Boundary element analysis in thermoelasticity with and without internal cells

International Journal for Numerical Methods in Engineering

Volumn 57, Issue 7, 2003, Pages 975-990

  Gao, Xiao Wei ^a  

^a ZONA TECHNOLOGY INC   (United States)

Author keywords

Boundary element method; Cell integration; Domain integral; Radial integration method; Thermoelasticity

Indexed keywords

INTEGRAL EQUATIONS; PROBLEM SOLVING; THERMOELASTICITY;

SINGULAR DOMAIN INTEGRAL;

BOUNDARY ELEMENT METHOD;

THERMOELASTICITY;

EID: 0038604022     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.715     Document Type: Article

References (31)

1. Rizzo FJ, Shippy DJ. An advanced boundary integral equation method for three-dimensional thermoelasticity. International Journal for Numerical Methods in Engineering 1977; 11:1753-1768.
2. Danson DJ. A boundary element formulation for problems in linear isotropic elasticity with body forces. In Boundary Element Methods, Brebbia CA (ed.). Springer, Berlin, 1981; 105-122.
3. Henry Jr DP, Banerjee PK. A new boundary element formulation for two- and three-dimensional thermoelasticity using particular integrals. International Journal for Numerical Methods in Engineering 1988; 26:2061-77.
4. Deb A, Henry Jr DP, Wilson RB. Alternative BEM formulations for 2- and 3-D anisotropic thermoelasticity. International Journal of Solids and Structures 1991; 27:1721-38.
5. Karami G, Kuhn G. Implementation of thermoelastic forces in boundary element analysis of elastic contact and fracture mechanics problems. Engineering Analysis with Boundary Elements 1992; 10:313-22.
6. Chandra A. Mukherjee S. Boundary Element Methods in Manufacturing. Oxford University Press: New York, 1997.
7. Shiah YC, Tan CL. Exact boundary integral transformation of the thermoelastic domain integral in BEM for general 2D anisotropic elasticity. Computational Mechanics 1999; 23:87-96.
8. Cheng AHD, Chen CS, Golberg MA, Rashed YF. BEM for thermoelasticity and elasticity with body force-a revisit. Engineering Analysis with Boundary Elements 2001; 25:377-387.
9. Kane JH. Boundary Element Analysis in Engineering Continuum Mechanics. Prentice-Hall: Englewood Cliffs, NJ, 1994.
10. Neves AC, Brebbia CA. The multiple reciprocity boundary element method in elasticity: a new approach for transforming domain integral to the boundary. International Journal for Numerical Methods in Engineering 1991; 31:709-727.
11. Becker AA. The Boundary Element Method in Engineering. McGraw-Hill: London, 1992.
12. Cruse TA. Boundary integral equation method for three-dimensional clastic fracture mechanics, AFOSR-TR-75-0813, ADA 011660, Pratt and Whitney Aircraft Connecticut, 1975.
13. Tan CL. Boundary integral equation stress analysis of a rotating disc with a corner crack. Journal of Strain Analysis 1983; 18:231-237.
14. Henry DP, Pape DA, Banerjee PK. New axisymmetric BEM formulation for body forces using particular integrals. Journal of the Engineering Mechanics Division (ASCE) 1987; 113:671-688.
15. Banerjee PK, Wilson RB, Miller N. Advanced elastic and inelastic three-dimensional analysis of gas turbine engine structures by BEM. International Journal for Numerical Methods in Engineering 1988; 26:393-411.
16. Nardini D, Brebbia CA. A new approach for free vibration analysis using boundary elements. In Boundary Element Methods in Engineering, Brebbia CA (ed.). Springer: Berlin, 1982; 312-26.
17. Partridge PW, Brebbia CA, Wrobel LC. The Dual Reciprocity Boundary Element Method. Computational Mechanics Publications: Southampton, 1992.
18. Golberg MA, Chen CS, Bowman H. Some recent results and proposals for the use of radial basis functions in the BEM. Engineering Analysis with Boundary Elements 1999; 23:285-296.
19. Cheng AHD, Young DL, Tsai CC. Solution of Poisson's equation by iterative DRBEM using compactly supported, positive definite radial basis function. Engineering Analysis with Boundary Elements 2000; 24: 549-557.
20. Power H, Mingo R. The DRM subdomain decomposition approach to solve the two-dimensional Navier-Stokes system of equations. Engineering Analysis with Boundary Elements 2000; 24:107-119.
21. Nowak AJ, Brebbia CA. The multiple-reciprocity method. A new approach for transforming BEM domain integrals to the boundary. Engineering Analysis with Boundary Elements 1989; 6:164-168.
22. Ochiai Y, Nisitani H, Sekiya T. Stress analysis with arbitrary body force by boundary element method. Engineering Analysis with Boundary Elements 1996; 17:295-302.
23. Wen PH, Aliabadi MH, Rooke DP. A new method for transformation of domain integrals to boundary integrals in boundary element method. Communications in Numerical Methods in Engineering 1998; 14:1055-1065.
24. Gao XW. Boundary-only integral equations in boundary element analysis. In Advances in Boundary Element Techniques II, Denda M, Aliabadi MH, Charafi A (eds). Hoggar Press: Geneva, 2001; pp. 39-46.
25. Gao XW. The radial integration method for evaluation of domain integrals with boundary-only discretization. Engineering Analysis with Boundary Elements 2002; 26:905-916.
26. Gao XW. A boundary element method without internal cells for two-dimensional and three-dimensional elastoplastic problems. Journal of Applied Mechanics (ASME) 2002; 69:154-160.
27. Gao XW, Davies TG. Boundary Element Programming in Mechanics. Cambridge University Press: Cambridge, 2002.
28. Gao XW, Davies TG. An effective boundary element algorithm for 2D and 3D elastroplastic problems. International Journal of Solids and Structures 2000; 37:4987-5008.
29. Gao XW, Davies TG. Accurate evaluations of stongly singular domain integrals in non-linear BEM. In Boundary Elements XX, Brebbia CA et al. (eds). Computational Mechanics Publication: Southampton, U.K., 1998; pp. 85-94.
30. Gaul L, Moser F. Non-singular symmetric boundary element formulation for elastodynamics. Engineering Analysis with Boundary Elements 2001; 25:843-849.
31. Davi G, Milazzo A. A new symmetric and positive definite boundary element formulation for lateral vibrations of plates. Journal of Sound and Vibration 1997; 206:507-521.