Exact integration for stress evaluation in the boundary element analysis of two-dimensional elastostatics

Engineering Analysis with Boundary Elements

Volumn 28, Issue 9, 2004, Pages 997-1004

  Zhang, Xiaosong ^a   Zhang, Xiaoxian ^b  

^a SHIJIAZHUANG TIEDAO UNIVERSITY   (China)

^b UNIVERSITY OF ABERTAY DUNDEE   (United Kingdom)

Author keywords

Discontinuous boundary elements; Exact integration; Nearly singular integral; Stress evaluation

Indexed keywords

COMPUTER SIMULATION; DISCRETE TIME CONTROL SYSTEMS; ELASTICITY; HEAT CONDUCTION; INTEGRATION; MATHEMATICAL MODELS; STRESSES;

DISCONTINUOUS BOUNDARY ELEMENTS; EXACT INTEGRATION; NEARLY-SINGULAR INTEGRAL; STRESS EVALUATION;

BOUNDARY ELEMENT METHOD;

EID: 3142749250     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2004.03.003     Document Type: Article

References (17)

1. Brebbia C.A., Dominguez J. Boundary elements: an introductory course. 1989;Computational Mechanics Publications, Southampton.
2. Chien C.C., You Z.Y., Chung Y.L. Internal stress calculation using an iterative subdivision scheme in the boundary element method. Eng Anal Bound Elem. 20:1997;145-153.
3. Singh K.M., Tanaka M. On non-linear transformation for accurate numerical evaluation of weakly singular boundary integrals. Int J Numer Meth Eng. 50:2001;2007-2030.
4. Telles J.C.F. A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary integrals. Int J Numer Meth Eng. 24:1987;959-973.
5. Liu Y.J. Analysis of shell-like structures by boundary element method based on 3-D elasticity: formulation and verification. Int J Numer Meth Eng. 41:1998;541-558.
6. Luo J.F., Liu Y.J., Berger E.J. Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method. Comput Mech. 22:1998;404-412.
7. Chen X.L., Liu Y.J. Thermal stress analysis of Multi-layer thin film and coatings by an advanced boundary element method. Comput Model Eng Sci. 2:2001;337-349.
8. Fratantonio M., Rencis J.J. Exact boundary element integrations for two-dimensional Laplace equation. Eng Anal Bound Elem. 24:2000;325-342.
9. Yoon S.S., Heister S.D. Analytic solution for fluxes at interior points for 2D Laplace equation. Eng Anal Bound Elem. 24:2000;155-160.
10. Friedrich F. A linear analytical boundary element method for 2D homogeneous potential problems. Comput Geosci. 28:2002;679-692.
11. Mera N.S., Elliott L., Ingham D.B., Lesnic D. A comparison of boundary element method formulations for anisotropic heat conduction problems. Eng Anal Bound Elem. 25:2001;115-128.
12. Zhang X., Zhang X. Exact integration in the boundary element method for two-dimensional elastostic problems. Eng Anal Bound Elem. 27:2003;987-997.
13. Padhi G.S., Shenoi R.A., Moy S.S.J., McCarthy M.A. Analytic integration of kernel shape function product integrals in boundary element method. Comput Struct. 79:2001;1325-1333.
14. Ghosh N., Rajiyah H., Ghosh S., Mukherjee S. A new boundary element formulation for linear elasticity. ASME J Appl Mech. 53:1986;69-76.
15. Guiggiani M. Hypersingular boundary integral equations have an additional term. Comput Mech. 16:1995;245-248.
16. Lu Y.Y., Belytschko T., Liu W.K. A variationally coupled FE-BE method for elasticity and fracture mechanics. Comput Meth Appl Mech Engng. 85:1991;21-37.
17. Timoshenko S.P., Goodier J.N. Theory of elasticity. 3rd ed. 1987;McGraw-Hill, New York.