Viscoelastic Finite Element Formulation
The finite element method is the most popular numerical procedure for the analysis of solids and structures, including those with time dependent properties. In this chapter, we present an incremental viscoelastic finite element formulation for problems with geometrical nonlinearity characterized by large displacements and rotations with small strains. The formulation is based on a total Lagrangian kinematic description. We begin with a brief presentation on the principle of virtual displacements for geometrically nonlinear problems. Procedures used for the computational implementation of the nonlinear viscoelastic model are also presented. We assume that the reader has a basic knowledge of the finite element method and of nonlinear continuum mechanics.
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