We discuss a solution algorithm for quasi-static elastoplastic problems with hardening. Such problems can be described by a time dependent variational inequality, where the displacement and the plastic strain fields serve as primal variables. After discretization in time, one variational inequality of the second kind is obtained per time step and can be reformulated as each one minimization pro...

Awell-established numerical approach to solve the Navier–Stokes equations for incompressible žuids is Chorin’s projection method [1], whereby the žuid velocity is explicitly updated, and then an elliptic problem for the pressure is solved, which is used to orthogonally project the velocity eld to maintain the incompressibility constraint. In this paper, we develop a mathematical correspondence...

A general condition of nucleation in elastoplastic materials is derived and specified for dilatational phase transitions (PT). The work integral in the nucleation criterion is calculated numerically after solution of a set of boundary-value problems using finite elements method. The example of the relation between applied axial stress, volumetric transformation strain and PT temperature is dete...

Indentation experiments on thin films are analyzed by using a rigorous solution to model elastic substrate effects. Two cases are discussed: elastic indentations where film and substrate are anisotropic and elastoplastic indentations where significant material pileup occurs. We demonstrate that the elastic modulus of a thin film can be accurately measured in both cases, even if there is signifi...

The Arabian Journal for Science and Engineering, Volume 29, Number 2C. December 2004 17 †To whom correspondence should be addressed. A CONVERGENT ADAPTIVE WAVELET–ROTHE METHOD FOR ELASTOPLASTIC HARDENING* Giovanni Naldi Universitá di Milano, Dipartimento di Matematica Via Saldini 50, I-20133 Milano, Italy e-mail: [email protected] Karsten Urban† Universität Ulm, Abteilung Numerik, D-8...

In this paper we present the efficient parallel implementation of elastoplastic problems based on the TFETI (Total Finite Element Tearing and Interconnecting) domain decomposition method. This approach allow us to use parallel solution and compute this nonlinear problem on the supercomputers and decrease the solution time and compute problems with millions of DOFs. In our approach we consider a...

In this paper, a methodology for finite-element elastoplastic analyses of structures subjected to cyclic loading, based on a new form of endochronic {internal time) plasticity theory, is presented. In the present version of the endochronic theory, the rate forms of the stress/strain relations (stated here explicitly for plane stress, plane strain, and three-dimensional cases) are entirely analo...

in many cases, a torsional shaft may be a thick-walled radially inhomogeneous cylindrical object. the hollow shafts made of functionally graded materials (fgms) are such kind of compositions which were studied in this paper. cylindrical fg shafts are composed of ceramic and metallic parts with power function distribution across the radial direction. the ceramic phase is isotropic elastic and th...