Nowacki's double shear test in the framework of the anisotropic thermo-elasto-viscoplastic material model

Glema, A.; Łodygowski, T.; Sumelka, W.

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Nowacki's double shear test in the framework of the anisotropic thermo-elasto-viscoplastic material model

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Glema A. , Łodygowski T. , Sumelka W.

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In the paper, the numerical simulation of Nowacki's double shear test in the framework of recently proposed viscoplasticity theory for anisotropic solids is presented. The numerical analysis comprises the full spatial modelling and is carried out for the DH-36 steel sheet in adiabatic conditions (the analysis of anisotropic bodies can be led only on 3D models). During analyses, strain rates of order 10⁴-10⁷ s^-1 are observed and the process time duration up to full damage (loss of continuity in the localisation zone) is around 150-300 žs. The novelty of the research is focused on the formulation that includes the anisotropy of the intrinsic microdamage process. Thus, it makes possible to obtain qualitatively and quantitatively new results compared with the existing models, like tracing the softening directions and better (closer to experiment) prediction of damage paths.

W pracy przedstawiono numeryczne symulacje testu podwojnego ścinania, zaproponowanego przez prof. Nowackiego, w ramach sformułowania teorii lepkoplastyczności dla anizotropowych ciał stałych. Analizy numeryczne obejmują modele trójwymiarowe i są wykonane dla stali DH-36 w warunkach adiabatycznych (analiza ciał anizotropowych może być przeprowadzona wyłącznie na modelach trojwymiarowych). W trakcie analiz obserwuje się prędkości deformacji rzędu 10⁴-10⁷ s^-1, a czas trwania procesu do całkowitego zerwania próbki (utraty ciągłości w strefie lokalizacji) jest z przedziału 150-300 žs. Oryginalność badań wynika z faktu uwzględnienia w definicji konstytutywnego modelu anizotropowego wewnętrznego procesu mikrouszkodzeń. W rezultacie, uzyskane wyniki dają jakościowo i ilościowo nowy obraz procesu, w szczegolności umożliwiają śledzenie kierunkow osłabienia oraz dokładniejsze (bliższe rezultatom eksperymentalnym) odwzorowanie ścieżki zniszczenia.

Słowa kluczowe

microdamage anisotropy metals constitutive relation

Wydawca

Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej

Czasopismo

Journal of Theoretical and Applied Mechanics

Rocznik

2010

Tom

Vol. 48 nr 4

Strony

973--1001

Opis fizyczny

Bibliogr. 52 poz., rys.

Twórcy

autor

Glema A.

autor

Łodygowski T.

autor

Sumelka W.

Poznan University of Technology, Faculty of Civil and Environmental Engineering, Poznań, Poland, adam.glema@put.poznan.pl

