2005
DOI: 10.1007/bf02704575
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Sheared solid materials

Abstract: We present a time-dependent Ginzburg-Landau model of nonlinear elasticity in solid materials. We assume that the elastic energy density is a periodic function of the shear and tetragonal strains owing to the underlying lattice structure. With this new ingredient, solving the equations yields formation of dislocation dipoles or slips. In plastic flow high-density dislocations emerge at large strains to accumulate and grow into shear bands where the strains are localized. In addition to the elastic displacement,… Show more

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Cited by 14 publications
(6 citation statements)
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References 47 publications
(66 reference statements)
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“…3À6 Many theoretical 7À10 and experimental 11À14 works have been made in approach to find this "hidden order parameter" in glass state. Free-volume theory, 15 mode-coupling theory, 16 energy-landscape theory, 2, 17 and spin-glass model 18 are few examples of such works that have attempted to explain glass transition, yet had not grasped the complete concept. Over the years, researches concerning glass-transition have greatly advanced with the establishment of computer simulations.…”
Section: Introductionmentioning
confidence: 99%
“…3À6 Many theoretical 7À10 and experimental 11À14 works have been made in approach to find this "hidden order parameter" in glass state. Free-volume theory, 15 mode-coupling theory, 16 energy-landscape theory, 2, 17 and spin-glass model 18 are few examples of such works that have attempted to explain glass transition, yet had not grasped the complete concept. Over the years, researches concerning glass-transition have greatly advanced with the establishment of computer simulations.…”
Section: Introductionmentioning
confidence: 99%
“…In our geometrically nonlinear approach the applied simple shear biases one of these modes and, as we have seen above, the two plastic "mechanisms" end up activated consecutively rather than simultaneously as the linearized theory (as well as classical CP) would suggest. Similar degeneracy occurs also in the case of triangular lattices if the configurational space is reduced to the plane tangent to the point T 0 as in [225].…”
Section: Ideal Shear Strengthmentioning
confidence: 58%
“…The holes are treated here to be static and their abundance is inferred invoking the thermodynamic extremum principle. Understanding the slow dynamics of the holes or the associated free volume with the help of the generalized hydrodynamic models [53] will be of interest for future studies.…”
Section: Discussionmentioning
confidence: 99%