Swelling and growth: a constitutive framework for active solids.

*(English)*Zbl 1394.74124Summary: 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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\textit{M. Curatolo} et al., Meccanica 52, No. 14, 3443--3456 (2017; Zbl 1394.74124)

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