A Concept for Modelling and Computation of Finite Inelastic Deformations

摘要: Recent developments in the formulation of inelastic material behaviour at finite strains based on a multiplicative decomposition deformation gradient, as proposed by Lee & Liu [10], [9], are summarized. The approach Simo [21], [22] for case strain elastoplasticity is extended to elastoviscoplasticity, see MUller-Hoeppe Stein [14], [15], employing outset hyperelastic relations and leading outcome an algorithm suitable large scale computation. From theoretical standpoint novel steps that differentiate from previous formulations following: The role isotropy. Applying representation theorem isotropic tensor functions, e.g. Truesdell Noll [28], spatial versions Doyle-Ericksen formula, Doyle&Ericksen [1], Marsden Hughes [13], derivation underlying theory carried out completely current configuration, bypassing pull-back push-forward transformations. initial configuration only necessary define kinematic relations. The maximum dissipation Once constraint postulated, associative flow rule compatible with derived optimality condition arising dissipation. resulting sixdimensional exactly infinitesimal theory, not nine-dimensional, Lubliner [11], [12].