亜弾性体の構成式と塑性硬化則が数値シミュレーションに及ぼす影響 : 2次元平面ブロックのせん断変形

抄録

The present paper gives a finite-element formulation for largely deformed elastic-plastic structural analysis in order to study the effects of the constitutive equation utilized on numerical simulations. The general framework of the constitutive equation for large strain and rotation problems is based on hypoelasticity, where either Jaumann or Green stress-rate is assumed. As for the plastic hardening rule, the internal time theory is employed, which can be regarded as a combined nonlinear isotropic/kinematic hardening plasticity model retaining the concepts of 'yield surface' and 'normality rule.' Numerical examples of plane block subjected to shear deformation show the fundamental features of mechanical response affected by the employed consititutive equation.