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Swelling and growth: a constitutive framework for active solids. (English) Zbl 1394.74124
Summary: We aim at coupling the theory of swelling, describing the effects of solvent uptake in polymeric solids, with that of growing, describing the change of the relaxed state in a continuum body. Basing on the hypotheses underlying the two theories, and using some key principles of continuum mechanics, we develop a chemo-mechanical model which describes the combined effects of swelling and growing in solids.

MSC:
74L15 Biomechanical solid mechanics
74A20 Theory of constitutive functions in solid mechanics
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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