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arXiv 1408.4655cond-mat.mtrl-sci
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用具有精细边界条件的代表性体积元评价单向短纤维增强材料的超弹性模型

Evaluation of hyperelastic models for unidirectional short fibre reinforced materials using a representative volume element with refined boundary conditions

N. Goldberg, H. Donner, J. Ihlemann

摘要:

用有限元法模拟短纤维增强结构需要了解材料在每个高斯点的特性。为了获得这样的信息,一个有代表性的体积元(RVE)包含单向短纤维进行了分析,在所提出的工作。研究结果被用来评估几个超弹性模型的适用性,考虑大变形下描述横向各向同性材料。由于RVE的平均响应表示宏观材料点处的均匀化行为,因此可以通过将材料模型的参数拟合到从RVE模拟获得的应力-应变曲线来识别材料模型的参数。周期性的边界条件的应用程序的RVE张量形式,使一个简单的访问,考虑倾斜的纤维和捕捉的纤维引起的各向异性。校准的材料模型与RVE的比较允许材料模型的适用性和质量的评估。建模和计算都是用商业有限元软件ABAQUS进行的。

英文摘要:

The simulation of a short fibre reinforced structure by means of the FEM requires the knowledge of the material behaviour at every Gauss point. In order to obtain such information, a representative volume element (RVE) containing unidirectional short fibres is analysed in the presented work. The findings are used to assess the applicability of several hyperelastic models describing transversal isotropic materials under consideration of large deformations. As the RVE's average response represents the homogenised behaviour at a macroscopic material point, the material models' parameters can be identified by fitting them to stress-strain curves obtained from simulations with the RVE. The application of periodic boundary conditions to the RVE in tensorial form enables a simple access to consider tilted fibres and catch the anisotropy induced by the fibres. The comparison of the calibrated material model with the RVE allows the assessment of the material model's applicability and quality. Both the modelling and the calculations are carried out with the commercial FEM software ABAQUS.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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