In this paper we present efficient parallel implementation of solvers for elastoplastic problems based on the so-called Total Finite Element Tearing and Interconnecting (TFETI) domain decomposition method. We propose a set of numerical experiments to illustrate effectivity of the presented solvers. We consider an associated elastoplastic model with the von Misses plastic criterion and the isotr...

We discuss a new solution algorithm for solving elastoplastic problems with hardening. The one time-step elastoplastic problem can be formulated as a convex minimization problem with a continuous but non-smooth functional dependening on unknown displacement smoothly and on the plastic strain non-smoothly. It is shown that the functional structure allows the application of the Moreau-Yosida Theo...

A micromechanical damage constitutive model is presented to predict the overall elastoplastic behavior and damage evolution in random carbon fiber polymer matrix composites (RFPCs). To estimate the overall elastoplastic damage responses, an effective yield criterion is derived based on the ensemble-volume averaging process and first-order effects of eigenstrains due to the existence of spheroid...

Quasi-static elastoplastic contact problems are ubiquitous in many industrial processes and other contexts, and their numerical simulation is consequently of great interest in accurately describing and optimizing production processes. The key component in these simulations is the solution of a single load step of a time iteration. From a mathematical perspective, the problems to be solved in ea...

Themathematical foundation of the traditional elastoplastic constitutive theory for geomaterials is presented from themathematical point of view, that is, the expression of stress-strain relationship in principal stress/strain space being transformed to the expression in six-dimensional space. A new framework is then established according to the mathematical theory of vectors and tensors, which...

The non-stationary shear interaction of a cylindrical body with the surrounding is discussed in article. A considered elastic, and medium modelled as an elastoplastic medium. conditions on contact surface are taken form Coulomb friction. two-dimensional problem numerically solved by finite difference method. Based results calculations, mechanism deformation energy redistribution formation frict...

The testing and development of contact material or topology can be addressed with a dedicated experimental set up for monitoring test structures. However, it is difficult to perform the tests under realistic conditions. Moreover several works have already been published about the different theories describing rough mechanical contact. But they often ignore interaction between asperities, bulk d...