1. Reference problem#

1.1. Geometry#

The stresses and deformations are homogeneous in the volume element. This can be represented by a plane or a solid element, for example:

_images/1000000000000109000000BAD6A0788DBB6F42AA.png

1.2. Material properties#

Law of elastoplastic behavior with linear kinematic work hardening.

_images/10000000000000DF00000097125EB0AC85421A99.png

\(\begin{array}{}E=195000\mathrm{MPa}\\ \nu =0.3\\ {\sigma }_{\gamma }=181\mathrm{MPa}\\ {E}_{T}=1930\mathrm{MPa}\end{array}\)

1.3. Boundary conditions and loads#

The volume element is locked along \(\mathrm{Ox}\) along the \([\mathrm{2,4}]\) side while being subjected to a pull \({\sigma }^{D}\) and a shear force \({\tau }^{D}\).

_images/100000000000010C000000A8A3A7163329D4436A.png _images/10000000000000E50000009112D432FB70ABC472.png

The loading path is as follows:

\({\sigma }^{D}\text{[MPa]}\)

\({\tau }^{D}\text{[MPa]}\)

\(A\)

151.2

93.1

\(B\)

257.2

33.1