A solution procedure for lower bound limit and shakedown analysis by SGBEM

Acta Mechanica Solida Sinica

Volumn 14, Issue 2, 2001, Pages 118-129

  Zhang, Xiaofeng ^a   Liu, Yinghua ^a   Cen, Zhangzhi ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Limit and shakedown analysis; Nonlinear programming; Self equilibrium stress; SGBEM

Indexed keywords

EID: 0035648256     PISSN: 08949166     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. Zienkiewicz, O. C., The Finite Element Method, McGraw-Hill, London, 1977.
2. Brebbia, C. A. and Walker, S., Boundary Element Techniques in Engineering, Newnes-Butterworths, London, 1980.
3. Maier, G. and Munro, J., Mathematical programming applications to engineering plastic analysis, Applied Mechanics Reviews, Vol. 35, 1982, 1631-1643.
4. Maier, G. and Polizzotto, C., A boundary element approach to limit analysis, in; Futagami, C. A. and Tanaka, M. (eds.), 5th Int. Conference on Boundary Elements, Hiroshima, Springer-Verlag, 1983, 551-556.
5. Maier, G. and Polizzotto, C., On shakedown analysis by boundary elements, in: Verba Volant, Scripta Manent (C. Massonet Anniversary Volume), Liege, 1984, 265-277.
6. Maier, G., Nappi, A. and Novati, G., Boundary element analysis in plasticity and mathematical programming, in: Du, Q. H. (eds.), Proceedings of the Int. Conf. on Boundary Elements, Pergamon Press, Beijing, 1986, 261-273.
7. Teixeira de Freitas, J. A., A kinematic model for plastic limit analysis of solids by the boundary integral method, Comp. Meth. Appl. Mech. Engng., Vol. 88, 1991, 189-205.
8. Panzeca, T., Shakedown and limit analysis by the boundary integral equation method, Eur. J. Mech., Al Solids, Vol. 11, 1992, 685-699.
9. Panzeca, T., Salerno, M. and Terravecchia, S., Shakedown analysis by BEM, in; European Congress on Computational Methods in Applied Sciences and Engineering, Barcelona, Spain, 2000, 166.
10. Bonnet, M., Maier, G. and Polizzotto, C., Symmetric Galerkin boundary element methods, Appl. Mech. Rev., Vol. 51, 1998, 669-704.
11. Martin, J. B., Plasticity: Foundation and General Results, MIT Press, Cambridge: Mass., 1975.
12. Sirtori, S., General stress analysis method by means of integer equations and boundary elements, Meccanica, Vol. 14, 1979, 210-218.
13. Maier, G. and Polizzotto, C., A Galerkin approach to boundary element elastoplastic analysis, Comp. Meth. Appl. Mech. Engng., Vol. 60, 1987, 175-194.
14. Stein, E. and Zhang, G., Shakedown with nonlinear strain-hardening including structural computation using finite element method, Int. J. of Plasticity, Vol. 8, 1992, 1-31.
15. Stein, E., Zhang, G. and Huang, Y., Modeling and computation of shakedown problems for nonlinear hardening materials, Comp. Meth. Appl. Mech. Engng., Vol. 103, 1993, 247-272.
16. Xi, S. L. and Zhao, F. Z., Computational Methods of Optimization, Science and Technology Press of Shanghai, Shanghai, 1983 (in Chinese).
17. Gross-Weege, J., On the numerical assessment of the safety factor of elastic-plastic structures under variable loading, Int. J. Mech. Sci., Vol. 39, No. 4, 1997, 417-433.
18. Carvelli, V., Cen, Z. Z., Liu, Y. H. and Maier, G., Shakedown analysis of defective pressure vessels by a kinematic approach, Archive of Applied Mechanics, Vol. 69, 1999, 751-764.
19. Sawczuk, A., Shakedown analysis of elastic-plastic structures, Nuclear Engineering and Design, Vol. 28, 1974, 121-136.