Micromorphic approach to single crystal plasticity and damage

Aslan, Özgür; Cordero, Nicolás; Gaubert, Anaïs; Forest, Samuel

doi:10.1016/j.ijengsci.2011.03.008

Cited by 110 publications

(46 citation statements)

References 33 publications

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“…Nedjar [28]), as well assuming large deformation (c.f. Aslan et al [29], Saanouni and Hamed [30], and references cited therein), have been previously published in the literature.…”

Section: Introductionmentioning

confidence: 99%

A phase-field/gradient damage model for brittle fracture in elastic–plastic solids

Duda

Ciarbonetti

Sánchez

et al. 2015

International Journal of Plasticity

211

106

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The formulation of a phase-field continuum theory for brittle fracture in elastic-plastic solids and its computational implementation are presented in this contribution. The theory is based on a virtual-power formulation in which two additional and independent kinematical descriptors are introduced, namely the phase-field and the accumulated plastic strain. Further, it incorporates irreversibility of both phase-field and plastic strain evolutions by introducing suitable constraints and by carefully heeding the influence of those constraints on the kinetics underlying microstructural changes associated with plasticity and fracture.The numerical implementation employs the finite-element method for spatial discretization and a splitting scheme with sub-stepping for the time integration. To illustrate its potential utility, we apply the model to a number of well known linear, as well as non-linear, fracture mechanics problems.The described phase-field model, coupled with plasticity, provides a feasible technique to analyzing crack initiation and the subsequent crack growth resistance only if the length scale parameter included in the phase-field model is finite and treated as a material parameter which should be properly characterized.

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“…Nedjar [28]), as well assuming large deformation (c.f. Aslan et al [29], Saanouni and Hamed [30], and references cited therein), have been previously published in the literature.…”

Section: Introductionmentioning

confidence: 99%

A phase-field/gradient damage model for brittle fracture in elastic–plastic solids

Duda

Ciarbonetti

Sánchez

et al. 2015

International Journal of Plasticity

211

106

View full text Add to dashboard Cite

show abstract

“…They found a strong dependence of the crack nucleation and growth on the microstructural features. In Aslan et al (2011), a micromorphic approach was developed for the modelling of gradient plasticity and damage in single crystals. The total damage consists of a cleavage and two shear components in the slip plane corresponding to mode I, II and III crack growth.…”

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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“…With four screws and 24 edges, the nominal number is N T (N T + 1)/2 = 406. 6. Computation of the size-dependent energy by coarsening the discrete dislocation energies…”

Section: (B) Bcc Slip Systemsmentioning

confidence: 99%

“…In addition to the theories directly concerned with plasticity of crystals, some generalized continua inspired by early works in polar or micromorphic continua, [3,4] such as the microcurl theory [5,6], include the size-dependent crystal plasticity, as a special case. Finally, the special class of dynamical theories, statistical continuum dislocation dynamics (SCDD), is under development [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Size-dependent energy in crystal plasticity and continuum dislocation models

2015

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International audienceIn the light of recent progress in coarsening the discrete dislocation mechanics, we consider two questions relevant for the development of a mesoscale, size-dependent plasticity: (i) can the phenomenological expression for size-dependent energy, as quadratic form of Nye's dislocation density tensor, be justified from the point of view of dislocation mechanics and under what conditions? (ii) how can physical or phenomenological expressions for size-dependent energy be computed from dislocation mechanics in the general case of elastically anisotropic crystal? The analysis based on material and slip system symmetries implies the negative answer to the first question. However, the coarsening method developed in response to the second question, and based on the physical interpretation of the size-dependent energy as the coarsening error in dislocation interaction energy, introduces additional symmetries. The result is that the equivalence between the phenomenological and the physical expressions is possible, but only if the multiplicity of characteristic lengths associated with different slip systems, is sacrificed. Finally, we discuss the consequences of the assumption that a single length scale governs the plasticity of a crystal, and note that the plastic dissipation at interfaces has a strong dependence on the length scale embedded in the energy expression

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Micromorphic approach to single crystal plasticity and damage

Cited by 110 publications

References 33 publications

A phase-field/gradient damage model for brittle fracture in elastic–plastic solids

A phase-field/gradient damage model for brittle fracture in elastic–plastic solids

Phase‐field modelling of fracture in single crystal plasticity

Size-dependent energy in crystal plasticity and continuum dislocation models

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