Thermal stress analysis of multi-layer thin films and coatings by an advanced boundary element method

CMES - Computer Modeling in Engineering and Sciences

Volumn 2, Issue 3, 2001, Pages 337-349

  Chen, Xiaolin ^b   Liu, Yijun ^a  

^a University of Cincinnati   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008796279     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (39)

1. Abedian, A., W. Szyszkowski and S. Yannacopoulos (1999). "Effects of surface geometry of composites on thermal stress distribution: a numerical study." Composites Science and Technology 59(1): 41-54.
2. Banerjee, P. K. (1994). The Boundary Element Methods in Engineering. New York, McGraw-Hill.
3. Brebbia, C. A. and J. Dominguez (1989). Boundary Elements - An Introductory Course. New York, McGraw-Hill.
4. Chen, S. H. and Y. J. Liu (1999). "A unified boundary element method for the analysis of sound and shell-like structure interactions. I. Formulation and verification." Journal of the Acoustical Society America 103(3): 1247-1254.
5. Chen, S. H., Y. J. Liu and X. Y. Dou (2000). "A unified boundary element method for the analysis of sound and shell-like structure interactions. II. Efficient solution techniques." Journal of the Acoustical Society America 108(6): 2738-2745.
6. Chen, X. L. and Y. J. Liu (2001). "Multiple-cell modeling of fiber-reinforced composites with the presence of interphases using the boundary element method." Computational Materials Science 21(1): 86-94.
7. Cheng, W. H., Y. D. Yang, T. C. Liang, G. L. Wang, et al. (1999). "Thermal stresses in box-type laser packages." Optical and Quantum Electronics 31(4): 293-302.
8. Cruse, T. A. (1974). "An improved boundary-integral equation method for three dimensional elastic stress analysis." Computers & Structures 4: 741-754.
9. Cruse, T. A. (1988). Boundary Element Analysis in Computational Fracture Mechanics. Dordrecht, The Netherlands, Kluwer Academic Publishers.
10. Cruse, T. A. and R. Aithal (1993). "Non-singular boundary integral equation implementation." International Journal for Numerical Methods in Engineering 36: 237-254.
11. Freund, R. W. and N. M. Nachtigal (1996). "QMR-PACK: a package of QMR algorithms." ACM Transactions on Mathematical Software 22(March): 46-77.
12. Fu, Y., K. J. Klimkowski, G. J. Rodin, E. Berger, et al. (1998). "A fast solution method for three-dimensional many-particle problems of linear elasticity." International Journal for Numerical Methods in Engineering 42: 1215-1229.
13. Gomez, J. E. and H. Power (1997). "A multipole direct and indirect BEM for 2D cavity flow at low Reynolds number." Engineering Analysis with Boundary Elements 19: 17-31.
14. Gray, L. J., D. Maroudas and M. N. Enmark (1998). "Galerkin boundary integral method for evaluating surface derivatives." Computational Mechanics 22(2): 187-193.
15. Gray, L. J., D. Maroudas, M. N. Enmark and E. F. D'Azevedo (1999). "Approximate Green's functions in boundary integral analysis." Engineering Analysis with Boundary Elements 23(3): 267-274.
16. Hu, S. Y., Y. L. Li, D. Munz and Y. Y. Yang (1998). "Thermal stresses in coated structures." Surface & Coatings Technology 99(1-2): 125-131.
17. Huang, Q. and T. A. Cruse (1993). "Some notes on singular integral techniques in boundary element analysis." International Journal for Numerical Methods in Engineering 36: 2643-2659.
18. Igic, P. M. and P. A. Mawby (1998). "Finite element modelling of the thermal stress field during processing of VLSI multilevel structures." Electronics Letters 34(5): 471-472.
19. Igic, P. M. and P. A. Mawby (1999). "An advanced finite element strategy for thermal stress field investigation in aluminum interconnections during processing of very large scale integration multilevel structures." Microelectronics Journal 30(12): 1207-1212.
