Numerical simulation of a solid deformation under the action of an external and internal pressure

Today, the mathematical modeling of the solids deformation is of great interest due to the development of new materials. In this paper we consider the extended finite element method (XFEM) to simulate the elastic deformation of three-dimensional objects with the complex internal structure. We obtained that the XFEM solutions are in the good agreement with the results of the classical finite element method. However, the XFEM allows us to solve interface move problems without any remeshing.