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
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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