Development of Numerical Algorithms for Multicontact Problems of Mechanics Considering Various Inelastic Effects

Algorithms for the numerical solution of contact quasi-static problems of deformable solid mechanics were constructed. The contact interaction of the body system was con- sidered using the mortar method (a variant of the Lagrange multiplier method). The de- veloped algorithms were used to simulate the thermomechanical state of a fuel element section, considering creep and cracking. The results of calculations for axisymmetric for- mulation of the problem for the operation mode of a fuel element with constant heat release in fuel pellets are presented.