Plastic response by dislocation glide in solid helium under dc strain rate loading

Abstract

We develop a model for the gliding of dislocations and plasticity in solid He-4. This model takes into account the Peierls barrier, multiplication and interaction of dislocations, as well as classical thermally and mechanically activated processes leading to dislocation glide. We specifically examine the dc stress-strain curve and how it is affected by temperature, strain rate, and dislocation density. As a function of temperature and shear strain, we observe plastic deformation and discuss how this may be related to the experimental observation of elastic anomalies in solid hcp He-4 that have been discussed in connection with the possibility of supersolidity or giant plasticity. Our theory gives several predictions for the dc stress strain curves, for example, the yield point and the change in the work-hardening rate and plastic dissipation peak, that can be compared directly to constant strain rate experiments and thus provide bounds on model parameters.

10 pages, 8 figures; minor revisions of accepted version

References in corpus (8)

• Low Temperature Shear Modulus Changes in Solid 4-He and Connection to Supersolidity
• Absence of supersolidity in solid helium in porous Vycor glass
• Disorder and the Supersolid State of Solid ${}^4$He
• Oscillation Frequency Dependence of Non-Classical Rotation Inertia of Solid ${}^4$He
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Cited by in corpus (5)

• Dislocation networks in helium-4 crystals
• The Plastic Flow of Solid 4He through a Porous Membrane
• Comment on "Giant Plasticity of a Quantum Crystal"
• Disorder-induced quantum properties of solid Helium-4
• Dislocation Mobility and Anomalous Shear Modulus Effect in ${}^4$He Crystals