反復法による衝撃弾粘塑性有限要素法の定式化

概要

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In this paper, the iterative method which had been reported by Kawano et al. was applied to the elastic-viscoplastic problem. Solutions of this finite-element method using two kinds of algorithms (explicit method and implicit method) were compared with Liu's solutions for an elastic-viscoplastic square cross section subjected to longitudinal impact. The convergence and calculation accuracy of this method were examined. When a constitutive equation in which equivalent stress is decreased rapidly with increase of equivalent plastic strain is used, for example, the constitutive equation of Johnston-Gilman type, it is important to clarify the uniqueness of the solution, especially, in the case of plane stress. We proved that if the following condition is satisfied, uniqueness of the solution exists : dH/dε^^-^p > -G(1+ν)/(1-ν).
1993-12-25