Phys. Solids, 32, pp. 461-490, 1984.
- [146] Nelles O., Nonlinear system identification. Prom classical approaches to neural networks and fuzzy models, Springer-Verlag Berlin Heidelberg, 2001.
- [147] Nemat-Nasser S. and M. Taya, Model studies of ductile fracture, Fracture 1977, Proc. 4th Inter. Conference on Fracture, ed. Taplin D.M.R., Vol.l, pp. 387-405, 1977.
- [148] Nemes J.A. and Eftis J., Constitutive modelling on the dynamie fracture of smooth tensile bars, Int. J. Plasticity, 9, 243-270, 1993.
- [149] Nemes J.A., Eftis J., Randles P.W., Viscoplastic constitutive modelling of high strain-rate deformation, materiał damage and spali fracture, ASME Journal of Applied Mechanics, 57, 282-291, 1990.
- [150] Nilsson K., Effects of elastic unloading on multiple necking in tensile bars, Int. Journal of Impact Engineering, 30, 1353-1367, 2004.
- [151] Nilsson K., Effects of inertia on dynamie neck formation in tensile bars, Eur. J. Mech. A Solids, 20, 713-729, 2001.
- [152] Norris D.M., Jr., Moran B., Scudder J.K., Quinones D.F., A cornputer simulation of the tension test, J. Mech. Phys. Solids, 26, 1-19, 1978.
- [153] Nowacki W.K., Fale naprężenia w ciałach plastycznych, Poznań, Wydawnictwo Politechniki Poznańskiej, 1974.
- [154] Nowacki W.K., Zagadnienia falowe w teorii plastycznooci, Warszawa, PWN, 1974.
- [155] Nowak Z., Perzyna P., Pęcherski R.B., Identification of viscoplasticity model accounting for micro-shear bands, w przygotowaniu do publikacji, 2006.
- [156] Nowak Z., Pęcherski R.B., Plastic strain in metals by shear banding. II. Numerical identification and verification of plastic flow law, Arch. Mech., 54, 621-634, 2002.
- [157] Nowak Z., Stachurski A., Nonlinear regression problem of materiał func-tions identification for porous media plastic flow, Engng. Trans., 49, 637-661, 2001.
- [158] Nowak Z., Stachurski A., Global optimization in materiał functions identification for voided media plastic flow, Comp. Assisted Mech. Engn. Sci., 9, 205-221, 2002.
- [159] Nowak Z., Stachurski A., Modelling and identification of voids nuc-leation and growth effects in porous media plastic flow, Control and Cybernetics, 32, 819-849, 2003.
- [160] Nowak Z., Stachurski A., Robust identification of an augmented Gurson model for elasto-plastic porous media, Archive of Mechanics, 58 (2), 125-154, 2006.
- [161] Ohno N., Hutchinson J.W., Plastic flow localization due to non-uniform void distribution, J. Mech. Phys. Solids, 32 (1), pp. 63-85, 1984.
- [162] Ohser J and Miicklich F., Statistical analysis of microstructures in materiał science, John Wiley and Sons, Chichester, England, 2000.
- [163] Olejnik L., Plastic dilatation in void containing mild steel and its influence on materiał behaviour, Arch. Hut., 31, 185, 1986.
- [164] Palmer A. and Mellor P.B., Growth of voids in biaxial stress fields, Int. J. Mech. Sci., 22, pp. 133-150, 1980.
- [165] Pardoen T. and Delannay F., Assessment of void growth models from porosity measurements in cold-drawn copper bars, Metallurgical and Materials Transactions, 29A, 1895-1909, 1998.
- [166] Pardoen T., Dumont D., Deschamps A., Brechet Y., Grain boundary versus transgranular ductile failure, J. Mech. Physics of Solids, 51, pp. 637-665, 2003.
- [167] Perra M, Finnie I., Void growth and local;ization of shear in piane strain tension, Fracture 1977, Proc. 4th Inter. Conference on Fracture, ed. Taplin D.M.R., Vol.2, p.415, 1977.
- [168] Peracchi F., Econometrics, J. Wiley LTD, 2001.
- [169] Perzyna P., Thermodynamic theory of viscoplasticity, Advances in Applied Mechanics, 11, 313-354, 1971.
- [170] Perzyna P., Termodynamika materiałów niesprężystych, PWN 1978.
- [171] Perzyna P., Stability of flow processes for dissipative solids with internal imperfections, ZAMP, 35, pp. 848-867, 1984.
- [172] Perzyna P., Constitutive modelling of dissipative solids for postcritical behaviour and fracture, ASME J. Eng. Materials and Technology, 106, 410-419, 1984.
- [173] Perzyna P., Internal state variable description of dynamie fracture of ductile solids, Int. J. Solids Structures, 22, pp. 797-818, 1986.
