Studies on Thermal Elastic-Plastic Problems (1st Report)

Quasistatic Evolution Problems for Nonhomogeneous Elastic Plastic Materials

The paper studies the quasistatic evolution for elastoplastic materials when the yield surface depends on the position in the reference configuration. The main results are obtained when the yield surface is continuous with respect to the space variable. The case of piecewise constant dependence is also considered. The evolution is studied in the framework of the variational formulation for rate...

Quasistatic Evolution Problems for Linearly Elastic - Perfectly Plastic Materials

The problem of quasistatic evolution in small strain associative elastoplasticity is studied in the framework of the variational theory for rate-independent processes. Existence of solutions is proved through the use of incremental variational problems in spaces of functions with bounded deformation. This provides a new approximation result for the solutions of the quasistatic evolution problem...

Finite-element Formulations for Problems of Large Elastic-plastic Deformation

Abstract-An Eulerian finite element formulation is presented for problems of large elastic-plastic flow. The method is based on Hill’s variational principle for incremental deformations, and is ideally suited to isotropically hardening Prandtl-Reuss materials. Further, the formulation is given in a manner which allows any conventions finite element program, for “small strain” elastic-plastic an...

Strain Elastic-plastic Theories

In a unified approach, the virtual work equations in rate form and in incremental forms are derived rigorously for elastic-plastic continuum subjected to large strains. T h e finite element p r d u r e s for the analyses of clastic-plastic solid b a d on Lee’s theory and the Green-Naghdi theory arc presented. Also, i t i s shown that transformations can be performed among the Eulerian, the Tota...

Technical Note On numerical analysis of damage evolution in cyclic elastic–plastic crack growth problems