Symmetric Galerkin boundary integral fracture analysis for plane orthotropic elasticity

Computational Mechanics

Volumn 20, Issue 1-2, 1997, Pages 26-33

  Gray, L J ^a   Paulino, G H ^b  

^a OAK RIDGE NATIONAL LABORATORY   (United States)

^b University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003047140     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050212     Document Type: Article

References (32)

1. Blandford, G. E.; Ingraffea, A. R.; Liggett, J. A. (1981): Two-dimensional stress intensity factor computations using the boundary element method. Int. J. Num. Meth. Eng. 17, 387-404
2. Bonnet, M.; Bui, H. D. (1993): Regularization of the displacement and traction BIE for 3D elastodynamics using indirect methods. In: Kane, J. H.; Maier, G.; Tosaka, N.; Atluri, S. N. (eds.): Advances in Boundary Element Techniques, Chapter 1, pp. 1-29. Berlin, Heidelberg: Springer-Verlag
3. Chang, C.; Mear, M. E. (1995): A boundary element method for two dimensional linear elastic fracture analysis. Int. J. Fract. 74, 219-251
4. Crouch, S. L.; Starfield, A. M. (1983): Boundary Element Methods in Solid Mechanics. London: George Allen & Unwin
5. Cruse, T. A. (1988): Boundary Element Analysis in Computational Fracture Mechanics. Dordrecht: Kluwer Academic Publishers
6. Ghandi, K. R. (1972): Analysis of an inclined crack centrally placed in an orthotropic rectangular plate. J. Strain Analysis 7, 157-162
7. Gray L. J. (1991): Evaluation of hypersingular integrals in the boundary element method. Math. Comput. Model. 15 (3-5), 165-174
8. Gray, L. J. (1993): Symbolic computation of hypersingular boundary integrals. In: Kane, J. H.; Maier, G.; Tosaka, N.; Atluri, S.N. (eds.): Advances in Boundary Element Techniques. Chapter 8, pp. 157-172. Berlin, Heidelberg: Springer-Verlag
9. Gray, L. J.; Paulino, G. H. (1997): Crack tip interpolation, revisited. SIAM J. Appl. Math, (in press)
10. Gray, L. J.; Martha, L. F.; Ingraffea, A. R. (1990): Hypersingular integrals in boundary element fracture analysis. Int. J. Num. Meth. Eng. 29, 1135-1158
11. Gray, L. J.; Balakrishna, C.; Kane J. H. (1995): Symmetric Galerkin boundary integral fracture analysis. Eng. Anal. Bound. Elements 15, 103-109
12. Green, A. E. (1943): A note on stress systems in aeolotropic materials. Philosoph. Mag. 34, 416-418
13. Guimaraes. S.; Telles, J. C. F. (1994): On the hyper-singular boundary-element formulation for fracture-mechanics applications. Eng. Anal. Bound, Elements 13 (4), 353-363
14. (1) continuous quadrilateral boundary element to three dimensional elastostatics. In: Cruse, T. A. (ed.): Advanced Boundary Element Methods, volume 16, pp. 135-144. Berlin, Heidelberg: Springer-Verlag
15. Hartmann, F.; Katz, C.; Protopsaltis, B. (1985): Boundary elements and symmetry. Ingenieur-Archive 55 (6), 440-449
16. Hong, H.; Chen, J. (1988): Derivations of integral equations of elasticity. J. Eng. Mech. 114, 1028-1044
17. Krishnasami, G.; Rizzo, F. J.; Rudolphi, T. J. (1992): Hypersingular Boundary integral Equations: Their Occurrence, interpretation, Regularization and Computation. In: Banerjee, P. K.; Kobayashi, S. (eds.): Developments in Boundary Element Methods volume 7, chapter 6, pp. 207-252. London and New York: Elsevier Applied Science
18. Lutz, E. D.; Gray, L. J. (1993): Analytic Evaluation of Singular Boundary Integrals without CPV. Commun. Num. Meth. Eng. 9 (11), 909-915
19. Maier, G.; Polizzotto, C. (1987): A Galerkin approach to boundary element elastoplastic analysis. Comput. Meth. Appl. Mech. Eng. 60, 175-194
20. Martin, P. A.; Rizzo, F. J. (1996): Hypersingular integrals: how smooth must the density be? Int. J. Num. Meth. Eng. 39, 687-704
21. Paulino, G. H. (1995): Novel Formulations of the Boundary Element Method for Fracture Mechanics and Error Estimation. Ph.D. dissertation, Cornell University, Ithaca, New York, USA
22. Paulino, G. H.; Saif, M. T. A.; Mukherjee, S. (1993): A finite elastic body with a curved crack loaded in anti-plane shear. Int. J. Solids Struct. 30 (8), 1015-1037
23. Rizzo, F. J.; Shippy, D. J. (1970): A method for stress determination in plane anisotropic elastic bodies. J. Comp. Mat. 4, 36-61
24. Rizzo, F. J.; Shippy, D. J.; Rezayat, M. (1985): A boundary integral equation method for radiation and scattering of elastic waves in three dimensions. Int. J. Num. Meth. Eng. 21, 115-129
25. Rudolphi, T. J. (1990): Higher order elements and element enhancement by combined regular and hypersingular boundary integral equations. In: Annigeri, B. S.; Tseng, K. (eds.): Boundary Element Methods in Engineering, pp. 448-455, Berlin, Heidelberg: Springer-Verlag
26. Sáez, A.; Gallego, R.; Dominguez, J. (1995): Hypersingular quarter-point boundary elements for crack problems. Int. J. Num. Meth. Eng. 38 (10), 1681-1701
27. Selcuk, S.; Hurd, D. S.; Crouch, S. L.; Gerberich, W. W. (1994): Prediction of interfacial crack path: a direct boundary integral approach and experimental study. Int. J. Fract. 67 (1), 1-20
28. Sirtori, S.; Maier, G.; Novati, G.; Miccoli, S. (1992): A Galerkin symmetric boundary-element method in elasticity: formulation and implementation. Int. J. Num. Meth. Eng. 35, 255-282
29. Tan, C. L.; Gao, V. L. (1992): Boundary integral equation fracture mechanics analysis of plane orthotropic bodies. Int. J. Fract. 53, 343-365
30. Walters, H. G.; Ortiz, J. C.; Gipson, G. S.; Brewer III, J. A. (1988): Overhauser boundary elements in potential theory and linear elastostatics. In: Cruse, T. A. (ed.): Advanced Boundary Element Methods, volume 16, pp. 459-464. Berlin, Heidelberg: Springer-Verlag
31. Watson, J. O. (1986): Hermitian cubic and singular elements for plane strain. In: Banerjee, P. K.; Watson, J. O. (eds): Developments in Boundary Element Methods, volume 4, chapter 1, pp. 1-28. London ana New York; Elsevier Applied Science
32. Wawrzynek, P. A. (1991): Discrete Modeling of Crack Propagation: Theoretical Aspects and Implementation Issues in Two and Three Dimensions. Ph.D. dissertation, Cornell University, Ithaca, New York, USA