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arXiv · 1607.02528

Large-strain poroelastic plate theory for polymer gels with applications to swelling-induced morphing of composite plates

Alessandro Lucantonio·Giuseppe Tomassetti·Antonio DeSimone
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Abstract

We derive a large-strain plate model that allows to describe transient, coupled processes involving elasticity and solvent migration, by performing a dimensional reduction of a three-dimensional poroelastic theory. We apply the model to polymer gel plates, for which a specific kinematic constraint and constitutive relations hold. Finally, we assess the accuracy of the plate model with respect to the parent three-dimensional model through two numerical benchmarks, solved by means of the finite element method. Our results show that the theory offers an efficient computational framework for the study of swelling-induced morphing of composite gel plates.

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Alessandro Lucantonio, Giuseppe Tomassetti, Antonio DeSimone. 2016-07-08. Large-strain poroelastic plate theory for polymer gels with applications to swelling-induced morphing of composite plates. https://arxiv.org/abs/1607.02528

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