Elasto-plastic analysis of two-dimensional orthotropic bodies with the Boundary Element Method

Computers, Materials and Continua

Volumn 1, Issue 1, 2004, Pages 91-105

  Sun, X S ^a   Huang, L X ^a   Liu, Y H ^a   Cen, Z Z ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

2 D Orthotropic Body; Boundary Element Method (BEM); Elasto plastic Analysis; Orthotropic Yield Criterion; Singular Integrals

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; FUNCTIONS; INTEGRAL EQUATIONS; ITERATIVE METHODS; STRESSES;

2D-ORTHOTROPIC BODIES; ELASTO-PLASTIC ANALYSIS; ORTHOTROPIC YIELD CRITERION; SINGULAR INTEGRALS;

ELASTOPLASTICITY;

EID: 21144455000     PISSN: 15462218     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (41)

1. Aliabadi, M. H. (2002): The Boundary Element Method - Volume 2: Applications in Solids and Structures, John Wiley & Sons, Chichester.
2. Atluri, S. N.; Han, Z. D.; Shen, S. (2003): Meshless local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations. CMES: Computer Modeling in Engineering & Sciences, vol. 4, No. 5, pp. 507-517.
3. Banerjee, P. K.; Cathie, D. N.; Davies, T. G. (1979): Two and three dimensional problems of elasto-plasticity. In: P. K. Banerjee; R. Butterfield (eds) Developments in Boundary Element Methods-1. Elsevier, London, pp. 65-95.
4. Banerjee, P. K.; Henry, D. P.; Raveendra, S. T. (1989): Advanced inelastic analysis of solids by the boundary element method. International Journal of Mechanical Sciences, vol. 31, pp. 309-322.
5. Bonnet, M.; Mukherjee, S. (1996): Implicit BEM formulations for usual and sensitivity problems in elasto-plasticity using the consistent tangent operator concept. International Journal of Solids and Structures, vol. 33, pp. 4461-4480.
6. Brebbia, C. A.; Telles, J. C. F.; Wrobel, L. C. (1984): Boundary Element Techniques: Theory and Applications in Engineering, Springer-Verlag, New York.
7. Bui, H. D. (1978): Some remarks about the formulation of three-dimensional thermoelastoplastic problems by integral equations. International Journal of Solids and Structures, vol. 14, No. 11, pp. 935-939.
8. Carrer, J. A. M.; Telles, J. C. F. (1992): A boundary element formulation to solve transient dynamic elasto-plastic problems. Computers and Structures, vol. 45, pp. 707-713.
9. Cen, Z. Z. (1984): Three-dimensional Elasto-plastic Analysis with Coupling Method of the FEM and the BEM, Ph.D. dissertation, Department of Engineering Mechanics, Tsinghua University.
10. Chopra, M. B.; Dargush, G. F. (1994): Development of BEM for thermoplasticity. International Journal of Solids and Structures, vol. 31, pp. 1635-1656.
11. Dong, C. Y. (1992): Some Basic Aspects on the Boundary Element Methods in Elastoplasticity and Their Applications on Contact Problems, Ph.D. dissertation, Department of Engineering Mechanics, Tsinghua University.
12. Dong, C. Y.; Lo, S. H.; Cheung, Y. K. (2002): Application of the boundary-domain integral equation in elastic inclusion problems. Engineering Analysis with Boundary Elements, vol. 26, No. 6, pp. 471-477.
13. Du, Q. H.; Cen, Z. Z.; et al. (1989): The Boundary Integral Equation Method - Boundary Element Method, Higher Education Press, Beijing
14. Green, E. (1943): A note on stress systems in aeolotropic materials. Philosophical Magazine, vol. 34, pp. 416-418.
15. Guiggiani, M.; Krishnasamy, G.; Rudolphi, T. J.; Rizzo, F. J. (1992): A general algorithm for the numerical solution of hypersigular boundary integral equations. ASME Journal of Applied Mechanics, vol. 59, pp. 604-614.
16. Han, Z. D.; Atluri, S. N. (2003): On some formulations of weak-singular traction & displacement BIE, and their solutions through Petrov-Galerkin approaches. CMES: Computer Modeling in Engineering & Sciences, vol. 4, No. 1, pp. 5-20.
17. Henry, D. P.; Banerjee, P. K. (1988): A new BEM formulation for two- and three-dimensional elastoplasticity using particular integrals. International Journal for Numerical Methods in Engineering, vol. 26, pp. 2079-2096.
18. Hildenbrand, J.; Kuhn, G. (1992): Numerical computation of hypersingular integrals and application to the boundary integral equation for stress tensor. Engineering Analysis with Boundary Elements, vol. 10, pp. 209-217.
