Moving from the seminal papers of Han and Reddy [3][4][7], we propose a fixed–point algorithm for the solution of hardening plasticity plane–strain problems. The continuous problem may be classified as a mixed nonlinear non–differentiable variational inequality of the second type [3] and is discretized by means of a truly mixed finite–element approach [1]. One of the peculiarities is the use of...

[1] We extend an elastodynamic finite element method to incorporate off-fault plastic yielding into a dynamic earthquake rupture model. We simulate rupture for models of faults with a kink (a sharp change in fault strike), examining how off-fault plastic yielding affects rupture propagation, seismic radiation, and near-fault strain distribution. We find that high-frequency radiation from a kink...

In this paper, the effects of horizontal stress and dimensions of barrier pillars on the stability of drifts hr been investigated. An elastoplastic hybrid finite/boundary element program has been used. A plastic analysis of stresses in barrier pillars above the drifts in one of the underground coal mines with inclined seams is examined. Computed stresses and safety factor controur lines around ...

The current paper primarily aims to suggest a mathematical model for the shape-dependent term of Khan- Liu (KL) Yield/ fracture criterion as a function of Plastic Strain for DP590 steel alloy. The shape-dependent term in the mention criterion can generalize the application of this criterion in order to predict the behavior of other materials. Plane stress case and the first quarter of the stres...

Full-field quantitative strain maps of phase transformation and plasticity in Nitinol under large sheardominated deformation are presented. To achieve a sheardominated deformation mode with relatively uniform stresses and strains, a shear compression specimen (SCS) geometry was utilized. Shear deformation appears to impede the development of the strain localization during phase transformation t...

In this acticle a semi-smooth Newton method for frictional two-body contact problems and a solution algorithm for the resulting sequence of linear systems is presented. It is based on a mixed variational formulation of the problem and a discretization by finite elements of higher-order. General friction laws depending on the normal stresses and elasto-plastic material behaviour with linear isot...

Experimental assessment of the reverse algorithms that enable the extraction of plastic properties from the load–depth of penetration curves was conducted. Results show that they predict the stresses at 3.3% and 5.7% representative strains for Berkovich and 60 cone-equivalent three-sided pyramidal indenters, respectively, with good accuracy. It was shown that the uniaxial stress–strain curves c...

The material response discussed in the previous chapters was limited to the response of elastic materials, in particular to linearly elastic materials. Most metals, for example, exhibit linearly elastic behavior when they are subjected to relatively low stresses at room temperature. They undergo plastic deformations at high stress levels. For an elastic material, the relationship between stress...

We consider fiber reinforced composites where both the matrix and the fibers are ideally plastic materials. We restrict our attention to microstructures and applied stresses that lead to both microscopic and macroscopic antiplane shear deformations. We describe a bound we have recently obtained on the yield set of the composite in terms of the shape of the fibers, their volume fraction, and the...

The encapsulation stress induced on a micromachined silicon membrane pump encapsulated in plastic is quantified. A combination of numerical and analytical techniques are used to deduce limits for the maximum permissible diemensions of a membrane subject to encapsulation stresses. The approach uses finite element techniques to estimate the membrane stress due to packaging followed by an elastic ...