svp est ce qu'il y a une solution pour ce problème


Half-Space under cyclic indentation
We shall consider the cyclic indentation of an infinite half-space. The indenter will be consider as :
(i) spherical (subject A)
(i) conical (subject B)
The halfspace is made of stainless steel with the following material parameters :
E = 2 1011 Pa  = 0.4 Y = 500.MPa
Questions
Program parametric meshes and boundary conditions in order to compare several values during the computations.
1. Program the elastic problem in gibiane describing the contact boundary condition as a given pressure field as
given in [2]. Compare the solution with the closed-form results in [2] ?
2. Program the elastoplastic problem in gibiane using the pasapas operator using (i) a given pressure field (b) a
contact conditions, i.e. using operator impo :
mail_cont = ’IMPO’ ’MAIL’ dhaut dind;
...
tabexp . ’CONTACT’ = mail_cont;
...
pasapas tabexp;
where dhaut, dind are the upper line of the half space and the lower line of the indentor which will be in
contact. In order to obtain a coherent contact conditions respect carefully the defintions of the operators.
3. Plot the distribution of axial strain and stress along the specimen.
4. Plot the history of the strain and strain components, as well as the evolution of the contact area.
5. Determine the passage between the elastic, plastic and ratcheting regimes as a function of the maximal temperature
in the specimen and the constitive law under consideration.
6. Does the size mesh influence the results ? Explain.