Coupling XFEM and peridynamics for brittle fracture simulation—part I: feasibility and effectiveness
Autor: | T. K. Papathanasiou, A.S. Fallah, Ilias N. Giannakeas, Hamid Bahai |
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Rok vydání: | 2020 |
Předmět: |
Technology
ADAPTIVE REFINEMENT Computational Mechanics FEM MESHES 02 engineering and technology 0915 Interdisciplinary Engineering 01 natural sciences DISCRETIZED PERIDYNAMICS 0203 mechanical engineering 530: Physik Crack propagation MESHFREE METHOD Applied Mathematics Fracture mechanics Structural engineering Grid Finite element method 010101 applied mathematics Nonlocal J integral Computational Mathematics 020303 mechanical engineering & transports Computational Theory and Mathematics Physical Sciences GROWTH XFEM peridynamics coupling DISCONTINUITIES 0913 Mechanical Engineering Mathematics Interdisciplinary Applications DYNAMIC CRACK-PROPAGATION Ocean Engineering Mechanics 0905 Civil Engineering Bond-based peridynamics Extended finite element method HORIZON GRIDS 0101 mathematics Coupling Commercial software Science & Technology Peridynamics business.industry Mechanical Engineering XFEM-PD coupling XFEM–PD coupling MODEL Fracture (geology) business Mathematics |
Zdroj: | Computational Mechanics. 66:103-122 |
ISSN: | 1432-0924 0178-7675 |
DOI: | 10.1007/s00466-020-01843-z |
Popis: | A peridynamics (PD)–extended finite element method (XFEM) coupling strategy for brittle fracture simulation is presented. The proposed methodology combines a small PD patch, restricted near the crack tip area, with the XFEM that captures the crack body geometry outside the domain of the localised PD grid. The feasibility and effectiveness of the proposed method on a Mode I crack opening problem is examined. The study focuses on comparisons of theJintegral values between the new coupling strategy, full PD grids and the commercial software Abaqus. It is demonstrated that the proposed approach outperforms full PD grids in terms of computational resources required to obtain a certain degree of accuracy. This finding promises significant computational savings when crack propagation problems are considered, as the efficiency of FEM and XFEM is combined with the inherent ability of PD to simulate fracture. |
Databáze: | OpenAIRE |
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