Bibliografia

1. Abaqus Version 6.9ef1 Theory Manual, 2010
2. Abu Al-Rub R.K., Voyiadjis G.Z., 2006, A finite strain plastic-damage model for high velocity impact using combined viscosity and gradient localization limiters: Part I – theoretical formulation, International Journal of Damage Mechanics, 15, 4, 293-334
3. Campbell J.D., 1953, The dynamic yielding of mild steel, Acta Metallurgica, 1, 6, 706-710
4. Dienes J.K., 1979, On the analysis of rotation and stress rate in deforming bodies, Acta Mechanica, 32, 217-232
5. Dornowski W., 1999, Influence of finite deformations on the growth mechanism of microvoids contained in structural metals, Archives of Mechanics, 51, 1, 71-86
6. Dornowski W., Perzyna P., 2002a, Analysis of the influence of various effects on cycle fatigue damage in dynamic process, Archive of Applied Mechanics, 72, 418-438
7. Dornowski W., Perzyna P., 2002b, Localized fracture phenomena In thermo-viscoplastic flow process under cyclic dynamic loadings, Acta Mechanica, 155, 233-255
8. Dornowski W., Perzyna P., 2006, Numerical investigation of localized fracture phenomena in inelastic solids, Foundations of Civil and Environmental Engineering, 7, 79-116
9. Gary G., Nowacki W.K., 1994, Essai de cisaillement plan appliqu´e `a des tˆoles minces, Journal de Physique IV, 4, C8, 65-70
10. Glema A., 2004, Analiza natury falowej zjawiska lokalizacji odkształceń plastycznych w ciałach stałych, Publishing House of Poznan University of Technology, Rozprawy, 379 [in Polish]
11. Glema A., Łodygowski T., Perzyna P., 2008, Numerical investigation of dynamic shear bands in inelastic solids as a problem of mesomechanics, Computational Mechanics, 41, 2, 219-229
12. Glema A., Łodygowski T., Perzyna P., Sumelka W., 2006, Constitutive anisotropy induced by plastic strain localization, In: 35th Solid Mechanics Conference, Kraków, Poland, September 4-8, 139-140
13. Glema A., Łodygowski T., Sumelka W., 2010, Towards the modelling of an anisotropic solids, Computational Methods in Science and Technology
14. Glema A., Łodygowski T., Sumelka W., Perzyna P., 2009, The numerical analysis of the intrinsic anisotropic microdamage evolution in elastoviscoplastic solids, International Journal of Damage Mechanics, 18, 3, 205-231
15. Grebe H.A., Pak H.-R., Meyers M.A., 1985, Adiabatic shear localization in titanium and Ti-6 pct Al-4 pct V alloy, Metallurgical and Materials Transactions A, 16, 5, 761-775
16. Klepaczko J.R., 1990, Behavior of rock like materials at high strain rates In compression, International Journal of Plasticity, 6, 415-432
17. Klepaczko J.R., 1994, An experimental technique for shear testing at high and very high strain rates. The case of mild steel, International Journal of Impact Engineering, 15, 25-39
18. Klepaczko J.R., 2007, Constitutive relations in dynamic plasticity, pure metals and alloys, Advances in Constitutive Relations Applied in Computer Codes, CISM, Udine, Italy, July 23-27
19. Klepaczko J.R., Nguyen H.V., Nowacki W.K., 1999, Quasi-static and dynamic shearing of sheet metals, European Journal of Mechanics – A/Solids, 18, 271-289
20. Lee E.H., 1969, Elastic-plastic deformation at finite strain, ASME Journal of Applied Mechanics, 36, 1-6
21. Łodygowski T., 1995, On avoiding of spurious mesh sensitivity in numerical analysis of plastic strain localization, Computer Assisted Mechanics and Engineering Sciences, 2, 231-248
22. Łodygowski T., 1996, Theoretical and Numerical Aspects of Plastic Strain Localization, Publishing House of Poznan University of Technology, 312, D.Sc.Thesis
23. Łodygowski T., Glema A., Sumelka W., 2008, Anisotropy induced by evolution of microstructure in ductile material, In: 8th World Congress on Computational Mechanics (WCCM8), 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008), Venice, Italy,June 30 – July 5
24. Łodygowski T., Perzyna P., 1997a, Localized fracture of inelastic polycrystalline solids under dynamic loading process, International Journal Damage Mechanics, 6, 364-407
25. Łodygowski T., Perzyna P., 1997b, Numerical modelling of localized fracture of inelastic solids in dynamic loading process, International Journal for Numerical Methods in Engineering, 40, 4137-4158
26. Łodygowski T., Perzyna P., Lengnick M., Stein E., 1994, Viscoplastic numerical analysis of dynamic plastic shear localization for a ductile material, Archives of Mechanics, 46, 4, 541-557
27. Marsden J.E., Hughes T.J.H., 1983, Mathematical Foundations of Elasticity, Prentice-Hall, New Jersey