- [174] Perzyna P., Constitutive modelling for brittle dynamie fracture in dis-sipative solids, Arch. Mechanics, 38, pp. 725-738, 1986.
- [175] Perzyna P., Influence of anisotropic effects on micro-damage process in dissipative solids, In: Proc. IUTAM/ICM Symposium on Yielding, Damage and Failure of Anisotropic Solids, Villerd-de-Lance, Mech. Eng. Publ. Ltd., London, pp. 483-507, 1990.
- [176] Perzyna P., Instability phenomena and adiabatic shear band loealization in thermoplastic flow processes, Acta Mechanica, 106, 173-205, 1994.
- [177] Perzyna P., Adiabatic shear band loealization fracture of solids in dynamie loading processes, w: International Conference on Mechanical and Physical Behaviour of Materials under Dynamie Loading, red. Harding J., Oxford, September 26-30, 441-446, 1994.
- [178] Perzyna P., Interaetions of elastic-viscoplastic waves and loealization phenomena in solids, In: Nonlinear Waves in Solids, Proc. IUTAM Sympo. Nonlinear Waves in Solids, August 15-20 1993, Victoria, Ca-nada, (eds. Wegner L.J. and Norwood F.R.), ASME Book No AMR 137, pp. 114-121, 1995.
- [179] Perzyna P., Dynamie loealized fracture in inelastie solids, w: Damage mechanics in engineering materials, red. G.Z.Voyadjis, Elsevier Science, Amsterdam, 1998.
- [180] Perzyna P. and Drabik A., Description of micro-damage process by porosi ty parameter for nonłinear viscoplasticity, Arch. Mechanics, 41, 895-908, 1989.
- [181] Perzyna P. and Drabik A., Micro-damage mechanism in adiabatic pro-cesses, Engineering Transactions, (in print), 2006.
- [182] Perzyna P. and Nowak Z., Równanie ewolucji pustek w obszarze szyjki, Prace IPPT, 24/1985.
- [183] Perzyna P., Nowak Z., Evolution eąuation for the void fraction parameter in necking region, Arch. Mech., 39, No. 1-2, 73-84, 1987.
- [184] Perzyna P. and Z. Nowak, Determination of materiał functions in a model of dynamie fragmentation processes, ZAMM, 71, 4, pp.378-382, 1991.
- [185] Perzyna P., Wierzbicki T., Temperaturę dependent and strain ratę sen-sitive plastic materials, Archive of Mechanics, 1, 136-143, 1964.
- [186] Perzyna P., Wojno W., Unified constitutive eąuations for elastic-viscoplastic materiał, Buli. Acad. Polonaise Scien., Ser. Scien. Tech., 24, 85-94, 1976.
- [187] Petryk H., Materiał instability and incrementally nonłinear plasticity, w: Materiał instabilities in elastic and plastic solids, red. H. Petryk, CISM Courses and Lectures No. 414, Wien, Spinger, 2000.
- [188] Pęcherski R.B., A model of plastic flow within an account of micro-shear banding, ZAMM, 72, T246-T250, 1992.
- [189] Pęcherski R.B., Modelling of large plastic deformations based on the mechanism of micro-shear banding. Physical foundations and theoreti-cal description in piane strain, Arch. Mech., 44, 563-584, 1992.
- [190] Pęcherski R.B., Finite deformation plasticity with strain induced ani-sotropy and shear banding, J. Mat. Processing Technology, 60, 35-44, 1996.
- [191] Pęcherski R.B., Macroscopic measure of the ratę of deformation produ-ced by micro-shear banding, Arch. Mech., 49, 385-401, 1997.
- [192] Pęcherski R.B., Continuum mechanics description of plastic flow pro-duced by micro-shear bands, Technische Mechanik, 18, 107-115, 1998.
- [193] Pęcherski R.B., Opis deformacji plastycznej metali z efektami mikro-pasm ocinania, Prace IPPT, 2/1998 - praca habilitacyjna, 1998.
- [194] Pęcherski R.B., Korbel K., Plastic strain in metals by shear banding. I. Constitutive description for simulation of metal shaping operations, Arch. Mech., 54, 5-6, 603-620, 2002.
- [195] Pęcherski R.B., Nalepka K., Nowak Z., Próba modelowania mechanicznych własności nanometali, Inżynieria Materiałowa, Nr 4, 170-174, 2005.
- [196] Pęcherski R.B., Nowak Z., Numerical analysis of metal forming operations accounting for micro-shear banding, Proc. 32nd Solid Mech. Con-ference, SolMec'98, Zakopane, Poland, September 1-5, 295-296, 1998.
