A method for linking thermally activated dislocation mechanisms of yielding with continuum plasticity theory

Hartley, Craig S.

doi:10.1080/14786430310001599522

Cited by 34 publications

(29 citation statements)

References 41 publications

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“…Following the arguments of Hartley (2003), Clayton and McDowell (2003), and Clayton et al (2004), the deformation gradient is decomposed into a thermoelastic part F e , a part that represents the cumulative effects of crystallographic slip, F p , and a component due to the elastic incompatibility accounting for the presence of dislocations within the lattice, F i , according to…”

Section: Kinematicsmentioning

confidence: 99%

“…While they discuss the long-range kinematic effects associated with this physical long-range stress field, they do not directly incorporate it into their solution. Gerken and Dawson (2008) directly address the kinematic significance of a configuration of GNDs through the three term multiplicative decomposition of the deformation gradient introduced previously by Hartley (2003), Clayton and McDowell (2003), and Clayton et al (2004). Within a small strain geometrical setting, Aghababaei et al (2011) use a kinematic decomposition similar to Acharya (2001) and compute the external and long-range internal stress fields by obtaining a Green's function solution to the Beltrami stress function adapted to the incompatible part of elastic distortion.…”

Section: Introductionmentioning

confidence: 99%

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Coupling continuum dislocation transport with crystal plasticity for application to shock loading conditions

Luscher

Mayeur

Mourad

et al. 2016

International Journal of Plasticity

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Please cite this article as: Luscher, D.J., Mayeur, J.R., Mourad, H.M., Hunter, A., Kenamond, M.A., Coupling continuum dislocation transport with crystal plasticity for application to shock loading conditions AbstractWe have developed a multi-physics modeling approach that couples continuum dislocation transport, nonlinear thermoelasticity, crystal plasticity, and consistent internal stress and deformation fields to simulate the single-crystal response of materials under extreme dynamic conditions. Dislocation transport is modeled by enforcing dislocation conservation at a slip-system level through the solution of advection-diffusion equations. Nonlinear thermoelasticity provides a thermodynamically consistent equation of state to relate stress (including pressure), temperature, energy densities, and dissipation. Crystal plasticity is coupled to dislocation transport via Orowan's expression where the constitutive description makes use of recent advances in dislocation velocity theories applicable under extreme loading conditions. The configuration of geometrically necessary dislocation density gives rise to an internal stress field that can either inhibit or accentuate the flow of dislocations. An internal strain field associated with the internal stress field contributes to the kinematic decomposition of the overall deformation. The paper describes each theoretical component of the framework, key aspects of the constitutive theory, and some details of a one-dimensional implementation. Results from single-crystal copper plate impact simulations are discussed in order to highlight the role of dislocation transport and pile-up in shock loading regimes. The main conclusions of the paper reinforce the utility of the modeling approach to shock problems.

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Section: Kinematicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Coupling continuum dislocation transport with crystal plasticity for application to shock loading conditions

Luscher

Mayeur

Mourad

et al. 2016

International Journal of Plasticity

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show abstract

“…In order to obtain mean curvature, j, from the two-scale model, the following equations relating the dislocation tensor to the lattice curvature were used (Nye, 1953;Sun et al, 2000;Hartley, 2003):…”

Section: Ebsd Characterization and Lattice Curvature Calculationmentioning

confidence: 99%

Simulation of polycrystal deformation with grain and grain boundary effects

Lim¹,

Lee²,

Kim³

et al. 2011

International Journal of Plasticity

161

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“…Although numerous decompositions are possible (cf. [77]), we find our description (17) most appropriate and realistic from the physical standpoint. Lattice defects in crystalline materials Figure 2 describes the physics of equation (17) from the standpoint of (a) a Volterra process and (b) a cubic crystalline lattice for a volume element containing a single edge dislocation.…”

Section: Deformation Gradient Kinematicsmentioning

confidence: 72%