Unified anisotropic strength criterion rank two for fibrous materials like wood

• Autorzy: Koczan G. , Kozakiewicz P.

Identyfikatory

DOI

10.12841/wood.1644-3985.259.11

• Języki publikacji: EN

Abstrakty

EN

Wood is a fibrous orthotropic material additionally characterized with sign- -sensitivity. Thus, determining the universal conditions of its strength constitutes a complex task. In their work, the authors present the anisotropic generalization of the Huber criterion which is closer to Norris’s proposal, as opposed to Hill (and Hofmann) and Mises proposal. The obtained criterion incorporates conditions which are additionally imposed on a special case of Tsai-Wu criterion for composite materials.

Słowa kluczowe

EN

Huber criterion; anisotropic strength criteria; Mises; Hill; Norris; Hoffman; Tsai-Wu; interaction term; effort’s deviator; tension-compression; asymmetry; support crushing; American sweetgum

• Wydawca: Sieć Badawcza Łukasiewicz - Poznański Instytut Technologiczny
• Czasopismo: Drewno : prace naukowe, doniesienia, komunikaty
• Rocznik: 2018
• Tom: vol. 61, nr 201
• Strony: 119--
• Opis fizyczny: Bibliogr. 53 poz., rys., tab.

Twórcy

autor

Koczan G.

• Departament of Wood Technology, SGGW, Warsaw, Poland

autor

Kozakiewicz P.

