Abstract
Based on the deformation theory of linear hardening materials, a simplified finite element analysis method is proposed to calculate elasto-plastic responses of general hardening materials. Compared with the general elasto-plastic incremental finite element analysis, the proposed method can avoid the incremental iteration of nodal displacements and the constitutive equation integration at each Gauss integral point. This method appears to be more theoretically reasonable, and the material property need not be limited to linear hardening. The method provides an effective tool to calculate structural elasto-plastic responses. Numerical examples have demonstrated that its computational efficiency is very much higher than that of the incremental elasto-plastic finite element analysis, and computational results are accurate enough to meet the need of engineering practice.
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