19. Hill R. (1948): A theory of the yielding and plastic flow of anisotropic metals. Proceedings of the Royal Society of London, vol. A193, pp. 281-288.
20. Hill, R. (1983): The Mathematical Theory of Plasticity, Oxford University Press, Oxford.
21. Huang, L. X.; Sun, X. S.; Liu, Y. H.; Cen, Z. Z. (2004): Parameter identification for two-dimensional orthotropic material bodies by the boundary element method. Engineering Analysis with Boundary Elements, vol. 28, No. 2, pp. 109-121.
22. Karakuzu, R.; Ozcan, R. (1996): Exact solution of elasto-plastic stresses in a metal-matrix composite beam of arbitrary orientation subjected to transverse loads. Computers Science and Technology, vol. 56, pp. 1383-1389.
23. Karakuzu, R.; Sayman, O. (1994): Elasto-plastic finite element analysis of orthotropic rotating discs with holes. Computers and Structures, vol. 51, No. 6, pp. 695-703.
24. Kumar, V.; Mukherjee, S. (1977): A boundary integral equation formulation for time dependent inelastic deformation in metals. International Journal of Mechanical Sciences, vol. 19, No. 12, pp. 713-724.
25. Lekhnitskii, S. G. (1968): Anisotropic Plates, Gordon and Breach, New York.
26. Mendelson A. (1973): Boundary integral methods in elasticity and plasticity. NASA TN-D-7418.
27. Mukherjee, S. (1977): Corrected boundary integral equations in planar thermoelastoplasticity. International Journal of Solids and Structures, vol. 13, No. 4, pp. 331-336.
28. Nayak, G. C.; Zienkiewicz, O. C. (1972): Elasto-plastic stress analysis: a generalization for various constitutive relations including strain softening. International Journal for Numerical Methods in Engineering, vol. 15, pp. 113-135.
29. Ochiai, Y.; Kobayashi, T. (1999): Initial stress formulation for elastoplastic analysis by improved multiple-reciprocity boundary element method. Engineering Analysis with Boundary Elements, vol. 23, pp. 167-173.
30. Okada, H.; Atluri, S. N. (1994): Recent developments in the field-boundary element method for finite/small strain elastoplasticity, International Journal of Solids and Structures, vol. 31, pp. 1737-1775.
31. Okada, H.; Rajiyah, H.; Atluri, S. N. (1989): Nonhyper-singular integral representations for velocity (dis placement) gradients in elastic/plastic solids (small or finite deformations). Computational Mechanics, vol. 4, pp. 165-175.
32. Owen, D. R. J.; Figuerias, J. A. (1983): Anisotropic elasto-plastic finite element analysis of thick and thin plates and sheets. International Journal for Numerical Methods in Engineering, vol. 19, pp. 541-566.
33. Partridge, P. W.; Brebbia, C. A.; Wrobel, L. C. (1992): The Dual Reciprocity Boundary Element Method, Computational Mechanics Publications, Southampton.
34. Rizzo, F. J.; Shippy, D. J. (1970): A method for stress determination in plane anisotropic elastic bodies. Journal of Composite Materials, vol. 4, No. 1, pp. 36-61.
35. Sladek, J.; Sladek, V. (1995): Boundary element method for thermoelastoplastic problems. International Journal for Numerical Methods in Engineering, vol. 38, pp. 3635-3652.
36. Sun, X. S.; Cen, Z. Z. (2002): Further improvement on fundamental solutions of plane problems for orthotropic materials. Acta Mechanica Solida Sinica, vol. 15, No. 2, pp. 171-181.
37. Swedlow, J. L.; Cruse, T. A. (1971): Formulation of boundary integral equation for three-dimensional elasto-plastic body. International Journal of Solids and Structures, vol. 7, No. 12, pp. 1673-1683.
38. Tan, C. L.; Gao, Y. L. (1992): Boundary element analysis of plane anisotropic bodies with stress concentrations and cracks. Composite Structures, vol. 20, pp. 17-28.
39. Telles, J. C. F.; Brebbia, C. A. (1979): On the application of the boundary element method to plasticity. Applied Mathematical Modelling, vol. 3, pp. 466-470.
40. Vaziri, R.; Olson, M. D.; Anderson, D. L. (1992): Finite element analysis of fibrous composite structures: a plasticity approach. Computers and Structures, vol. 44, No. 1-5, pp. 103-116.
41. Zhang, C. (2002): A 2-D time-domain BIEM for dynamic analysis of cracked orthotropic solids. CMES: Computer Modeling in Engineering & Sciences, vol. 3, No. 3, pp. 381-398.