非線型硬化則を用いた粘塑性構成式の数値積分における安定性に関する一考察

抄録

A mathematical mechanism of the stability of the numerical integral by one-step Euler method is discussed in applying to a viscoplastic constitutive equation. The algorithm of one-step Euler method is represented by a nonlinear dynamic system and it is shown that its stability can be examined through an analysis of eigen values of the Jacobian at the fixed point of the dynamic system.
Numerical experiments of the viscoplastic deformation give the validity of the theory.