A model framework for anisotropic damage coupled to crystal (visco)plasticity

Ekh, Magnus; Lillbacka, Robert; Runesson, Kenneth

doi:10.1016/j.ijplas.2004.04.007

Cited by 62 publications

(26 citation statements)

References 22 publications

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“…An anisotropic damage model coupled to crystal viscoplasticity was proposed in Ekh et al (2004). The authors associated damage to each individual slip system based on experimental results for duplex stainless steel, where the initiation and the propagation of microcracks were found to follow the orientation of the slip planes.…”

Section: Introductionmentioning

confidence: 99%

Phase‐field modelling of fracture in single crystal plasticity

2016

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We propose a phase-field model for ductile fracture in a single crystal within the kinematically linear regime, by combining the theory of single crystal plasticity as formulated in Gurtin et al. (2010) and the phase-field formulation for ductile fracture proposed by Ambati et al. (2015) . The model introduces coupling between plasticity and fracture through the dependency of the so-called degradation function from a scalar global measure of the accumulated plastic strain on all slip systems. A viscous regularization is introduced both in the treatment of plasticity and in the phase-field evolution equation. Testing of the model on two examples for face centred cubic single crystals indicates that fracture is predicted to initiate and develop in the regions of the maximum accumulated plastic strain, which is in agreement with phenomenological observations. A rotation of the crystallographic unit cell is shown to affect the test results in terms of failure pattern and corresponding global and local response.

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Section: Introductionmentioning

confidence: 99%

Phase‐field modelling of fracture in single crystal plasticity

2016

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“…Crystal plasticity is used for modeling the material behavior on the subscale (within each grain), c.f. Miehe et al [2] and Ekh et al [13]. The material parameter values have been determined via calibrations using both cyclic and monotonic uniaxial tensile test data for DSS, cf.…”

Section: Modeling Assumptionsmentioning

confidence: 99%

On the adaptive use of the Taylor assumption in computational homogenization of thin metal sheets

Larsson

Lillbacka²,

Runesson

2009

Int J Mater Form

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A strategy for macroscale modeling adaptivity in fully nested two-scale computational (first order) homogenization based on assumed scale separation is proposed. The Representative Volume Element (RVE) for a quite complex substructure pertinent to Duplex Stainless Steel (DSS) is considered, whereby crystal plasticity is adopted for the subscale material modeling. The choice of the pertinent prolongation condition defining the deformation mapping from the macroto the subscale is the sole source of model error discussed here. Two common choices are (in hierarchical order): (1) "simplified" model based on homogeneous (macroscale) deformation within the RVE, i.e., the Taylor assumption, (2) "reference" model employing Dirichlet boundary conditions on the RVE.

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“…Discussions about how to couple damage and elasto-plasticity, and different type of the models describing anisotropic as well as isotropic damage, can be found in [1], [2], [11], [7] . Models, involving stress like damage variables can be found in the papers by [9], and by Lubarda si Krajcinovic, [10].…”

Section: Evolution Equations For Irre-versible Behaviourmentioning

confidence: 99%

Modeling damage in finite elasto-plasticity

Cleja-Ţigoiu

2008

Int J Mater Form

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In this paper we describe models of damaged materials within the constitutive framework of finite, multiplicative elasto-plasticity. The anisotropic damage is characterized by a second order invertible tensor, F d − the damage deformation tensor, whose existence is related to an undamaged (fictitious) stress free configuration. The existence of the damage deformation tensor leads to a modified multiplicative decomposition of the deformation gradient F = F e F d F p , where the plastic part of deformation F p can only affect the undamaged material structure. The behavior of the material is elastic and dependent on the damage deformation tensor F d , and we adopt the concepts of damage surface and yield surface to describe the irreversible behaviour by the appropriate evolution equations.

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A model framework for anisotropic damage coupled to crystal (visco)plasticity

Cited by 62 publications

References 22 publications

Phase‐field modelling of fracture in single crystal plasticity

Phase‐field modelling of fracture in single crystal plasticity

On the adaptive use of the Taylor assumption in computational homogenization of thin metal sheets

Modeling damage in finite elasto-plasticity

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