- [197] Pęcherski R.B., Nowak Z., Korbel K., Plastyczność z efektami mikro-pasm ocinania. Zastosowanie numerycznej analizy próby kanalikowej do identufikacji modelu, Rudy Metale, R45, 238-244, 2000.
- [198] Pęcherski R. B., Nowak Z., Korbel K., Numeryczna identyfikacja modelu plastycznooci z efectami mikropasm ocinania, Materiały 7-ej Konferencji KomPlas Tech 2000, Krynica-Czarny Potok, 16-19 stycznia 2000 (ed. Pietrzyk M.), 2000.
- [199] Press W.H., Teukolsky SA., Vetterling W.T., Flannery B.P., Numerical Recipes in C: The Art of Scientific Computing, Cambridge University Press, Cambridge, 1993-
- [200] Prevost J.H., Loret B., Dynamie strain localization in elasto-visco-plastic solids, II. Piane strain examples, Computer Methods in Applied Mechanics and Engineering, 83, 274-294, 1990.
- [201] Puttick K.E., Ductile fracture in metals, Phil Mag., 4, p. 964, 1959.
- [202] Ragab A.R., A model for ductile fracture based on internal necking of spheroidal voids, Acta Materialia, 52, pp. 3997-4009, 2004.
- [203] Rice J.R., Tracey D.M., On the ductile enlargement of voids in triaxial stress fields, J. Mech. Phys. Solids, 17, 201-217, 1969.
- [204] Rice J.R., Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity, J. Mech. Phys. Solids, 19, 433-455, 1971.
- [205] Rice J.R., The localization of plastic deformation, w: Theoretical and applied mechanics, red. W.T. Koiter, North-Holand, 207-220, 1976.
- [206] Ritchie R.O., Knott J.F. and Rice J.R., On the relationship between critical tensile stress and fracture toughness in mild steel, J. Mech. Phys. Solids, 21, 395-410, 1973.
- [207] Rogers H.C., The tensile fracture of ductile metals, Transactions of the Metallurgical Society of AIME, 218, pp.498-506, 1960.
- [208] Rosochowski A., Shear band localization in ductile porous materials, in: Proc. of International Sympo. on Plastic Instability, Considere Memorial(18Ąl-19lĄ), Paris, 9-13 September 1985, pp. 135-146, Ecole Nationale des Ponts et Chaussees, 1985
- [209] Rosochowski A. and Olejnik L., Damage evolution in mild steel, Int. J. Mech. Sci., 30, pp.51-60, 1988.
- [210] Rudnicki J.W. and Rice J.R., Conditions for the localization of deformation in pressure-sensitive dilatant materials, J. Mech. Phys. Solids, 23, pp.371-394, 1975.
- [211] Russ J.C., Computer-assisted microscopy: the measurement and analysis of images, Wyd. 2, Plenum Press, New York, 1991.
- [212] Russ J.C., Dehoff R.T., Practical stereology,Wyd. 2, Kluwer, New York, 2000.
- [213] Saje M., Necking of a cylindrical bar in tension, Int. J. Solids Struct, 15, 731-742, 1979.
- [214] Saje M., Pan J. and Needleman A., Void nucleation effects on shear localization in porous plastic solids, Int. J. Fracture, 19, pp. 163-182, 1982.
- [215] Seber G.A.F. and Wild C.J., Nonlinear Regression, John Wiley and Sons, Inc., 1989.
- [216] Seibert T., Lehn J., Schwan S., Kollmann F.G., Identification of materiał parameters for inelastic constitutive models stochastic simulations for the analysis of deviations, Continuum Mechanics and Thermodynamics, 12, 95-120, 2000.
- [217] Shanno D.F, Conditioning of ąuasi-Newton methods for function mini-mization, Maths. Comp., 24, pp. 647-656, 1970.
- [218] Shenoy V.B., Preund L.B., Necking bifurcations during high strain ratę extension, J. Mech. Phys. Solids, 47, 2209-2233, 1999.
- [219] Shibata M. and Ono K., Internal stresses due to an obiatę spheroidal inclusion: Misfit, Inhomogeneity and Plastic Deformation Effects, Acta Metali, 26 (6), p.921-932, 1978.
- [220] Shima S. and Oyane M., Plasticity for porous solids, Int. J. Mech. Sci. 18, 285-291, 1976.
- [221] Simo J.C. and Hughes T.J.R., Computational Inelasticity, Springer, New York, 1998.
- [222] Sluys L.J., Wave propagation, localization and dispersion in softening solids, Doctoral Thesis, Delft, Delft University Press, 1992.
- [223] Sluys L.J., Bolek J. and de Borst R., Wave propagation and localization in viscoplastic media, Proc. Third Inter. Conference on Computational Plasticity, Fundamentals and Applications, Barcelona, April 6-10, 1992, (eds. Owen D.R.J., Onate E. and E.Hinton), Pineridge Press, Swansea, pp. 539-550, 1992.
