A comparative accuracy and convergence study of eigenerosion and phase-field models of fracture
| Autor: | Michael Ortiz, Kerstin Weinberg, Anna Pandolfi |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Discretization
Mechanical Engineering Computation Accuracy and convergence Linear elasticity Finite elements Computational Mechanics General Physics and Astronomy Bilinear interpolation Boundary (topology) Richardson extrapolation Numerical Analysis (math.NA) Eigenerosion Computer Science Applications 74-10 74S10 74R10 Rate of convergence Mechanics of Materials Convergence (routing) FOS: Mathematics Phase-field fracture Applied mathematics Computational cost Mathematics - Numerical Analysis Griffith fracture Mathematics |
| Popis: | We compare the accuracy, convergence rate and computational cost of eigenerosion (EE) and phase-field (PF) methods. For purposes of comparison, we specifically consider the standard test case of a center-crack panel loaded in biaxial tension and assess the convergence of the energy error as the length scale parameter and mesh size tend to zero simultaneously. The panel is discretized by means of a regular mesh consisting of standard bilinear or Q1 elements. The exact stresses from the known analytical linear elastic solution are applied to the boundary. All element integrals over the interior and the boundary of the domain are evaluated exactly using the symbolic computation program Mathematica. When the EE inelastic energy is enhanced by means of Richardson extrapolation, EE is found to converge at twice the rate of PF and to exhibit much better accuracy. In addition, EE affords a one-order-of-magnitude computational speed-up over PF. 20 pages, 6 figures |
| Databáze: | OpenAIRE |
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