Localized viscoelastoplastic strain in mesovolume of heterogeneous medium under different loading types

The localized viscoelastoplastic strain in the mesovolume of heterogeneous media under quasi-static and dynamic loading is investigated. The generaliz ed Bingham-Shwedov model is used; it consists of a combination of Dragon-Mr oz's for elastoplasticity and Maxwell's model of viscoelasticity. Ally vari ational finite-difference scheme for solving the quasi-static problem of el astoplastic yielding of a heterogeneous solid can be taken into account. A modified Lagrange's variance equation for analyzing the stress-strain state can be described by the non-symmetric stress tensor. Approximation of spat ial derivatives is made by using the twofold partition of spatial domain in tetrahedronal or three-angular tin two-dimensional space) unit cell of mes h-work. Finite difference for deformation is made use of in two or three sp ace dimensions and time. Results for heterogeneous medium with complex form and large number of interior surfaces are obtained for quasi-static and dy namics problems. (C) 1999 Elsevier Science B.V. All rights reserved.