Hamiltonian principle based stress singularity analysis near crack corners of multi-material junctions

International Journal of Solids and Structures

Volumn 40, Issue 2, 2003, Pages 493-510

  Zhang, H W ^a   Zhong, W X ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Crack; Eigenvalues; Stress

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELASTIC MODULI; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PROBLEM SOLVING; STRESS ANALYSIS;

ISOTROPIC ELASTIC MATERIALS;

CRACK PROPAGATION;

CRACK;

EID: 0037248833     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(02)00585-1     Document Type: Article

References (25)

1. Achenbach, J.D., Keer, L.M., Khetan, R.D., Chen, S.H., 1979. Loss of adhension at the tip of an interface crack. J. Elasticity 19, 397-398.
2. Bogy, B.D., Wang, K.C., 1971. Stress singularities at interface corners in bonded dissimilar isotropic elastic materials. Int. J. Solids Struct. 17, 993-1005.
3. Chen, D.H., Nisitani, H., 1993. Singular stress field near the corner of jointed dissimilar materials. J. Appl. Mech. 60, 607-613.
4. Comninou, M., 1977. The interface crack. J. Appl. Mech. 44, 631-636.
5. Comninou, M., 1978. The interface crack in a shear .eld. J. Appl. Mech. 45, 287-290.
6. England, A.H., 1965. A crack between dissimilar media. J. Appl. Mech. 32, 400-402.
7. Erdogan, F., 1963. Stress distribution in a nonhomogeneous elastic plane with cracks. J. Appl. Mech. 85, 232-237.
8. Erdogan, F., Biricikoglu, V., 1973. Two bonded half planes with a crack going through the interface. Int. J. Engng. 11, 985-996.
9. Iancu, O.T., Munz, D., 1990. A fracture mechanical treatment of free edge stress singularities applied to a brazed ceramical compound. Int. J. Fract. 46, 159-172.
10. Lu, M.C., Erdogan, F., 1983. Stress intensity factors in two bonded elastic layers containing cracks perpendicular to and on the interface I analysis. Engng. Fract. Mech. 18, 491-506.
11. Knowles, J.K., Sternberg, 1983. Large deformations near a tip of an interface crack between two Neo Hookean sheets. J. Elasticity 13, 257-293.
12. Rice, J.R., Sih, G.C., 1965. Plane problems of cracks in dissimilar media. J. Appl. Mech. 32, 418-423.
13. Sih, G.C., Rice, J.R., 1964. The bending of plates of dissimilar materials with cracks. J. Appl. Mech. 31, 477-482.
14. Steele, C.R., Kim, Y.Y., 1992. Modi.ed mixed variational principle and the state-vector equation for elastic bodies and shells of revolution. J. Theory Appl. Mech. 59, 587-595.
15. Stephane, S., Paul, F., Sherrill, B., 1994. The order of stress singularities for bonded and disbonded three material junctions. Int. J. Solids Struct. 31, 2979-2997.
16. Theocaries, P.S., 1974. The order of singularity at a multi-wedge corner of a composite plate. Int. J. Engng. Sci. 12, 107-120.
17. Wang, S.S., Choi, I., 1982. Boundary layer e.ects in composite materials, Part I: Free edge singularity. J. Appl. Mech. 49, 541-548.
18. Wang, S.S., Choi, I., 1983. The interface crack behavior in dissimilar anisotropic composites under mixed mode loading. J. Appl. Mech. 50, 179-183.
19. Williams, M.L., 1952. Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J. Appl. Mech. 74, 526-528.
20. Williams, M.L., 1959. The stress around a fault or crack in dissimilar media. Bull. Seismol. Soc. Am. 49, 199-204.
21. Zhang, H.W., Li, Y.P., Zhong, W.X., 1995. Stress singularities near corner of wedged dissimilar materials. J. Dalian Univ. Technol. 35, 776-782.
22. Zhong, W.X., Yang, Z.S., 1992. In: Cheng, F.Y., Zizhi, F. (Eds.), Partial differential equations and Hamiltonian system. Computational Mechanics in Structural Engineering. Elsevier, pp. 32-48.
23. Zhong, W.X., Zhang, H.W., 1995. Analytical formulas on plane crack element. Chinese J. Mech. Strength 17, 1-6.
24. Zhong, W.X., Zhong, X.X., 1990. Computational structural mechanics optimal control and semi-analytical method for PDE. Comput. Struct. 37, 993-1004.
25. Zhong, W.X., Zhong, X.X., 1992. Elliptic partial differential equation and optimal control. Numer. Meth. Partial Differen. Eqs. 8, 149-169.