Numerical methods for treating problems of viscoelastic isotropic solid deformation
Mathematical models for treating problems of linear viscoelasticity involving hereditary constitutive relations for compressible solids are discussed, and their discretization using finite element methods in space together with quadrature rules in time to treat the hereditary integrals is described. The range of applicability of this type of formulation is reviewed in the context of geometric and constitutive linearity/nonlinearity, and the limitations imposed by the availability of physical data are discussed.
Volterra integral equation of second kind
scientific article; zbMATH DE number 903492
scientific article