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Construction of peridynamic beam and shell models on the basis of the micro-beam bond obtained via interpolation method
European Journal of Mechanics - A/Solids ( IF 4.4 ) Pub Date : 2020-11-13 , DOI: 10.1016/j.euromechsol.2020.104174
Guozhe Shen , Yang Xia , Ping Hu , Guojun Zheng

Peridynamic (PD) theory is suitable for predicting structural damages, such as crack propagation and multiple crack growths. However, it is computationally more expensive than finite element method (FEM). Structural idealization is an useful method to improve computational efficiency, especially for complex structures. This study presents a new strategy for general PD beam and shell models on the basis of the micro-beam bond; in this strategy, the bond deformation is obtained directly through the interpolation method, the micro potential energy of the bond can be built, and the micro moduli of the beam and shell models can be solved spontaneously. The Euler beam and Kirchhoff plate theory are used for bending deformation in this study. Each endpoint of the micro-beam bond has three translational degrees of freedom (DOFs) and three rotational DOFs simultaneously. The force and displacement formulations of the micro-beam bond are completely similar to the FEM beam element, which is naturally suitable for the coupling of PD and FEM. Transversal deformation is captured accurately due to the high-order relationship with the transversal forces/moments and transversal displacements of the micro-beam bond. Moreover, no material parameters are limited in the model. Simulation results show the precision of the presented PD beam and shell models on the basis of the micro-beam bond.



中文翻译:

基于插值法获得的微束键建立动圈梁和壳模型

围动力学(PD)理论适用于预测结构损伤,例如裂纹扩展和多次裂纹扩展。但是,它在计算上比有限元方法(FEM)更昂贵。结构理想化是提高计算效率的有用方法,尤其是对于复杂结构。这项研究提出了一种基于微束键的通用PD梁和壳模型的新策略。在这种策略中,可以通过内插法直接获得键的变形,可以建立键的微势能,并且可以自发求解梁和壳模型的微模量。本研究采用欧拉梁和基尔霍夫板理论进行弯曲变形。微束键的每个端点同时具有三个平移自由度(DOF)和三个旋转DOF。微梁键的力和位移公式与FEM梁单元完全相似,它自然适用于PD和FEM的耦合。由于与微束键的横向力/力矩和横向位移的高阶关系,因此可以准确地捕获横向变形。而且,模型中没有材料参数的限制。仿真结果表明,所提出的PD梁和壳模型基于微束结合的精度。由于与微束键的横向力/力矩和横向位移的高阶关系,因此可以准确地捕获横向变形。而且,模型中没有材料参数的限制。仿真结果表明,所提出的PD梁和壳模型基于微束结合的精度。由于与微束键的横向力/力矩和横向位移的高阶关系,因此可以准确地捕获横向变形。而且,模型中没有材料参数的限制。仿真结果表明,所提出的PD梁和壳模型基于微束结合的精度。

更新日期:2020-11-22
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