20. Kane, J. H. (1994). Boundary Element Analysis in Engineering Continuum Mechanics. Englewood Cliffs, NJ, Prentice Hall.
21. Katsikadelis, J.T. and M.S. Nerantzaki (2000). "A boundary-only solution to dynamic analysis of non-homogeneous elastic membranes" CMES: Computer Modeling in Engineering & Sciences, 1(3): 1-10.
22. Krishnasamy, G., F. J. Rizzo and Y. J. Liu (1994). "Boundary integral equations for thin bodies." International Journal for Numerical Methods in Engineering 37: 107-121.
23. Liu, X. H., Z. G. Suo and Q. Ma (1999). "Split singularities: Stress field near the edge of a silicon die on a polymer substrate." Acta Materialia 47(1): 67-76.
24. Liu, Y. J. (1998). "Analysis of shell-like structures by the boundary element method based on 3-D elasticity: formulation and verification." International Journal for Numerical Methods in Engineering 41: 541-558.
25. Liu, Y. J. (2000). "On the simple-solution method and non-singular nature of the BIE/BEM - A review and some new results." Engineering Analysis with Boundary Elements 24(10): 787-793.
26. Liu, Y. J. and T. J. Rudolphi (1991). "Some identities for fundamental solutions and their applications to weakly-singular boundary element formulations." Engineering Analysis with Boundary Elements 8(6): 301-311.
27. Liu, Y. J. and N. Xu (2000). "Modeling of interface cracks in fiber-reinforced composites with the presence of interphases using the boundary element method." Mechanics of Materials 32(12): 769-783.
28. Liu, Y. J., N. Xu and J. F. Luo (2000). "Modeling of interphases in fiber-reinforced composites under transverse loading using the boundary element method." Journal of Applied Mechanics 67(1 (March)): 41-49.
29. Liu, Y. J., D. M. Zhang and F. J. Rizzo (1993). "Nearly singular and hypersingular integrals in the boundary element method." Boundary Elements XV, C. A. Brebbia and J. J. Rencis, Eds., Worcester, MA, Computational Mechanics Publications.
30. Luo, J. F., Y. J. Liu and E. J. Berger (1998). "Analysis of two-dimensional thin structures (from micro-to nano-scales) using the boundary element method." Computational Mechanics 22: 404-412.
31. Luo, J. F., Y. J. Liu and E. J. Berger (2000). "Interfacial stress analysis for multi-coating systems using an advanced boundary element method." Computational Mechanics 24(6): 448-455.
32. Mammoli, A. A. and M. S. Ingber (1999). "Stokes flow around cylinders in a bounded two-dimensional domain using multipole-accelerated boundary element methods." International Journal for Numerical Methods in Engineering 44: 897-917.
33. Mukherjee, S. (1982). Boundary Element Methods in Creep and Fracture. New York, Applied Science Publishers.
34. Mukherjee, S., M. K. Chati and X. L. Shi (2000). "Evaluation of nearly singular integrals in boundary element contour and node methods for three-dimensional linear elasticity." International Journal of Solids and Structures 37(51): 7633-7654.
35. Nikiskov, G.P., J.H. Park, and S.N. Atluri (2001). "SGBEM-FEM alternating method for analyzing 3D non-planar cracks and their growth in structural components" CMES: Computer Modeling in Engineering & Sciences, 2(3): In Print.
36. Nishimura, N., K.-i. Yoshida and S. Kobayashi (1999). "A fast multipole boundary integral equation method for crack problems in 3D." Engineering Analysis with Boundary Elements 23: 97-105.
37. Peirce, A. P. and J. A. L. Napier (1995). "A spectral multipole method for efficient solution of large-scale boundary element models in elastostatics." International Journal for Numerical Methods in Engineering 38: 4009-4034.
38. Rizzo, F. J. (1967). "An integral equation approach to boundary value problems of classical elastostatics." Quart. Appl. Math. 25: 83-95.
39. Rizzo, F. J. and D. J. Shippy (1977). "An advanced boundary integral equation method for three-dimensional thermoelasticity." International Journal for Numerical Methods in Engineering 11: 1753-1768.