Phase-field model of mode III dynamic fracture
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A phenomenological continuum model for the mode III dynamic fracture that is based on the phase-field methodology used extensively to model interfacial pattern formation is introduced and two-dimensional simulations that yield steady-state crack motion in a strip geometry above the Griffith threshold are reported.Abstract:
We introduce a phenomenological continuum model for the mode III dynamic fracture that is based on the phase-field methodology used extensively to model interfacial pattern formation. We couple a scalar field, which distinguishes between "broken" and "unbroken" states of the system, to the displacement field in a way that consistently includes both macroscopic elasticity and a simple rotationally invariant short-scale description of breaking. We report two-dimensional simulations that yield steady-state crack motion in a strip geometry above the Griffith threshold.read more
Citations
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Phase-Field Models for Microstructure Evolution
TL;DR: The phase-field method has recently emerged as a powerful computational approach to modeling and predicting mesoscale morphological and microstructure evolution in materials as discussed by the authors, which is able to predict the evolution of arbitrary morphologies and complex microstructures without explicitly tracking the positions of interfaces.
Journal ArticleDOI
A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
TL;DR: In this paper, a variational framework for rate-independent diffusive fracture was proposed based on the introduction of a local history field, which contains a maximum reference energy obtained in the deformation history, which may be considered as a measure for the maximum tensile strain obtained in history.
Journal ArticleDOI
Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations
TL;DR: In this article, a thermodynamically consistent framework for phase-field models of crack propagation in elastic solids, developed incremental variational principles and considering their numerical implementations by multi-field finite element methods is presented.
Journal ArticleDOI
A phase-field description of dynamic brittle fracture
TL;DR: It is shown that the combination of the phase-field model and local adaptive refinement provides an effective method for simulating fracture in three dimensions.
Thermodynamically-Consistent Phase Field Models of Fracture: Variational Principles and Multi-Field
TL;DR: In this paper, a thermodynamically consistent framework for phase field models of crack propagation in elastic solids, developed incremental variational principles and considered their numerical implementations by multi- field finite element methods.
References
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Book
Numerical Recipes in C: The Art of Scientific Computing
TL;DR: Numerical Recipes: The Art of Scientific Computing as discussed by the authors is a complete text and reference book on scientific computing with over 100 new routines (now well over 300 in all), plus upgraded versions of many of the original routines, with many new topics presented at the same accessible level.
Book
Cracks and Fracture
TL;DR: Cracks and Fracture as discussed by the authors consists of nine chapters in logical sequence, including two introductory chapters, physical processes in the vicinity of the crack edge are discussed and the fracture process is described.