Mixed mode BEM analysis of multiple curvilinear cracks in the general anisotropic solids by the crack tip singular element

International Journal of Solids and Structures

Volumn 41, Issue 5-6, 2004, Pages 1473-1489

  Denda, M ^a   Marante, M E ^b,c  

^a RUTGERS UNIVERSITY   (United States)

^b UNIVERSIDAD CENTROCCIDENTAL LISANDRO ALVARADO   (Venezuela)

^c UNIVERSIDAD DE LOS ANDES   (Venezuela)

Author keywords

Boundary element method; Generalized plane strain anisotropic elasticity; Mixed mode multiple crack analysis; Singular crack tip element

Indexed keywords

ANISOTROPY; INTERPOLATION; POLYNOMIALS; STRESS ANALYSIS; TRACTION (FRICTION);

CRACK OPENING DISPLACEMENT (COD); STRESS INTENSITY FACTORS (SIF);

CRACKS;

ANISOTROPIC MEDIUM; CRACK; FRACTURE MECHANICS;

EID: 0742287815     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.11.005     Document Type: Article

References (18)

1. Altiero N.J. Gavazza S.D. On a unified boundary-integral equation method J. Elast. 10 1 1980 1-9
2. Ang W.T. Clements D.L. A boundary element method for determining the effect of holes on the stress distribution around a crack Int. J. Numer. Methods Eng. 23 1986 1727-1737
3. Berger J.R. Tewary V.K. Boundary integral equation formulation for interface cracks in anisotropic materials Int. J. Numer. Methods Eng. 20 1997 261-266
4. Bowie O.L. Rectangular tensile sheet with symmetric edge cracks J. Appl. Mech. 31 2 1964 208-212
5. Chen F.H.K. Shield R.T. Conservation laws in elasticity of the J-integral type J. Appl. Math. Phys. (ZAMP) 28 1977 1-22
6. Denda M. A dislocation and point force approach to the boundary element method for mixed mode crack analysis of plane anisotropic solids J. Chinese Inst. Eng. 22 6 1999 677-693
7. Denda M. Mixed mode I, II and III analysis of multiple cracks in plane anisotropic solids by the BEM: A dislocation and point force approach Int. J. Eng. Anal. Bound. Elements 25 4-5 2001 267-278
8. Denda M. Dong Y.F. Complex variable approach to the BEM for multiple crack problems Computational Methods in Applied Mechanics and Engineering 141 3-4 1997 247-264
9. Denda M. Dong Y.F. Analytical formulas for a 2-D crack tip singular boundary element for rectilinear cracks and crack growth analysis Int. J. Eng. Anal. Bound. Elements 23 1999 35-49
10. Denda M. Mattingly E. The singular crack element for2-d boundary element analysis of multiple straight cracks in the general anisotropic solids Electronic J. Boundary Elements 1 3 2003 404-417
11. Eshelby J.D. The elastic field of a crack extending non-uniformly under general anti-plane loading J. Mech. Phys. Solids 17 1969 177-199
12. Eshelby J.D. Read W.T. Shockley W. Anisotropic elasticity with applications to dislocation theory Acta Metall. 1 1953 251-259
13. Lekhnitskii S.G. Theory of Elasticity of an Anisotropic Elastic Body 1963 Hoden-Day San Francisco
14. Murakami Y., et-al. Stress Intensity Factor Handbook 1987 Pergamon Press Oxford
15. Snyder M.D. Cruse T.A. Boundary integral equation analysis of cracked anisotropic plates Int. J. Fract. 11 1975 315-328
16. Sollero P. Aliabadi M.H. Fracture mechanics analysis of anisotropic plates by the boundary element method Int. J. Fract. 64 4 1993 269-284
17. Tan C.L. Gao Y.L. Boundary element analysis of plane anisotropic bodies with stress concentrations and cracks Compos. Struct. 20 1992 17-28
18. Tan C.L. Gao Y.L. Afagh F.F. Boundary element analysis of interface cracks between dissimilar anisotropic materials Int. J. Solids Struct. 29 24 1992 3201-3220