On the stress integration in large strain elasto-plasticity

Abstract

We briefly compare three algorithms for large strain elastoplastic analysis in which the logarithmic strain tensor is used to measure the deformations. The first and second algorithms are based on using, respectively, the elastic stretch matrices in the right basis and left basis of the polar decomposition of the trial elastic deformation gradient, and the third algorithm uses the left basis and the Finger deformation tensor.

Particle Finite Element Simulation of Chip Formation in Cutting Processes

“…Finally, the displacement is updated with u n+1 = u n + ∆u. For more elaborate details, such as the algorithmic tangent, the reader is referred to [15,14,16]. To determine the plastic strain increment ∆ε p , a stress update algorithm known from small strain theory can be used (see [18,19,17]).…”

Simulation of Cutting processes by the Particle Finite Element Method

“…For more elaborate details, such as the algorithmic tangent, the reader is referred to [13][14][15]. To determine the plastic strain increment ∆ε p , a stress update algorithm known from small strain theory can be used (see [16][17][18].…”