Abstract
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.
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References
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Cowin, S.C. The viscoelastic behavior of linear elastic materials with voids. J Elasticity 15, 185–191 (1985). https://doi.org/10.1007/BF00041992
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DOI: https://doi.org/10.1007/BF00041992