Dynamic crystal plasticity: An Eulerian approach

Cazacu, Oana; Ionescu, Ioan R.

doi:10.1016/j.jmps.2010.04.001

Cited by 12 publications

(12 citation statements)

References 35 publications

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“…It is also worth of noticing that if we add third slip system perpendicular to the compression axis (α 3 0 = α 0 + π/2), the third slip system is almost inactive. For similar studies we refer to [9].…”

Section: Non-symmetric Double Slipmentioning

confidence: 99%

“…For similar computational studies we refer to [9] where the authors considered a rigid-plastic model with 3 slip systems and the initial orientation of 0.417 rad.…”

Section: Non-symmetric Double Slipmentioning

confidence: 99%

“…[8]. The Eulerian approach has been employed for a rigid-plastic model in a recent paper [9] with emphasis on dynamical problems. While the Eulerian formulation is very well suited for flow-like problems, as for example an equal channel angular extrusion experiment [10], in the case of a simple compression we deal with a free boundary problem.…”

Section: Introductionmentioning

confidence: 99%

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Plastic deformation treated as material flow through adjustable crystal lattice

Minakowski

Hron

Kratochvı́l

et al. 2014

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract.Looking at severe plastic deformation experiments, it seems that crystalline materials at yield behave as a special kind of anisotropic, highly viscous fluids flowing through an adjustable crystal lattice space. High viscosity provides a possibility to describe the flow as a quasi-static process, where inertial and other body forces can be neglected. The flow through the lattice space is restricted to preferred crystallographic planes and directions causing anisotropy. In the deformation process the lattice is strained and rotated. The proposed model is based on the rate form of the decomposition rule: the velocity gradient consists of the lattice velocity gradient and the sum of the velocity gradients corresponding to the slip rates of individual slip systems. The proposed crystal plasticity model allowing for large deformations is treated as the flow-adjusted boundary value problem. As a test example we analyze a plastic flow of an single crystal compressed in a channel die. We propose three step algorithm of finite element discretization for a numerical solution in the Arbitrary Lagrangian Eulerian (ALE) configuration.

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Section: Non-symmetric Double Slipmentioning

confidence: 99%

“…For similar computational studies we refer to [9] where the authors considered a rigid-plastic model with 3 slip systems and the initial orientation of 0.417 rad.…”

Section: Non-symmetric Double Slipmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Plastic deformation treated as material flow through adjustable crystal lattice

Minakowski

Hron

Kratochvı́l

et al. 2014

IOP Conf. Ser.: Mater. Sci. Eng.

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“…In the literature, such methods have been applied to various problems including high-speed impacts and penetration of steel, 19 explosive welding of aluminum, 20 high-speed machining of steel, 21 stationary hyperelastic deformation processes, 22 mechano-chemical fluid-structure interaction, 23 and dynamic crystal plasticity. 24,25 Given this background, we propose a Eulerian FE formulation and a constitutive equation for PSA simulations involving multiple materials and large deformations. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Multimaterial Eulerian finite element formulation for pressure‐sensitive adhesives

Nishiguchi

Okazawa

Tsubokura

2018

Numerical Meth Engineering

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Summary A temperature‐dependent visco‐hyperelastic formulation is proposed based on a Eulerian finite element method for large‐deformation and multimaterial problems, which is pertinent in the application to pressure‐sensitive adhesives. All the basic equations are computed in the Eulerian description because it allows arbitrarily large deformations. This formulation employs Simo's finite‐strain viscoelastic model, where hyperelasticity is modeled as a novel strain‐energy function of the left Cauchy‐Green deformation tensor. The left Cauchy‐Green deformation tensor is temporally updated from the Eulerian velocity field. Temperature dependence is described with the time‐temperature superposition principle. To validate the proposed approach, we simulated tests of uniaxial tension with various tensile speeds and temperature conditions and performed a steel‐ball‐drop test on an acrylic pressure‐sensitive adhesive.

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“…Then, in Subsection 2.2, we recall basic concepts of crystal plasticity, specify the forms of both the Gibbs potential and the rate of dissipation, and show that, together with balance equations, these constitutive equations for two scalar quantitities suffice for the derivation of the proposed elasto-visco-plastic model of crystal plasticity. The derived model is then compared with the Eulerian approach of Cazacu and Ionescu [4,3] in Section 2.3. Section 3 briefly introduces a numerical method and provides the results of numerical simulations for a micropillar compression ansatz.…”

Section: Introductionmentioning

confidence: 99%

A Gibbs-potential-based framework for ideal plasticity of crystalline solids treated as a material flow through an adjustable crystal lattice space and its application to three-dimensional micropillar compression

Kratochvı́l

Málek

Minakowski

2016

International Journal of Plasticity

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We propose an Eulerian thermodynamically compatible model for ideal plasticity of crystalline solids treated as a material flow through an adjustable crystal lattice space. The model is based on the additive splitting of the velocity gradient into the crystal lattice part and the plastic part. The approach extends a Gibbs-potential-based formulation developed in [21] for obtaining the response functions for elasto-visco-plastic crystals. The framework makes constitutive assumptions for two scalar functions: the Gibbs potential and the rate of dissipation. The constitutive equations relating the stress to kinematical quantities is then determined using the condition that the rate of dissipation is maximal providing that the relevant constraints are met. The proposed model is applied to three-dimensional micropillar compression, and its features, both on the level of modelling and computer simulations, are discussed and compared to relevant studies.

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Dynamic crystal plasticity: An Eulerian approach

Cited by 12 publications

References 35 publications

Plastic deformation treated as material flow through adjustable crystal lattice

Plastic deformation treated as material flow through adjustable crystal lattice

Multimaterial Eulerian finite element formulation for pressure‐sensitive adhesives

A Gibbs-potential-based framework for ideal plasticity of crystalline solids treated as a material flow through an adjustable crystal lattice space and its application to three-dimensional micropillar compression

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