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Homogenization of periodic microstructure based on representative volume element using improved bond-based peridynamics
Engineering Analysis With Boundary Elements ( IF 4.2 ) Pub Date : 2022-06-23 , DOI: 10.1016/j.enganabound.2022.06.005
Jiabao Li , Qing Wang , Xinfei Li , Lei Ju , Yiheng Zhang

In this paper, a homogenization method based on peridynamics is proposed, in which the rotation effect of bond is considered and the limitation of Poisson's ratio is overcome. Integral form is used as governing equation instead of differential form in peridynamics, so that it is suitable to conduct homogenization analysis involving defects. Two algorithms, general algorithm and simplified algorithm, are used to homogenize periodic materials in this study. Equivalent material properties are obtained from the displacement gradient tensor. The results are in good agreement with those of other homogenization methods. This method can also be applied to homogenize periodic materials with defects. The defects such as cracks and pores of materials are realized by breaking the bonds between material points. Through this study, a new method for calculating the equivalent properties of materials with defects can be provided.



中文翻译:

使用改进的基于键的近场动力学基于代表性体积元的周期性微观结构的均匀化

本文提出了一种基于近场动力学的均质化方法,该方法考虑了键的旋转效应,克服了泊松比的限制。近场动力学中使用积分形式代替微分形式作为控制方程,因此适合进行涉及缺陷的均匀化分析。本研究采用通用算法和简化算法两种算法对周期性材料进行均匀化。从位移梯度张量获得等效的材料属性。结果与其他均质化方法的结果非常吻合。该方法也可用于均匀化具有缺陷的周期性材料。材料的裂纹、气孔等缺陷是通过破坏材料点之间的键来实现的。通过这项研究,

更新日期:2022-06-25
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