Abstract
Rubberlike materials and soft biological tissues can exhibit a time-dependent response. For example, stresses can decrease under the constant strains—stress relaxation—or strains can increase under the constant stresses—creep. Such phenomena are usually related to viscosity, which is a fluid-like property of materials. As usual in the case of soft materials, geometrical and physical nonlinearities make the well-known theory of linear viscoelasticity essentially useless. Strongly nonlinear theory of viscoelasticity is required and presented in this chapter.
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Notes
- 1.
Inelastic deformation are not necessarily related to flow per se—they can be deformations resulted from growth of living tissues, for example.
- 2.
We follow Hoo Fatt and Ouyang (2008) yet with slightly different constants.
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Volokh, K. (2016). Viscoelasticity. In: Mechanics of Soft Materials. Springer, Singapore. https://doi.org/10.1007/978-981-10-1599-1_10
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DOI: https://doi.org/10.1007/978-981-10-1599-1_10
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