Two extending crack problems in linear viscoelasticity theory

Two Extending Crack Problems in Linear Viscoelasticity

A thermodynamic theory of solid viscoelasticity. Part I: Linear viscoelasticity

The present series of three consecutive papers develops a general theory for linear and fmite solid viscoelasticity. Because the most important object for nonlinear studies are rubber-like materials, the general approach is specified in a form convenient for solving problems important for many industries that involve rubber-like materials. General linear and nonlinear theories for non-isotherma...

Variational Principles in the Linear Dynamic Theory of Viscoelasticity

Numerical Solution of Linear Quasistatic Hereditary Viscoelasticity Problems

We give a space-time Galerkin nite element discretization of the linear quasistatic compressible viscoelasticity problem as described by an elliptic partial diierential equation with a Volterra (memory) term. The discretization consists of a continuous piecewise linear approximation in space with a discontinuous piecewise constant or linear approximation in time. We derive an a priori maximum-e...

An Enhanced Finite Element method for Two Dimensional Linear Viscoelasticity using Complex Fourier Elements

In this paper, the finite element analysis of two-dimensional linear viscoelastic problems is performed using quadrilateral complex Fourier elements and, the results are compared with those obtained by quadrilateral classic Lagrange elements. Complex Fourier shape functions contain a shape parameter which is a constant unknown parameter adopted to enhance approximation’s accuracy. Since the iso...