论文标题
有限非弹性的非植物纤维重新定位
Non-affine fiber reorientation in finite inelasticity
论文作者
论文摘要
本文介绍了一个模型，用于经历大型非弹性变形的各向异性软材料的机械响应。该复合材料由用刚性纤维增强的软性各向同性基质组成，可以彼此独立发展。根据自由能密度和耗散密度，提供了本构方程，这两者都必须在热力学上保持一致，并且在结构上是框架的强度，即它们必须独立于在自然状态上旋转过度旋转。这与许多目前使用的无弹性模型相反，这些模型用于软纤维增强的材料，这些模型无法处理自然状态的独特性。引入了基质的非弹性自旋与纤维的旋转自旋之间的约束，以完全确定自然状态。非弹性过程的产生流量规则结合了一些典型的情况，包括粘弹性和增长。
This paper introduces a model for the mechanical response of anisotropic soft materials undergoing large inelastic deformations. The composite is constituted by a soft isotropic matrix reinforced with stiff fibres, that can evolve independently from each other. The constitutive equations are provided in terms of the free energy density and the dissipation density which are both required to be thermodynamically consistent and structurally frame-indifferent, i.e., they must be independent of a rotation overimposed on the natural state. This is in contrast to many of the currently used inelastic models for soft fiber-reinforced materials which do not deal with the lack of uniqueness of the natural state. A constraint between the inelastic spin of the matrix and the rotation spin of the fibre is introduced to fully determined the natural state. The resulting flow rules of the inelastic processes incorporate some typical scenarios including viscoelasticity and growth.
