Philosophical Magazine B · 1990 · 16 citations · 18 references
Natural SciencesMaterials SciencePhysicsCondensed Matter PhysicsMechanical Behavior Of MaterialsSolid State PhysicsDeformation MechanismsDislocation MechanicsDislocation TheoryPlastic DeformationDislocation BehaviorDislocation DensityDislocation MotionDislocation Pile-upsPolycrystalline MaterialsShear Band FormationShear StressSoliton Propagation
Abstract A new interpretation is presented of the results of numerical calculations of the dynamical behaviour of a dislocation group moving either freely or in dynamic pile-up formation. Both ‘relativistic’ and internal-stress softening effects are additionally taken into account. It is shown that the behaviour of a dislocation group can be considered in two representations, namely the propagation of dislocation density and shear-stress distributions, both strongly reminiscent of solitary-wave-like processes. Moreover, by considering the dynamic pile-up as the formation of a high-amplitude shear-stress impulse (called by us the ‘plaston’), it is suggested that plaston formation is a result of the interaction of a soliton-like process with an obstacle. This suggestion is discussed briefly in the context of experimental data on shear band propagation in polycrystalline metals.
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Constitutive Equations in Plasticity
A. S. Argon, C.S. Hartley · Journal of Applied Mechanics · 1977 · 969 citations
Julio Rubinstein · Journal of Mathematical Physics · 1970 · 343 citations