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

• Published in: Theoretical and applied fracture mechanics 1999-06, Vol.31 (3), p.189-202
• Main Author: Cherepanov, O.I.
• Format: Article
• Language: English
• ISSN: 0167-8442; 1872-7638
• DOI: 10.1016/S0167-8442(99)00013-0

The localized viscoelastoplastic strain in the mesovolume of heterogeneous media under quasi-static and dynamic loading is investigated. The generalized Bingham–Shwedov model is used; it consists of a combination of Dragon–Mroz's for elastoplasticity and Maxwell's model of viscoelasticity. Any variational finite-difference scheme for solving the quasi-static problem of elastoplastic 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 spatial derivatives is made by using the twofold partition of spatial domain in tetrahedronal or three-angular (in two-dimensional space) unit cell of mesh-work. Finite difference for deformation is made use of in two or three space dimensions and time. Results for heterogeneous medium with complex form and large number of interior surfaces are obtained for quasi-static and dynamics problems.