A multidimensional anisotropic strength criterion based on Kelvin modes

International Journal of Solids and Structures

Volumn 37, Issue 21, 2000, Pages 2915-2935

  Arramon, Yves P ^a   Mehrabadi, Morteza M ^b   Martin, David W ^b   Cowin, Stephen C ^a  

^a City University of New York   (United States)

^b Tulane University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; FAILURE (MECHANICAL); PLASTIC DEFORMATION; STRENGTH OF MATERIALS; STRESSES;

KELVIN MODE; MULTIDIMENSIONAL ANISOTROPIC STRENGTH;

ELASTOPLASTICITY;

EID: 0034190361     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(98)00338-2     Document Type: Article

References (36)

1. Arramon, Y.P., 1997. A multidimensional anisotropic strength criterion based on Kelvin mode subject to damage. Ph.D. thesis, The City University of New York.
2. Biegler M.W., Mehrabadi M.M. An energy-based failure criterion for anisotropic solids subject to damage. Studies in Applied Mechanics. 34:1993;23-34.
3. Biegler M.W., Mehrabadi M.M. An energy-based constitutive model for anisotropic solids subjects to damage. Mechanics of Materials. 19:1995;151-164.
4. Bridgeman P. The compressibility of thirty metals. Proc. Am. Acad. Arts Sci. 58:(5):1923;164-242.
5. Cowin S.C. On the strength and anisotropy of bone and wood. J. Applied Mechanics. 46:(4):1979;832-838.
6. Cowin S.C. Bone Mechanics. 1989;CRC Press, Boca Raton.
7. Cowin S.C., Mehrabadi M.M. Identification of the elastic symmetry of bone and other materials. J. Biomechanics. 22:(6/71):1995;503-515.
8. Cowin S.C., Mehrabadi M.M. Anisotropic symmetries of linear elasticity. Appl. Mech. Rev. 48:1995;247-285.
9. Cowin S.C., Yang G. Averaging anisotropic elasticity constant data. J. Elasticity. 18:1997;151-180.
10. Feng W.W. A failure criterion for composite materials. Journal of Composite Materials. 25:1991;88.
11. Francois, M., 1995. Identification des Symétries Matérielles de Materiaux Anistrope. Ph.D. thesis, I'Université Pierre et Marie Curie (Paris 6) France.
12. Green G.E., Bishop A.W. A note on the drained strength of sand under generalized strain conditions. Geotechnique. 19:(1):1969;144-149.
13. Gunderson D.E., Bendtsen L.A., Rowlands R.E. A mechanistic perspective of biaxial strength of paperboard. Journal of Mechanics. 25:1985;75-84.
14. Harrigan T.P., Jasty M., Mann R.W., Harris W.H. Limitations of the continuum assumption in cancellous bone. J. Biomechanics. 21:(4):1988;269-275.
15. Hashin Z. Failure criteria for unidirectional fiber composites. J. Appl. Mech. 47:1980;329.
16. Hencky H. Zur Theorie Plastischer Deformationen und die Hierdurch im Material Hervorgerufenen Nach-Spannungen. Z. Ang. Math. Mech. 4:1924;323-334.
17. Hill R. The Mathematical Theory of Plasticity. 1950;Oxford University Press, London.
18. Hoffman O. The brittle strength of orthotropic materials. J. Composite Materials. 1:1967;200-206.
19. Huber, M.T., 1904. Czasopimo Technizne. Lwóv.
20. Kupfer H.B., Gerstle K.H. Behavior of concrete under biaxial stresses. J. Engr. Mech. Div. Proc. ASCE. 99:(EM4):1973;853-866.
21. Lade P.V., Musante H.M. Three-dimensional behavior of remolded clay. Journal of the Geothenical Engineering Division ASCE. 104:(GT2):1978;193-209.
22. Larmor Sir Joseph. Origins of Clerk Maxwell's Electric Ideas, as Described in Familiar Letters of William Thomson. 1937;31-33 Cambridge University Press, London.
23. Martin, D.W., 1994. An energy based model for predicting the elastic-plastic response and failure of anisotropic materials. Master's thesis, Tulane University.
24. Mehrabadi M.M., Cowin S.C. Eigentensors of linear antistropic elastic materials. J. Mech. Appl. Math. 43:1990;15-41.
25. Nadai, A., 1950. Theory of Flow and Fracture of Materials. McGraw-Hill.
26. Podgórski J. General failure criterion for isotropic media. Journal of Engineering Mechanics. 111:(2):1983;188-201.
27. Rowlands, R.E., 1985. Strength (failure) theories and their experimental correlation. In: Shi, G.C., Skudra, A.M. (Eds.), Handbook of Composites, vol. 3, Failure Mechanics of Composites. Elsevier Science Publishers B.V., pp. 71-125.
28. Rychlewski J. On Hooke's Law, Prikl. Matem. Mekhan. 48:(3):1984;303-314.
29. Suhling J.C., Rowlands R.E., Johnson M.W., Gunderson D.E. Tensorial strength analysis of paperboard. Experimental Mechanics. 25:1985;75-84.
30. Suhling, J.C., Johnson, M.W., Rowlands, R.E., Gunderson, D.E., 1989. Non linear elastic relation for cellulosic materials. Proceedings of third joint ASCE/ASME Conference on Mechanics of Cellulosic and Polymeric Materials. AMD-vol. 99, 1-13.
31. Schreyer J.L., Zuo Q.H. Anisotropic yield surfaces based on elastic projection operators. J. Appl. Mech. 62:1995;780-785.
32. Tennyson R.C., Nanyaro A.P., Wharram G.E. Application of the cubic polynomial strength criterion to the failure analysis of composite materials. J. Composite Materials. 14:1980;28-44.
33. Thompson W. Elements of a mathematical theory of elasticity. Phil. Trans. R. Soc. 166:1856;481.
34. Tsai S.W., Wu E.M. A general theory of strength for anisotopic materials. J. Composite Materials. 5:1971;58-80.
35. von Mises R. Mechanik der pastichen formanderung von kristallen. Z. Angewandte Mathematik und Mechanik. 8:1928;161-185.
36. Wu, E.M., Scheublein, J.K., 1974. Lamina strength - a direct characterization procedure. Proceedings of third Conference on Composite Materials: Testing and Design. ASTM STP 546, American Society for Testing and Materials, pp. 188-206.