The boundary contour method for two-dimensional linear elasticity with quadratic boundary elements

Computational Mechanics

Volumn 20, Issue 4, 1997, Pages 310-319

  Phan, A V ^a   Mukherjee, S ^b   Mayer, J R R ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^b Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001600671     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050253     Document Type: Article

References (14)

1. Chien, C. C.; Rajiyah, H.; Atluri, S. N. (1991): On the evaluation of hyper-singular integrals arising in the boundary element method for linear elasticity. Comp. Mech. 8: 57-70
2. Cruse, T. A.; Richardson, J. D. (1996): Non-singular Somigliana stress identities in elasticity. Int. J. Num. Meth. Eng. 39: 3273-3304
3. Guiggiani, M.; Krishnasamy, G.; Rudolphi, T. J.; Rizzo, F. J. (1992): A general algorithm for the numerical solution of the hypersingular boundary integral equations. J. Appl. Mech. 59: 604-614
4. Hall, W. S. (1994): The Boundary Element Method. Kluwer Academic Publishers, Dordrecht, The Netherlands
5. Kaplan, W. (1984): Advanced Calculus. Addison-Wesley
6. Martin, P. A.; Rizzo, F. J. (1996): Hypersingular integrals: how smooth must the density be? Int. J. Num. Meth. Eng. 39: 687-704
7. Mukherjee, S. (1982): Boundary Element Methods in Creep and Fracture. Elsevier Applied Science, London, UK
8. Mukherjee, Y. X. (1995): Optimal shape design by the boundary contour method. National Science Foundation Phase I Final Report, Dehan Engineering Numerics, Ithaca, New York, USA
9. Nagarajan, A.; Lutz, E. D.; Mukherjee, S. (1994): A novel boundary element method for linear elasticity with no numerical integration for two-dimensional and line integrals for three-dimensional problems. J. Appl. Mech. 61: 264-269
10. Nagarajan, A.; Lutz, E. D.; Mukherjee, S. (1996): The boundary contour method for three-dimensional linear elasticity. J. Appl. Mech. 63: 278-286
11. Nagarajan, A. (1994): A novel boundary element method for linear elasticity. Ph.D. dissertation, Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York, USA
12. Rizzo, F. J. (1967): An integral equation approach to boundary value problems of classical elastostatics. Quart. Appl. Math. 25: 83-95
13. Timoshenko, S. P.; Goodier, J. N. (1970): Theory of Elasticity. McGraw-Hill, New York, USA
14. Toh, K. C.; Mukherjee, S. (1994): Hypersingular and finite part integrals in the boundary element method. Int. J. Solids Struct. 31: 2299-2312