A Cosserat theory for elastoviscoplastic single crystals at finite deformation

作者: G. Cailletaud , R. Sievert , S. Forest

DOI: 10.24423/AOM.1433

关键词: Hyperelastic materialTorsion (mechanics)DislocationConstitutive equationSlip (materials science)ViscoplasticityCurvatureMathematicsClassical mechanicsDeformation (engineering)

摘要: IN THIS WORK, displacement and lattice rotation are regarded as independent degrees of freedom. They connected only on the constitutive level by balance equations. The description plastic deformation is based slip theory. Elastic curvature torsion associated with couple-stresses. continuum theory dislocations has been revisited to derive kinematics torsion-curvature. Explicit equations hardening rules proposed close in case elastoviscoplasticity. thermodynamical formulation model involves internal variables which similar densities statistically stored geometrically necessary dislocations. Accordingly, Cosserat can be regarded, one hand, classical crystal plasticity complemented and, other closed missing within appropriate micropolar framework. A generalization Mandel's elastoviscoplastic decomposition strain used especially for torsion-curvature measure at finite deformation.

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