Phase field modeling of crack propagation

Spatschek, Robert; Brener, Efim A.

doi:10.1080/14786431003773015

Cited by 150 publications

(68 citation statements)

References 108 publications

(147 reference statements)

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“…The phase field method for fracture [6][7][8] is employed, where a scalar non-local damage variable, u, is introduced to track the transition between the initially undamaged (u ¼ 1) and fully damaged regions (u ¼ 0). The method is based on the variational theory of brittle fracture, 18 but is closely related to gradient models for brittle 19,20 and ductile 21 damage.…”

Section: Phase Field Modeling Of Fracturementioning

confidence: 99%

“…Combining both approaches hence enables investigation of the local stress and strain evolution based on concurrent evolution of plastic deformation, crystallographic re-orientation and damage-induced softening. [3][4][5] In this study, such an approach for coupling a crystal plasticity formulation with a phase field fracture model [6][7][8][9][10] is used to study the mechanical behavior of experimentally obtained microstructures. The approach presented here is implemented in the free Dü sseldorf Advanced Material Simulation Kit (DAMASK) 15 which is available as free and open source software.…”

Section: Introductionmentioning

confidence: 99%

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Coupled Crystal Plasticity–Phase Field Fracture Simulation Study on Damage Evolution Around a Void: Pore Shape Versus Crystallographic Orientation

Diehl

Wicke

Shanthraj

et al. 2017

JOM

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Various mechanisms such as anisotropic plastic flow, damage nucleation, and crack propagation govern the overall mechanical response of structural materials. Understanding how these mechanisms interact, i.e. if they amplify mutually or compete with each other, is an essential prerequisite for the design of improved alloys. This study shows-by using the free and open source software DAMASK (the Dü sseldorf Advanced Material Simulation Kit)-how the coupling of crystal plasticity and phase field fracture methods can increase the understanding of the complex interplay between crystallographic orientation and the geometry of a void. To this end, crack initiation and propagation around an experimentally obtained pore with complex shape is investigated and compared to the situation of a simplified spherical void. Three different crystallographic orientations of the aluminum matrix hosting the defects are considered. It is shown that crack initiation and propagation depend in a non-trivial way on crystallographic orientation and its associated plastic behavior as well as on the shape of the pore.

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Section: Phase Field Modeling Of Fracturementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Coupled Crystal Plasticity–Phase Field Fracture Simulation Study on Damage Evolution Around a Void: Pore Shape Versus Crystallographic Orientation

Diehl

Wicke

Shanthraj

et al. 2017

JOM

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“…During the past years, phase field modeling has emerged as a promising approach to model crack propagation by continuum methods (see [26] for a recent review). This method is especially advantageous due to its high versality to study quite complicated crack patterns as well as multicrack situations [55].…”

Section: B Phase Field Modeling Of Fracturementioning

confidence: 99%

“…The past years have seen intense activities in phase field modeling of crack propagation (see [26] for a recent review) and of defects in general [27].…”

Section: Introductionmentioning

confidence: 99%

Brittle fracture in viscoelastic materials as a pattern-formation process

et al. 2011

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A continuum model of crack propagation in brittle viscoelastic materials is presented and discussed. Thereby, the phenomenon of fracture is understood as an elastically induced nonequilibrium interfacial pattern formation process. In this spirit, a full description of a propagating crack provides the determination of the entire time dependent shape of the crack surface, which is assumed to be extended over a finite and self-consistently selected length scale. The mechanism of crack propagation, that is, the motion of the crack surface, is then determined through linear nonequilibrium transport equations. Here we consider two different mechanisms, a first-order phase transformation and surface diffusion. We give scaling arguments showing that steady-state solutions with a self-consistently selected propagation velocity and crack shape can exist provided that elastodynamic or viscoelastic effects are taken into account, whereas static elasticity alone is not sufficient. In this respect, inertial effects as well as viscous damping are identified to be sufficient crack tip selection mechanisms. Exploring the arising description of brittle fracture numerically, we study steady-state crack propagation in the viscoelastic and inertia limit as well as in an intermediate regime, where both effects are important. The arising free boundary problems are solved by phase field methods and a sharp interface approach using a multipole expansion technique. Different types of loading, mode I, mode III fracture, as well as mixtures of them, are discussed.

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“…Multi-phase field models are a powerful method to simulate complex microstructure evolution and interfacial pattern formation processes in a wide range of applications [1,2,3,4,5]. Whereas the role of isolated interfaces both in equilibrium and non-equilibrium is well understood, there is still a lack of understanding of the interaction of interfaces.…”

Section: Introductionmentioning

confidence: 99%

Phase-field modeling of grain-boundary premelting using obstacle potentials

Bhogireddy

Hüter²,

Neugebauer³

et al. 2014

Phys. Rev. E

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We investigate the multi-order parameter phase field model of Steinbach and Pezzolla [I. Steinbach, F. Pezzolla, A generalized field method for multiphase transformations using interface fields, Physica D 134 (1999) 385-393] concerning its ability to describe grain boundary premelting. For a single order parameter situation solid-melt interfaces are always attractive, which allows to have (unstable) equilibrium solid-melt-solid coexistence above the bulk melting point. The temperature dependent melt layer thickness and the disjoining potential, which describe the interface interaction, are affected by the choice of the thermal coupling function and the measure to define the amount of the liquid phase. Due to the strictly finite interface thickness also the interaction range is finite. For a multi-order parameter model we find either purely attractive or purely repulsive finite-ranged interactions. The premelting transition is then directly linked to the ratio of the grain boundary and solid-melt interfacial energy.

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Phase field modeling of crack propagation

Cited by 150 publications

References 108 publications

Coupled Crystal Plasticity–Phase Field Fracture Simulation Study on Damage Evolution Around a Void: Pore Shape Versus Crystallographic Orientation

Coupled Crystal Plasticity–Phase Field Fracture Simulation Study on Damage Evolution Around a Void: Pore Shape Versus Crystallographic Orientation

Brittle fracture in viscoelastic materials as a pattern-formation process

Phase-field modeling of grain-boundary premelting using obstacle potentials

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