A viscoelastic model for fiber-reinforced composites at finite strains: Continuum basis, computational aspects and applications
A viscoelastic model for fiber-reinforced composites at finite strains: Continuum basis, computational aspects and applications
复制标题
DOI：
10.1016/s0045-7825(00)00323-6
复制
发表时间：
2001-01-01
影响因子：
7.2
通讯作者：
Gasser, TC
中科院分区：
文献类型：
--
作者：
Holzapfel, GA;Gasser, TC
本文提出了一种用于经历有限应变的纤维增强复合材料的全三维应力和变形响应的粘弹模型。复合材料被认为是由两族纤维增强的（软）基体材料，因此复合材料的机械性能取决于两个纤维方向。复合材料的每种化合物的松弛和/或蠕变响应分别建模，并且通过所有贡献的组装获得全局响应。我们开发了新的封闭形式的表达四阶弹性张紧（正切模量）在充分的一般性。正交各向异性，横观各向同性和各向同性超弹性材料在有限应变耗散或不耗散的本构模型包括作为特殊情况。为了清楚地表明本构模型的良好性能，我们提出了三维和二维数值模拟的加压层压圆管，这表明了一个有趣的“拉伸反转现象”在低压域。数值计算结果与实验数据定性一致，并以令人满意的精度近似观察到的强各向异性的物理响应。第三个数值例子的目的是说明各向异性拉伸过程中的纤维增强橡胶棒和随后的松弛行为在有限应变。材料参数的选择，使热力学平衡与已知的均匀变形状态。(C)2001 Elsevier Science B. V.保留所有权利。
This paper presents a viscoelastic model for the fully three-dimensional stress and deformation response of fiber-reinforced composites that experience finite strains. The composites are thought to be (soft) matrix materials which are reinforced by two families of fibers so that the mechanical properties of the composites depend on two fiber directions. The relaxation and/or creep response of each compound of the composite is modeled separately and the global response is obtained by an assembly of all contributions. We develop novel closed-form expressions for the fourth-order elasticity tenser (tangent moduli) in full generality. Constitutive models for orthotropic, transversely isotropic and isotropic hyperelastic materials at finite strains with or without dissipation are included as special cases. In order to clearly show the good performance of the constitutive model, we present 3D and 2D numerical simulations of a pressurized laminated circular tube which shows an interesting 'stretch inversion phenomenon' in the low pressure domain. Numerical results are in good qualitative agreement with experimental data and approximate the observed strongly anisotropic physical response with satisfying accuracy. A third numerical example is designed to illustrate the anisotropic stretching process of a fiber-reinforced rubber bar and the subsequent relaxation behavior at finite strains. The material parameters are chosen so that thermodynamic equilibrium is associated with the known homogeneous deformation state. (C) 2001 Elsevier Science B.V. All rights reserved.