• Departament of Wood Technology, SGGW, Warsaw, Poland

Bibliografia

• Abrate S. [2008]: Criteria for yielding or failure of cellular materials. Journal of Sandwich Structures and Materials 10: 5-51
• Azzi V.D., Tsai S.W. [1965]: Anisotropic strength of composites. Experimental Mechanics 5 [9]: 283-288
• Bodig J., Jayne B.A. [1993]: Mechanics of wood and wood composites. Krieger Publishing Company, Melbourne
• Cabrero J.M., Gebremedhin K.G. [2010]: Evaluation of failure criteria in wood members. Proceeding of: 11th World Conference on Timber Engineering, Trentino, June
• Camanho P.P. [2002]: Failure criteria for fibre-reinforced polymer composites. Departamento de Engenharia: 1-13
• Clouston P. [1995]: The Tsai-Wu strength theory for Douglas-fir laminated veneer. Published dissertation at the University of British Columbia, Vancouver, Canada
• Clouston P., Lam F., Barret D. [1998]: Interaction term of Tsai-Wu theory for laminated veneer. Journal of Materials in Civil Engineering 10 [2]: 112-116
• Cowin S.C. [1979]: On the strength anisotropy of bone and wood. Journal of Applied Mechanics 46 [4]: 832-837
• DeTeresa S.J., Larsen G.J. [2001]: Derived interaction parameters for the Tsai-Wu tensor polynomial theory of strength for composite materials. American Society of Mechanical Engineers, International Mechanical Engineering Congress & Exposition, 11-16 November 2001. New York
• Doyoyo M., Wierzbicki T. [2003]: Experimental studies on the yield behaviour of ductile and brittle aluminum foams. International Journal of Plasticity 19: 1195-1214
• Feldhusen J., Krishnamoorthy S. [2009]: A unique criterion for describing failure of foam core sandwich materials – a design engineering perspective. ICCM Edinburgh, July
• Garab J., Szalai J. [2010]: Comparison of anisotropic strength criteria in the biaxial stress state. Drewno 53 [183]: 51-66
• Gdoutos E.E., Daniel I.M. [2008]: Failure modes of composite sandwich beams. Theoretical and Applied Mechanics 35 [1-3]: 105-118
• Gioux G., McCormack T.M., Gibson L.J. [2000]: Failure of aluminum foams under multiaxial loads. International Journal of Mechanical Sciences 42: 1097-1117
• Gol’denblat I., Kopnov V.A. [1966]: Strength of glass reinforced plastic in the complex stress stat., Polymer Mechanics 1: 70-78
• Green D.W., Winandy J.E., Kretschmann D E. [1999]: Mechanical properties of wood. In: Ross R.J. (ed.),Wood handbook – wood as engineering material. University Press of the Pacific, Madison
• Guindos P. [2014]: Comparison of different failure approaches in knotty wood. Drewno 57 [193]: 51-68. DOI: 10.12841/wood.1644-3985.065.03
• Hering S., Saft S., Resch E., Niemz P., Kaliske M. [2012]: Characterisation of moisturedependent plasticity of beech wood and its application to a multi-surface plasticity model. Holzforschung 66 [3]: 373-380
• Hill R. [1948]: A theory of the yielding and plastic flow of anisotropic metals. Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences 193: 281-297
• Hoffman O. [1967]: The brittle strength of orthotropic materials. Journal of Composite Materials 1: 200-206
• Huber M.T. [1904]: Właściwa praca odkształcenia jako miara wytężenia materiału. Czasopismo Techniczne XXII: 38-50, 61-62, 80-81; translation: Huber M.T. [2004]: Specific work of strain as a measure of material effort. Archives of Mechanics 56 [3]: 173-190
• Huber M.T. [1912]: Rola teoryi w umiejętnościach technicznych (The role of theory in technical skills). Czasopismo Techniczne XXX: 385-387
• Huber M.T. [1921]: Teoria płyt prostokątnie różnokierunkowych (The theory of rectangularly non-omnidirectional plates). Wydawnictwo Towarzystwa Naukowego, Lwów
• Huber M.T. [1927]: Rola i znaczenie nauk ścisłych i przyrodniczych w umiejętnościach inżynierskich (The role and importance of mathematical and natural sciences and in engineering skills). Przegląd Techniczny LXV [15]: 354-358
• Huber M.T. [1929]: Probleme der Statik technisch wichtiger orthotroper Platten (Problems of the statics of technically important orthotropic plates). Akademia Nauk Technicznych, Warszawa
• Koczan G., Kozakiewicz P. [2017]: The role of shear stress in the bending strength test of short and medium length specimens of clear wood. Drewno 60 [199]: 162-175. DOI: 10.12841/wood.1644-3985.102.12
• Kolios A.J., Proia S. [2012]: Evaluation of the reliability performance of failure criteria for composite structures. World Journal of Mechanics 2: 162-170
• Kollmann F., Côté W.A. [1984]: Principles of wood science and technology. Vol. 1. Solid wood. Reprint Springer-Verlag, Berlin, Heidelberg, New York, Tokyo
• Kordzikowski P. [2012]: Wytężenie wybranych materiałów anizotropowych z asymetrią zakresu sprężystego (Stress of selected anisotropic materials with asymmetry of the elastic range). Zeszyty Naukowe Akademii Marynarki Wojennej w Gdyni LIII no. 3 [190]
• Krzysik F. [1978]: Nauka o drewnie (Wood science). Państwowe Wydawnictwo Naukowe, Warszawa
• Kyzioł L. [2009]: Wytrzymałość drewna modyfikowanego w złożonych stanach naprężeń, cześć II (Strength of modified wood in complex stress states, part II). Zeszyty Naukowe Akademii Marynarki Wojennej w Gdyni XLX no. 2 [177]
• Liu J.Y. [1984]: Evaluation of the tensor polynomial strength theory for wood. Journal of Composite Material 18: 216-225
• Makowski A. [2013]: Assessment of strength parameters of beech plywood in terms of failure criteria. Annals of Warsaw University of Life Sciences – SGGW Forestry and Wood Technology 88: 143-146
• Mascia N.T., Simoni R.A. [2013]: Analysis of failure criteria applied to wood. Engineering Failure Analysis 35: 703-712
• Matsuoka H., Nakai T. [1985]: Relationship among Tresca, Mises, Mohr-Coulomb and Matsuoka-Nakai failure criteria. Soils and Foundations 25 [4]: 123-128
• Norris C.B. [1962]: Strength of orthotropic materials subjected to combined stresses. US Forest Products Laboratory, Report No. 1816, Madison, WI
• Pěnčík J. [2015]: Modelling of experimental tests of wooden specimens from Scots pine (Pinus sylvestris) with the help of anisotropic plasticity material model. Drvna Industrija 66 [1]: 27-33
• Rowlands R.E., Gunderson D.E., Suhling J.C., Johnson M.W. [1985]: Biaxial strength of paperboard predicted by Hill-type theories. Journal of Strain Analysis 20 [2]
• Smith L., Landis E., Gong M. [1985]: Fracture and fatigue in wood. John Wiley and Sons Chichester, England
• Timoshenko S.P. [1953]: History of strength of materials. McGraw-Hill, New York
• Tresca H. [1864]: Mémoire sur l’écoulement des corps solides soumis à de fortes pressions (Memory on the flow of solid bodies subjected to high pressures). Comptes rendus hebdomadaires des séances de l'Académie des sciences 59: 754-758
• Tsai S.W., Wu E.M. [1971]: A general theory of strength for anisotropic material. Journal of Composite Materials 5: 58-80
• van der Put T.A.C.M. [1982]: A general failure criterion for wood. Timber Engineering Group Meeting, paper 23 (Sweden), IUFRO, Vienna
• van der Put T.A.C.M. [2015]: Exact failure criterion of wood – Theory extension and synthesis of all series A publications. Delft Wood Science Foundation Publication Series, no. 1
• von Mises R. [1928]: Mechanik der plastischen Formänderung von Kristallen (Mechanics of plastic deformation of crystals). Zeitschrift für Angewandte Mathematik und Mechanik [8] :161-185
• Zahr Vinuela J., Perez Castellanos J.L. [2015]: On the use of the anisotropic criterion of von Mises (1928) as yield condition for particle reinforced composites. Composite Structures 12 [134]: 613-632
• List of standards
• DIN 52186:1978 Prüfung von Holz. Biegeversuch (Testing of wood. Bending test) (current)
• EN 13556:2003 Round and sawn timber – Nomenclature of timbers used in Europe (current)
• ISO 3133:1975 Wood – Determination of ultimate strength in static bending (rep. 2014)
• ISO 13061-1:2014 Physical and mechanical properties of wood - Test methods for small clear wood specimens – Part 1: Determination of moisture content for physical and mechanical (current)
• ISO 13061-2:2014 Physical and mechanical properties of wood – Test methods for small clear wood specimens – Part 2: Determination of density for physical and mechanical tests (current)
• ISO 13061-3:2014 Physical and mechanical properties of wood – Test methods for small clear wood specimens – Part 3: Determination of ultimate strength in static bending (current)
• PN-D-04103:1977 Drewno. Oznaczanie wytrzymałości na zginanie statyczne (Wood. Determination of ultimate strength in static bendin.) (withdrawn 2014)