This paper presents a detailed description of the computer implementation of a generalized midpoint algorithm for integration of constitutive relations for von Mises’ hardening material. A nonlinear scalar equation for determination of the plastic multiplier is derived. The solution of this equation for a hardening material, by the Newton-Raphson method, usually converges in threefour iteration...

Acknowledgments It is my pleasure to express my thanks to my supervisors Professor Dr. C. Carstensen for suggesting this topic to me, for many valuable discussions, and for their supervision during my stays in Kiel and Munich. I wish to thank all of my colleagues at the Lehrstuhl für Wissenschaftliches Rechnen and Dr. G. Grammel for scientific advice. I am grateful to Dr. J. Alberty and R. Klos...

This paper studies the interaction between non-viscous damping and nonlinearities for nonlinear oscillators with reflection symmetry. The non-viscous damping function is an exponential damping model which adds a decaying memory property to the damping term of the oscillator. We consider the case of softening and hardening behaviour in the frequency response of the system. Numerical simulations ...

using cold working fastener holes is a simple life enhancement procedure that strengthens metallic components by retarding crack growth around a hole. in the present paper, the residual stress field that is induced by the hole expansion process is obtained based on different material models namely elastic perfect plastic, isotropic hardening and kinematic hardening using three-dimensional finit...

In this paper a simple tool for seismic design of steel structures for a selected ductility level is presented. For this purpose, a consistent set of earthquakes is selected and sorted based on the maximum acceleration of ground surface. The selected records are applied as the base motion to a single-degree-of-freedom system with strain hardening and the maximum response acceleration is determi...

A common belief in phenomenological strain gradient plasticity modeling is that including the of scalar variables constitutive setting leads to size-dependent isotropic hardening, whereas second-order tensors induces kinematic hardening. The present paper shows it also possible produce hardening using scalar-based theory. For this purpose, a new model involving equivalent plastic developed and ...