Materially Nonlinear Large Displacement Analysis of Structures Using Reduced Basis Technique
A reduced basis technique for solving the materially nonlinear and large displacement problems in structural analysis is presented. Starting from the main ideas in reduction methods, which are recently developed for applications in solving purely elastic problems, extensions of such methods are given for elastic-plastic problems. The attention is confined to small strain analysis of metallic structures. To describe elastic-plastic behaviour in ductile metals, a strain space theory, developed in the framework of the general theory of plasticity given by Green and Naghdi is used.
KeywordsPlasticity Theory Ductile Metal Strain Space Continuation Parameter Global Shape Function
Unable to display preview. Download preview PDF.
- 2.Noor, A.K.; Andersen, C.M.; Peters, J.M.: Global-local approach for nonlinear shell analysis. Proceedings of the Seventh ASCE Conference on Electronic Computation. St. Louis, Missouri, USA: Washington University (1979) 634–657.Google Scholar
- 8.Yoder, P.J.: A strain-space plasticity theory and numerical implementation. California Inst. of Technology, USA (1980).Google Scholar