Zh. Guo et O. Watanabe, EFFECTS OF HYPOELASTIC MODEL AND PLASTIC HARDENING ON NUMERICAL-SIMULATION (SHEAR DEFORMATION OF 2-DIMENSIONAL PLANE BLOCK), JSME international journal. Series A, mechanics and material engineering, 38(4), 1995, pp. 531-540
In the present paper we give a finite-element formulation for large-de
formation elastic-plastic structural analysis in order to study the ef
fects of the utilized constitutive equation on numerical simulation Th
e 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. For the plastic hardening rule, the inte
rnal time theory is employed, which can be regarded as a combined nonl
inear isotropic/kinematic hardening plasticity model retaining the con
cepts of 'yield surface' and 'normality rule'. Numerical examples of p
lane blocks subjected to shear deformation show how the fundamental fe
atures of mechanical response are affected by the constitutive equatio
n employed.