Constitutive modeling of hyperelastic fibrous material

Abstract

This thesis will concentrate on the deformation of bodies from incompressible and compressible materials. The analysis is based on several approaches, the first approach is an analytical way. Here we will plan to consider the behavior of cylindrical samples from isotropic and anisotropic materials under inflation and uniaxial stretching loads. The deformation will be considered with semi-inverse method in the framework of the non-linear theory of elasticity, equilibrium equations which describe the behavior of a three-dimensional body will be derived. Further, we will consider the deformation of hyperelastic solids from finite element methods point of view. The numerical results will be received with proven and reliable algorithms, then the results will be checked with softwares. The algorithms will be done for the samples from isotropic and then it will be extended to the cases of anisotropic materials. In the last part, all named ways of the solution will be compared for the solid cylinder case.