- [224] Sobczyk K., O identyfikacji układów, Prace IPPT, 26/1986, 1986.
- [225] Sobczyk K. i Spencer B.F., Jr., Stochastyczne modele zmęczenia materiałów, WNT, Warszawa, 1996.
- [226] Sóderstróm T. and Stoica P., System identification, Prentice Hall, International University Press, Cambridge, 1989.
- [227] Speich G.R., Spitzig W.A., Effect of volume fraction and shape of sulfide inclusions on through-thickness ductility and impact energy of high-strength 4340 plate steels, Metali. Trans. A, 13, pp. 2239-2257, 1982.
- [228] Springmann M., Kuna M., Identification of materiał parameters of the Rousselier model by non-linear optimization, Computational Materials Science, 26, 202-209, 2003.
- [229] Stachurski A., Wierzbicki A.P., Podstawy Optymalizacji, Wyd. 2, Oficyna Wydawnicza Politechniki Warszawskiej, Warsaw, 2001.
- [230] Steglich D., Brocks W., Micromechanical mdelling of the behaviour of ductile materials including particles, Comput. Mater. Sci., 9, pp.7-17, 1997.
- [231] Stoica P., Sel6n Y., Li J., Multi-model approach to model selection, Digital Signal Processing, 14 (5), 399-412, 2004.
- [232] Szeliga D., Matuszyk P., Kuziak R., Pietrzyk M., Identification of rhe-ological parameters on the basis of various types of plastometric tests, J. Materials Processing Technology, 125-126, 150-154, 2002.
- [233] Szyndler D., Pietrzyk M., Lenard J.G. and Fyke S.H., Inverse analysis applied to the evaluation of friction and rheological parameters in hot forming of steels, Metal forming 2000, Pietrzyk M. et al. (eds), 2000 Balkema, Rotterdam, 101-106, 2000.
- [234] Szyndler D., Problem odwrotny w zastosowaniu do identyfikacji parametrów procesów plastycznej przeróbki metali, Praca doktorska, AGH Wydz. Metalurgii i Inżynierii Materiałowej, Kraków, 2001.
- [235] Tórn A., Zilinskas A., Global Optimization. Lecture notes in computer science 350, Springer-Verlag, Berlin, Heidelberg, 1989.
- [236] Taylor J.R., Wstęp do analizy błędu pomiarowego, Wyd. 2, Warszawa, PWN, 1999.
- [237] Taylor G.I. and Quinney H., The latent energy remaining in a metal after cold working, Proc. R. Soc. Lond., A143, 307-326, 1934.
- [238] Thomason P.F., Three-dimensional models for the plastic limit-loads at incipient failure of the intervoid matrix in ductile porous solids, Acta Metali, 33, 1079-1085, 1985.
- [239] Toya M., A crack along the interface of a circular inclusion embedded in an infinite solid, J. Mech. Phys. Solids, 22, 325-348, 1974.
- [240] Tracey D.M., Strain-hardening and interaction effects on the growth of voids in ductile fracture, Engr. Fracture Mechanics, 3, pp. 301-315, 1971.
- [241] Tvergaard V., Influence of void nucleation on ductile shear fracture at a free surface, J. Mech. Phys. Solids, 30, 399-425, 1982.
- [242] Tvergaard V., Materiał failure by void coalescence in localized shear bands, Int. J. Solids Structures, 18, pp. 659-672, 1982.
- [243] Tvergaard V. and Needleman A., Analysis of the cup-cone fracture in a round tensile bar, Acta Metali, 32, pp. 157-169, 1984.
- [244] Valiente A., On Bridgman's stress solution for a tensile neck applied to axisymmetrical blunt notched tension bars, Trans. ASME, J. App. Mechanics, 68, 412-419, 2001.
- [245] Vuong Q., Likelihood ratio tests for model selection and nonnested hy-pothesis, Econometrica, 57, 307-333, 1989.
- [246] Wang W.M., Stationary and propagative instabilities in metals - a com-putational point of view, Doctoral Thesis, Delft, Delft University Press, 1997.
- [247] Wang W.M., Sluys L.J., Borst R. de, Interaction betwęen materiał length scalę and imperfection size for localization phenomena in vi-scoplastic media, European Journal of Mechanics, 15, 447-464, 1996.
- [248] Yoffe E.H., Calculation of elastic strain; spherical particie in a cubic materiał, Philos. Mag., 30, 923-933, 1974.
- [249] Zbib H.M. and Jurban J.S., Dynamie shear banding: A three-dimensional analysis, Int. J. Plasticity, 8, 619-641, 1992.
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