Fei Han^1,*, Zhibin Li¹, Jianyu Zhang¹, Zhiying Liu¹, Chen Yao¹, Wenping Han¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.3, pp. 1-1, 2023, DOI:10.32604/icces.2023.09023

Abstract The classical finite element method has been successfully applied to many engineering problems but not to cases with space discontinuity. A peridynamics-based finite element method (PeriFEM) is presented according to the principle of minimum potential energy, which enables discontinuity. First, the integral domain of peridynamics is reconstructed, and a new type of element called peridynamic element (PE) is defined. Although PEs are generated by the continuous elements (CEs) of classical FEM, they do not affect each other. Then, spatial discretization is performed based on PEs and CEs, and the linear equations about nodal displacement are… More >

Fei Han^*, Zhibin Li, Jianyu Zhang, Zhiying Liu, Chen Yao, Wenping Han

CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.3, pp. 2715-2740, 2023, DOI:10.32604/cmes.2023.026922 - 09 March 2023

Abstract In this study, we propose the first unified implementation strategy for peridynamics in commercial finite element method (FEM) software packages based on their application programming interface using the peridynamics-based finite element method (PeriFEM). Using ANSYS and ABAQUS as examples, we present the numerical results and implementation details of PeriFEM in commercial FEM software. PeriFEM is a reformulation of the traditional FEM for solving peridynamic equations numerically. It is considered that the non-local features of peridynamics yet possesses the same computational framework as the traditional FEM. Therefore, this implementation benefits from the consistent computational frameworks of… More >