Details
| Original language | English |
|---|---|
| Article number | 6635 |
| Pages (from-to) | 367-379 |
| Number of pages | 13 |
| Journal | Computational materials science |
| Volume | 109 |
| Publication status | Published - 11 Aug 2015 |
Abstract
Abstract In this work, we consider a phase-field framework for crack propagation problems in elasticity and elasto-plasticity. We propose a rate-dependent formulation for solving the elasto-plastic problem. An irreversibility constraint for crack evolution avoids non-physical healing of the crack. The resulting coupled two-field problem is solved in a decoupled fashion within an augmented Lagrangian approach, where the latter technique treats the crack irreversibility constraint. The setting is quasi-static and an incremental formulation is considered for temporal discretization. Spatial discretized is based on a Galerkin finite element method. Both subproblems of the two-field problem are nonlinear and are solved with a robust Newton method in which the Jacobian is built in terms of analytically derived derivatives. Our algorithmic developments are demonstrated with several numerical tests that are motivated by experiments that study failure of screws under loading. Therefore, these tests are useful in practice and of high relevance in mechanical engineering. The geometry and material parameters correspond to realistic measurements. Our goal is a comparison of the final crack pattern in simulation and experiment.
Keywords
- Augmented Lagrangian, Elasto-plasticity, Finite elements, Phase-field, Screw material failure
ASJC Scopus subject areas
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In: Computational materials science, Vol. 109, 6635, 11.08.2015, p. 367-379.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Numerical simulations of crack propagation in screws with phase-field modeling
AU - Wick, D.
AU - Wick, T.
AU - Hellmig, R. J.
AU - Christ, H. J.
N1 - Publisher Copyright: © 2015 Elsevier B.V. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2015/8/11
Y1 - 2015/8/11
N2 - Abstract In this work, we consider a phase-field framework for crack propagation problems in elasticity and elasto-plasticity. We propose a rate-dependent formulation for solving the elasto-plastic problem. An irreversibility constraint for crack evolution avoids non-physical healing of the crack. The resulting coupled two-field problem is solved in a decoupled fashion within an augmented Lagrangian approach, where the latter technique treats the crack irreversibility constraint. The setting is quasi-static and an incremental formulation is considered for temporal discretization. Spatial discretized is based on a Galerkin finite element method. Both subproblems of the two-field problem are nonlinear and are solved with a robust Newton method in which the Jacobian is built in terms of analytically derived derivatives. Our algorithmic developments are demonstrated with several numerical tests that are motivated by experiments that study failure of screws under loading. Therefore, these tests are useful in practice and of high relevance in mechanical engineering. The geometry and material parameters correspond to realistic measurements. Our goal is a comparison of the final crack pattern in simulation and experiment.
AB - Abstract In this work, we consider a phase-field framework for crack propagation problems in elasticity and elasto-plasticity. We propose a rate-dependent formulation for solving the elasto-plastic problem. An irreversibility constraint for crack evolution avoids non-physical healing of the crack. The resulting coupled two-field problem is solved in a decoupled fashion within an augmented Lagrangian approach, where the latter technique treats the crack irreversibility constraint. The setting is quasi-static and an incremental formulation is considered for temporal discretization. Spatial discretized is based on a Galerkin finite element method. Both subproblems of the two-field problem are nonlinear and are solved with a robust Newton method in which the Jacobian is built in terms of analytically derived derivatives. Our algorithmic developments are demonstrated with several numerical tests that are motivated by experiments that study failure of screws under loading. Therefore, these tests are useful in practice and of high relevance in mechanical engineering. The geometry and material parameters correspond to realistic measurements. Our goal is a comparison of the final crack pattern in simulation and experiment.
KW - Augmented Lagrangian
KW - Elasto-plasticity
KW - Finite elements
KW - Phase-field
KW - Screw material failure
UR - http://www.scopus.com/inward/record.url?scp=84938775352&partnerID=8YFLogxK
U2 - 10.1016/j.commatsci.2015.07.034
DO - 10.1016/j.commatsci.2015.07.034
M3 - Article
AN - SCOPUS:84938775352
VL - 109
SP - 367
EP - 379
JO - Computational materials science
JF - Computational materials science
SN - 0927-0256
M1 - 6635
ER -