Jl. Chaboche et G. Cailletaud, INTEGRATION METHODS FOR COMPLEX PLASTIC CONSTITUTIVE-EQUATIONS, Computer methods in applied mechanics and engineering, 133(1-2), 1996, pp. 125-155
This paper shows new results concerning the Finite Element computation
s with complex plastic and viscoplastic constitutive equations. The in
tegration procedure then needs special numerical treatments when a lar
ge number of internal variables are present, or for stiff non-linearit
ies. Implicit and explicit integration methods are compared. The gener
al solution proposed can be applied either in plasticity or in viscopl
asticity, for isotropic or anisotropic materials. Several options are
proposed in the numerical scheme and for the completion step for the s
emi-implicit scheme. Numerical tests are performed in order to compare
the relative performances of the various approaches.