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A novel peridynamic model enriched with the rotation effects of material points
Engineering Analysis With Boundary Elements ( IF 4.2 ) Pub Date : 2021-11-18 , DOI: 10.1016/j.enganabound.2021.11.006
Xiaoping Zhou 1 , Jianxiang Ma 1
Affiliation  

Combining the nonlocal properties of peridynamics and the viewpoint of material point rotation, a novel peridynamic model enriched with the rotation effects of material points is proposed. By considering the rotation of material points, the concept of rotational micropotential is introduced into this proposed peridynamic model. On this basis, the translational and rotational governing equations of material points obtained by the Lagrangian equation are proven to satisfy the conservation of linear momentum and angular momentum. Based on the linear assumption, the parameters of the novel peridynamic model with rotation effects of material points are calibrated, and its validity is verified. It can be seen from the numerical results that the limitation problem of Poisson's ratio can be effectively solved by the proposed peridynamic model. Compared with the traditional micropolar peridynamic model (MPPD), the proposed model directly decomposes the motion of material points into translation and rotation and does not need to introduce the shear modulus. This makes the mathematical formula more concise and the numerical calculations more efficient.



中文翻译:

一种新的近场动力学模型,丰富了物质点的旋转效应

结合近场动力学的非局域性质和物质点旋转的观点,提出了一种新的、富含物质点旋转效应的近场动力学模型。通过考虑物质点的旋转,旋转微势的概念被引入到这个提议的近场动力学模型中。在此基础上,证明了由拉格朗日方程得到的质点平移和旋转控制方程满足线动量和角动量守恒。基于线性假设,对具有物质点旋转效应的新型近场动力学模型参数进行了标定,并验证了其有效性。从数值结果可以看出,提出的近场动力学模型可以有效解决泊松比的限制问题。与传统的微极近场动力学模型(MPPD)相比,该模型直接将物质点的运动分解为平移和旋转,无需引入剪切模量。这使得数学公式更加简洁,数值计算更加高效。

更新日期:2021-11-19
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