A discrete-integral strength criterion for complicated stress states

Fatigue and Fracture of Engineering Materials and Structures

Volumn 22, Issue 11, 1999, Pages 989-995

  Kornev, V M ^a   Kurguzov, V D ^a  

^a LAVRENTYEV INSTITUTE OF HYDRODYNAMICS   (Russian Federation)

Author keywords

Atomic lattice; Bifurcation; Crack; Fracture; Strength

Indexed keywords

EID: 1842436679     PISSN: 8756758X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1460-2695.1999.00231.x     Document Type: Article

References (24)

1. V. V. Novozhilov (1969) On to the necessary and sufficient criterion of brittle strength. Prikladnaya Matematica I Mekhanika 33, 212-222.
2. V. M. Kornev (1996) Integral criteria for brittle strength of cracked bodies with defects in the presence of vacancies at the tip of a crack. Strength of compacted ceramics-type bodies. J. Appl. Mech. Techn Phys. 37, 756-764.
3. Y. N. Rabotnov (1988) Solid Mechanics, Nauka, Moscow.
4. K. G. Schmitt-Thomas (1988) Metallkunde für das Maschinenwesen, Springer, Berlin.
5. N. H. MacMillan (1983) The ideal strength of solids. In: Atomistic of Fracture (Edited by R. Latanision and J. R. Picknes), Plenum Press, New York, pp. 95-164.
6. S. N. Korobeinikov (1997) The application of the finite element method to a solution of nonlinear problems of deformation and stability loss of atomic lattices. Preprint/RAS, Siberian Division, The Lavrentyev Institute of Hydrodynamics, Novosibirsk, Vol. 1-97, pp. 1-20.
7. K.-J. Bathe and E. N. Dvorkin (1983) On the automatic solution of nonlinear finite element equations. Computers Structures 17, 871-879.
8. T. Sokol and M. Witkowski (1994) The equilibrium path determination in nonlinear analysis of structures. In: Advances in Non-linear Finite Element Methods: Proceedings 2nd International Conference on Computational Structures Technology (Edited by M. Papadrakakis and B. H. V. Topping), Civil-Comp Press, Edinburgh, pp. 35-45.
9. V. V. Panasyuk (Ed.) (1988) Mechanics of Fracture and Strength of Materials: Reference book (Edited by V. V. Panasyuk), Vol. 1: The Foundations of Fracture Mechanics (Edited by V. V. Panasyuk, A. E. Andreykiv and V. Z. Parton), Naukova dumka, Kiev.
10. S. A. Yarema and G. S. Ivanitskaya (1986) On the automatic solution of nonlinear finite element equations. Computers Structures 22, 45-57.
11. K. Wieghardt (1907) Über das Spalten und Zerreiben elastischer Körper. Z. Math. Und Phys. 55, 60-103.
12. A. A. Griffith (1925) The theories of rupture. In: Proceedings 1st International Congress Appl. Mech., Delft, 1924, J. Waltman, Delft, pp. 55-63.
13. H. C. Wu (1974) Dual failure criterion for plain concrete. J. Engng Mech. Div. Amer. Soc. Civ. Engng 100, 1167-1181.
14. A. A. Griffith (1920) The phenomenon of rupture and flow in solids. Phil. Trans. Roy. Soc. Ser. A. 221, 163-198.
15. K. C. Hwang, D. H. Hua and I. W. Yu (1981) On the maximum-energy-release-rate criterion for fracture under combined loads. In: Advances in Fracture Research (Edited by D. Fracois), Pergamon Press, Oxford, pp. 123-130.
16. G. C. Sih (1974) Strain-energy-density factor applied to mixed mode crack problems. Int. J. Fracture 10, 305-322.
17. B.-Y. Yu (1982) Fracture criterion of deviator stress tensor factor. Engng Fracture Mech. 16, 143.
18. P. S. Theocaris and N. P. Andrianopoulos (1982) A modified strain energy density criterion applied to crack propagation. Trans. ASME Ser. E. 49, 81-86.
19. B.-Y. Yu (1982) A discussion on the mixed mode J-integral fracture criterion. Engng Fracture Mech. 16, 156.
20. J. Tirosh (1977) Incipient fracture angle, fracture loci and critical stress for mixed mode loading. Engng Fracture Mech. 9, 607-616.
21. D.-C. Tian, D.-Q. Lu and J.-J. Zhu (1982) Crack propagation under combined stresses in a three-dimensional medium. Engng Fracture Mech. 16, 5-17.
22. A. J. Markworth and J. P. Hirth (1981) An atomistic model of crack extension by kink propagation. J. Mater. Sci. 16, 3405-3417.
23. V. I. Vladimirov, D. N. Carpinskiy and A. N. Orlov (1975) The theory of crack growth in material with large inhomogeneities. Phys. Metals Sci. Metals 39, 952-959.
24. V. M. Kornev (1996) Integral criteria for the brittle strength of cracked bodies with defects of atomic structure. In: Proceedings IX Conference on Strength and Plasticity 1, Moscow University, Moscow, pp. 99-104.