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arXiv 1607.02528cond-mat.soft
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polymer凝胶的大应变多孔弹性板理论及其在复合材料板溶胀诱导变形中的应用

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

Alessandro Lucantonio, Giuseppe Tomassetti, Antonio DeSimone

摘要:

我们推导出一个大应变板模型,允许描述瞬态,耦合过程涉及弹性和溶剂迁移,通过执行三维多孔弹性理论的降维。我们将该模型应用于聚合物凝胶板,其中一个特定的运动学约束和本构关系举行。最后,我们通过两个数值基准,通过有限元方法求解,评估了板模型相对于父三维模型的精度。我们的研究结果表明,该理论提供了一个有效的计算框架的研究溶胀诱导复合凝胶板的变形。

英文摘要:

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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