The viscoelastic behavior of linear elastic materials with voids (Q1058343)

It is shown that the constitutive equations for a linear elastic material with voids imply a viscoelastic stress-strain relation known as the ''standard linear solid'' in the case of quasi-static, homogeneous deformations in the absence of self-equilibrated body forces. It is noted that, even for deformations that are dynamic and/or inhomogeneous the viscoelastic behavior is still qualitatively similar to that predicted by the standard linear solid model.