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Title of Journal: Continuum Mech Thermodyn

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Abbravation: Continuum Mechanics and Thermodynamics

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Springer Berlin Heidelberg

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DOI

10.1007/bf02612298

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1432-0959

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Relaxation in crystal plasticity with three active

Authors: Sergio Conti Georg Dolzmann
Publish Date: 2016/01/08
Volume: 28, Issue: 5, Pages: 1477-1494
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Abstract

We study a variational model for finite crystal plasticity in the limit of rigid elasticity We focus on the case of three distinct slip systems whose slip directions lie in one plane and are rotated by 120° with respect to each other with linear selfhardening and infinite latent hardening in the sense that each material point has to deform in single slip Under these conditions plastic deformation is accompanied by the formation of finescale structures in which activity along the different slip systems localizes in different areas The quasiconvex envelope of the energy density which describes the macroscopic material behavior is determined in a regime from small up to intermediate strains and upper and lower bounds are provided for large strains Finally sufficient conditions are given under which the lamination convex envelope of an extendedvalued energy density is an upper bound for its quasiconvex envelope

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  2. On the volume average of energy and net power
  3. Modeling rammed earth wall using discrete element method
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  5. The evolution of laminates in finite crystal plasticity: a variational approach
  6. Fracture and debonding of a thin film on a stiff substrate: analytical and numerical solutions of a one-dimensional variational model
  7. A coupled ductile fracture phase-field model for crystal plasticity
  8. Extensions of nondissipative continuum mechanics toward complex fluids and complex solids
  9. A phenomenological and extended continuum approach for modelling non-equilibrium flows
  10. Discrete structures equivalent to nonlinear Dirichlet and wave equations
  11. Variational Formulation of the First Principle of Continuum Thermodynamics
  12. A three-fluid approach in bipolar semiconductors with generation–recombination: constitutive laws and Onsager symmetry
  13. The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. Part 2: single-crystal plasticity
  14. GBT pre-buckling and buckling analyses of thin-walled members under axial and transverse loads
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