A physically-based constitutive model for anisotropic damage in rubber-toughened glassy polymers during finite deformation
A physically-based constitutive model for anisotropic damage in rubber-toughened glassy polymers during finite deformation
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DOI：
10.1016/j.ijplas.2010.03.007
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发表时间：
2011
影响因子：
9.8
通讯作者：
F. Zaïri;M. Nait-Abdelaziz;J. Gloaguen;J. Lefebvre
中科院分区：
文献类型：
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作者：
F. Zaïri;M. Nait-Abdelaziz;J. Gloaguen;J. Lefebvre
本工作的重点是发展一个基于物理的模型，在橡胶增韧玻璃态聚合物的大变形应力应变响应和各向异性损伤。在橡胶增韧玻璃态聚合物的微观结构的演变（关于空化，空隙纵横比，基体塑性各向异性和橡胶相变形）的主要特点，在建议的本构模型中引入。玻璃态聚合物基体的本构响应采用博伊斯等人（1988，2000）的超弹性-粘塑性模型进行建模。的基体材料的变形机制占两个电阻：平行作用的粘-超弹性各向异性网络电阻的弹性-粘塑性各向同性的分子间电阻，每个电阻被修改，以考虑损坏的影响，由空隙生长的空隙纵横比的变化。超弹性颗粒的整体复合材料的行为的有效贡献被考虑到通过处理在一个复合计划框架的整体系统。所提出的本构模型的能力进行了检查，通过比较实验数据与数值模拟。实验研究了橡胶增韧聚甲基丙烯酸甲酯在80°C温度下拉伸时的变形行为，并通过视频控制技术监测了不同的恒定真应变速率。增强相为软核-硬壳型，其直径为一百纳米量级。以5%的增量将颗粒体积分数从15%调节至45%。的应力应变响应和非弹性体积应变被发现显着依赖于颗粒的体积分数。在较宽的橡胶体积分数范围内，模型模拟结果与实验结果吻合较好。最后，参数分析证明了考虑空隙形状、基质塑性各向异性和橡胶含量的重要性。
The present work focuses on the development of a physically-based model for large deformation stress–strain response and anisotropic damage in rubber-toughened glassy polymers. The main features leading to a microstructural evolution (regarding cavitation, void aspect ratio, matrix plastic anisotropy and rubbery phase deformation) in rubber-toughened glassy polymers are introduced in the proposed constitutive model. The constitutive response of the glassy polymer matrix is modelled using the hyperelastic–viscoplastic model of Boyce et al. (1988, 2000). The deformation mechanisms of the matrix material are accounted for by two resistances: an elastic–viscoplastic isotropic intermolecular resistance acting in parallel with a visco-hyperelastic anisotropic network resistance, each resistance being modified to account for damage effects by void growth with a variation of the void aspect ratio. The effective contribution of the hyperelastic particles to the overall composite behaviour is taken into account by treating the overall system in a composite scheme framework. The capabilities of the proposed constitutive model are checked by comparing experimental data with numerical simulations. The deformation behaviour of rubber-toughened poly(methyl methacrylate) was investigated experimentally in tension at a temperature of 80°C and for different constant true strain rates monitored by a video-controlled technique. The reinforcing phase is of the soft core–hard shell type and its diameter is of the order of one hundred nanometers. The particle volume fraction was adjusted from 15% to 45% by increments of 5%. The stress–strain response and the inelastic volumetric strain are found to depend markedly on particle volume fraction. For a wide range of rubber volume fractions, the model simulations are in good agreement with the experimental results. Finally, a parametric analysis demonstrates the importance of accounting for void shape, matrix plastic anisotropy and rubber content.