Solution of elastic-plastic shallow shell problems by the boundary element method
- 3 Downloads
The boundary integral equations for elasto-plastic problems of shallow shells are established by using the fundamental solutions of shallow shells derived previously. The strains and stress-resultants in the plastic region are used as unknown variables. The simultaneous nonlinear equations of these variables and unknown boundary values are established and solved by direct iteration method.
Key wordsboundary element method shallow shells elasto-plastic shells
Unable to display preview. Download preview PDF.
- Swedlow K. L. and Cruse T. A., Formulation of boundary integral equations for three-dimensional elasto-plastic flow,Int. J. Solids & Struc.,7 (1971) 1643–1684.Google Scholar
- Telles J. C. F., The Boundary Element Method Applied to Inelastic Problems, Springer-Verlag (1983).Google Scholar
- Mukherjee S., Boundary Element Method in Creep and Fracture (1982).Google Scholar
- Morkaria M. and Mukherjee, S., Numerical analysis of planar time dependent inelastic deformation of plates with cracks by the boundary element method,Int. J. Solids & Struc.,17, 127–143.Google Scholar
- He G. Q., Lin C. Z. and Tang J., A integral equation method for the analysis of plates and shells, in Proc. Int. Conf. on FEM, Shanghai, China (1982).Google Scholar
- Il'yushin A. A., Plasticity (in Russian), (1963).Google Scholar
- Murray D. W. and Wilson E. L., An approximate nonlinear analysis of plates, in Proc. 2nd Conf. on Matrix Meth. in Struc. Mech., Ohio, Oct. (1965).Google Scholar