Coupling of FEM meshes with Peridynamic grids

• Published in: Computer methods in applied mechanics and engineering Vol. 330; pp. 471 - 497
• Main Authors: Zaccariotto, Mirco, Mudric, Teo, Tomasi, Davide, Shojaei, Arman, Galvanetto, Ugo
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.03.2018; Elsevier BV
• Subjects: Adaptive algorithms; Algorithms; Coupling; Crack propagation; Finite element analysis; Finite Element Method; Peridynamics; Switching; Peridynamics; Coupling; Finite Element Method; Switching; Crack propagation
• ISSN: 0045-7825; 1879-2138
• DOI: 10.1016/j.cma.2017.11.011

The paper presents an effective and accurate way to couple FEM meshes to peridynamic grids and uses it to solve 1D, 2D and 3D problems in static and dynamic conditions. Crack propagation with crack branching problems is also solved. An adaptive algorithm is presented which allows to transform FEM nodes into peridynamic nodes. In this way a new computational technique is produced which equips standard FEM with the capability to effectively and efficiently describe 3D problems with crack propagation phenomena. •Innovative strategy to couple Peridynamics (PD) grids with the Finite Element Method.•No arbitrary choice or tuning of parameters or blending functions are required.•The method has been applied to 1D, 2D and 3D problems in static and dynamic conditions.•The new method can be easily implemented in commercial FEM software.•The presented coupling method is a solution to the “surface problem” of PD.