28. Narayanasamy R., Parthasarathi N.L., Narayanan C.S., 2009, Effect of microstructure on void nucleation and coalescence during forming of three different HSLA steel sheets under different stress conditions, Materials and Design, 30, 1310-1324
29. Nemat-Nasser S., Guo W.-G., 2003, Thermomechanical response of DH-65 steel plates over a wide range of strain rates and temperatures, Mechanics of Materials, 35, 1023-1047
30. Nemes J.A., Eftis J., 1991, Several features of a viscoplastic study of plateimpact spallation with multidimensional strain, Computers and Structures, 38, 3, 317-328
31. Nemes J.A., Eftis J., 1993, Constitutive modelling of the dynamic fracture of smooth tensile bars, International Journal of Plasticity, 9, 2, 243-270
32. Nowacki W.K., Gadaj P., Luckner J., 2006, Effect of strain rate on ductile fracture, Report IPPT, Warsaw, January
33. Nowak Z., Nowacki W.K., Perzyna P., Pęcherski R.B., 2007, Modelling of localized fracture phenomena in high strength steels, In: 10th European Mechanics of Materials Conference EMMC10, Kazimierz Dolny, Poland, June 11-14
34. Perzyna P., 1963, The constitutive equations for rate sensitive plastic materials, Quarterly of Applied Mathematics, 20, 321-332
35. Perzyna P., 1966, Fundamental problems in viscoplasticity, Advances in Applied Mechanics, 9, 243-377
36. Perzyna P., 1986a, Constitutive modelling for brittle dynamic fracture In dissipative solids, Archives of Mechanics, 38, 725-738
37. Perzyna P., 1986b, Internal state variable description of dynamic fracture of ductile solids, International Journal of Solids and Structures, 22, 797-818
38. Perzyna P., 1994, Instability phenomena and adiabatic shear band localization in thermoplastic flow process, Acta Mechanica, 106, 173-205
39. Perzyna P., 1995, Interactions of elastic-viscoplastic waves and localization phenomena in solids, In: IUTAM Symposium on Nonlinear Waves in Solids, Wegner J.L. and Norwood F.R. (Edit.), Victoria, Canada, August 15-20, 114-121
40. Perzyna P., 2005, The thermodynamical theory of elasto-viscoplasticity, Engineering Transactions, 53, 235-316
41. Perzyna P., 2006, The thermodynamical theory of elasto-viscoplasticity accounting for microshear banding and induced anisotropy effects, In: 35th Solid Mechanics Conference, Kraków, Poland, September 4-8, 35-36
42. Perzyna P., 2008, The thermodynamical theory of elasto-viscoplasticity accounting for microshear banding and induced anisotropy effects, Mechanics, 27, 1, 25-42
43. Pęcherski R.B., Nowacki W.K., Nowak Z., Perzyna P., 2009, Effect of strain rate on ductile fracture. A new methodology, In: Workshop, Dynamic Behaviour of Materials, In Memory of Our Friend and Colleague Prof. J.R. Klepaczko, Metz, France, May 13-15, 65-73
44. Rusinek A., Klepaczko J.R., 2009, Experiments on heat generated Turing plastic deformation and stored energy for TRIP steels, Materials and Design, 30, 1, 35-48
45. Seaman L., Curran D.R., Shockey D.A., 1976, Computational models for ductile and brittle fracture, Journal of Applied Physics, 47, 11, 4814-4826
46. Shima S., Oyane M., 1976, Plasticity for porous solids, International Journal of Mechanical Sciences, 18, 285-291
47. Sumelka W., 2009, The Constitutive Model of the Anisotropy Evolution for Metals with Microstructural Defects, Publishing House of Poznan University of Technology, Poznań, Poland
48. Sumelka W., Glema A., 2007, The evolution of microvoids in elastic solids, In: 17th International Conference on Computer Methods in Mechanics CMM- 2007, Łódź-Spała, Poland, June 19-22, 347-348
49. Sumelka W., Glema A., 2009, Theoretical and computational aspects of implementation of anisotropic constitute model for metals with microstructural defects, In: 18th Int. Conf. on Computer Methods in Mechanics CMM-2009, Zielona Góra, Poland, May 18-21, 451-452
50. Truesdell C., Noll W., 1965, The Non-Linear Field Theories of Mechanics, In: Handbuch der Physik III/3, Springer-Verlag, S. Fl¨ugge (Edit.)
51. Voyiadjis G.Z., Abu Al-Rub R.K., 2006, A finite strain plastic-damage model for high velocity impacts using combined viscosity and gradient localization limiters: Part II – Numerical aspects and simulations, International Journal of Damage Mechanics, 15, 4, 335-373
52. Xiao H., Bruhns O.T., Meyers A., 1997, Logarithmic strain, logarithmic spin and logarithmic rare, Acta Mechanica, 124, 89-105

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