1. Reference problem

1.1. Geometry

1.2. Material properties

The material obeys a law of behavior in large plastic deformations with linear isotropic work hardening, whose characteristics depend on temperature.

The tensile curve is given in the plane logarithmic deformation - rational stress.

and

are, respectively, the initial length and the current length of the useful part of the test piece.

and

are, respectively, the initial and current surfaces. Between temperatures \(20°C\) and \(120°C\), the characteristics are interpolated linearly.

1.3. Boundary conditions and loads

The bar, of initial length

, stuck in the direction

on the side [1,2] is subjected to a uniform temperature

and to a mechanical traction movement

on side \(\mathrm{[}\mathrm{3,}4\mathrm{]}\). The loading sequences are as follows:

Reference temperature:

=20°C.

Note:

The mechanical displacement is measured from the configuration deformed by thermal loading ( \(t\mathrm{=}\mathrm{1s}\) ). To get the total displacement, you must therefore add the thermal displacement obtained to the time \(t\mathrm{=}\mathrm{1s}\) .