不均質な材料の塑性変形における表面分岐と表面あれ

概要

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Surface instability in an elastic-plastic solid under a large strain is analysed by means of the finite element method for plane strain deformation. An updated Lagrangian formulation is employed. The influence of material inhomogenity is mainly studied using a model of inhomogeneous material with a surface, which is composed of two kinds of regions with respective work hardening exponent. The finite strain version of deformation theory is employed as a constitutive law. It is shown, until the overall strain reaches the surface bifurcation strain, and then it increases sharply with strain. When the degree of inhomogeneity is large, the growth of surface roughness starts from the early stage of deformation and increases nearly in proportion to the applied strain. The critical strain of the surface bifurcation in compression is smaller than that in tension. The roughening due to inhomogeneity is also greater during compression than during tension.
一般社団法人日本機械学会の論文
1987-06-25