The traction boundary contour method for linear elasticity

International Journal for Numerical Methods in Engineering

Volumn 46, Issue 11, 1999, Pages 1883-1895

  Zhou, Shenjie ^a   Cao, Zhiyuan ^b   Sun, Shuxun ^a  

^a SHANDONG UNIVERSITY OF TECHNOLOGY   (China)

^b TONGJI UNIVERSITY   (China)

Author keywords

Boundary contour method; Boundary element method; Elasticity; Traction boundary contour method

Indexed keywords

ELASTICITY; INTEGRAL EQUATIONS; MATHEMATICAL MODELS;

BOUNDARY CONTOUR METHOD;

BOUNDARY ELEMENT METHOD;

EID: 0033311879     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0207(19991220)46:11<1883::aid-nme749>3.0.co;2-e     Document Type: Article

References (20)

1. Tanaka M, Sladek V, Sladek J. Regularization techniques applied to boundary element methods. Applied Mechanics Reviews 1994; 47(10):457-499.
2. Toh KC, Mukherjee S. Hypersingular and finite part integrals in the boundary element method. International Journal of Solids and Structures 1994; 31(17):2299-2312.
3. Sladek V, Sladek J, Tanaka M. Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity. International Journal for Numerical Methods in Engineering 1993; 36:1609-1628.
4. Guiggiani M, Krishnasamy G, Rudolphi TJ, Rizzo J. A general algorithm for the numerical solution of boundary integral equation. ASME Journal of Applied Mechanics 1992; 59:604-614.
5. Guiggiani M, Casalini P. Direct computation of Cauchy principal value integrals in advanced boundary elements. International Journal for Numerical Methods in Engineering 1987; 24:1711-1720.
6. Nagarajan A, Lutz ED, Mukherjee S. A novel boundary element method for linear elasticity with no numerical integration for 2-D and line integrals for 3-D problems. ASME Journal of Applied Mechanics 1994; 61:264-269.
7. Nagarajan A, Mukherjee S, Lutz ED. The boundary contour method for three-dimensional linear elasticity. ASME Journal of Applied Mechanics 1996; 63:278-286.
8. Phan AV, Mukherjee S, Mayer JRR. The boundary contour method for two-dimensional linear elasticity with quadratic boundary elements. Computational Mechanics 1997; 20:310-319.
9. Mukherjee YX, Mukherjee S, Shi X. The boundary contour method for three-dimensional linear elasticity with a new quadratic boundary element. Engineering Analysis Boundary Elements 1997; 20:35-44.
10. Hu Haichang, Deng Haojiang, Wang Wenjun. The equivalent boundary integral equation for two-dimensional problems in elasticity. Science in China (Series A) 1997; 40(1):76-82.
11. Chen G, Zhou J. Boundary Element Methods. Academic Press, London, 1992.
12. Zhou SJ, Sun XS, Cao ZY. The boundary contour method based on the equivalent boundary integral equation for two-dimensional linear elasticity. Communications in Numerical Methods in Engineering, to be published.
13. Hong H, Chen J. Derivations of integral equation of elasticity. Journal of Engineering Mechanics 1998; 114(6):1028-1044.
14. Portela A, Aliabadi MH, Roobe DP. The dual boundary element method: effective implementation for crack problems. International Journal for Numerical Methods in Engineering 1992; 33:1269-1287.
15. Mi Y, Aliabadi MH. Dual boundary element methods for three-dimensional fracture mechanics analysis. Engineering Analysis Boundary Elements 1992; 10:161-171.
16. Aliabadi MA, Brebbia CA. Advances in Boundary Element Methods of Fracture Mechanics. Elsevier Applied Science: London, New York, 1993.
17. Huang Q, Cruse TA. On the non-singular traction-BIE in elasticity. International Journal for Numerical Methods in Engineering 1994; 37:2041-2072.
18. Cruse TA, Richardson JD. Non-singular Somigliana stress identities in elasticity. International Journal for Numerical Methods in Engineering 1996; 39:3273-3304.
19. Fiedler C. On the calculation of boundary stresses with the Somigliana stress identity. International Journal for Numerical Methods in Engineering 1995; 38:3275-3295.
20. Young A. Improved numerical method for the traction boundary integral equation by application of Stokes' theorem. International Journal for Numerical Methods in Engineering 1997; 40:3141-3161.