Prelude to the General Three-Dimensional Case
This chapter introduces the general three-dimensional case. The basic equations of continuum mechanical modeling, i.e. the equilibrium, the constitutive and the kinematics relationships are used to derive the governing differential equation of static solids. The finite element approximation for linear-elastic material behavior is presented for hexahedron solid elements. The chapter closes with an introduction to the handling of elasto-plastic material behavior based on the fully implicit backward Euler algorithm.