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Visco-Hyperelasticity for Incompressible Anisotropic Materials

机译:不可压缩各向异性材料的粘超弹性

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摘要

Polymers and biological materials are often considered hyperelastic isochoric materials with a relevant viscous behavior. The behavior of these materials is often anisotropic due to reinforcing components laid up during manufacturing or by nature. In this paper we present and compare two different formulations developed for anisotropic materials which sustain large strains and contain a viscous dissipative behavior. We use a phenomenological, continuum-based approach. These formulations are valid for large deviations from thermodynamic equilibrium and can be coupled with any available anisotropic large-strain stored energy. Even though one formulation is based on the Sidoroff multiplicative decomposition and the other on a reversed decomposition, a parallelism between both formulations is apparent. Furthermore, for the case of moderate large strains, anisotropic hyperelasticity and isotropic viscosity, we show that we obtain similar predictions in the given examples.
机译:聚合物和生物材料通常被视为具有相关粘性行为的超弹性等速材料。这些材料的行为通常是各向异性的,这是由于在制造过程中或天生就放置了增强组件。在本文中,我们介绍并比较了为各向异性材料开发的两种不同配方,这些材料能够承受较大的应变并具有粘性的耗散性能。我们使用一种现象学的,基于连续统的方法。这些公式对于与热力学平衡的较大偏差有效,并且可以与任何可用的各向异性大应变存储能量耦合。即使一个公式是基于Sidoroff乘法分解的,而另一个公式是基于逆分解的,这两个公式之间的并行性是显而易见的。此外,对于中等大应变,各向异性超弹性和各向同性粘度的情况,我们表明在给定的示例中我们获得了相似的预测。

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