A model for finite-deformation plasticity. (English) Zbl 0627.73046
We propose a new large deformation viscoplastic model which includes the effects of static and dynamic recovery in its strain rate response as well as the plastic spin in its rotational response. The model is directly obtained from single slip dislocation considerations with the aid of a maximization procedure and a scale invariance argument. It turns out that the evolution of the back stress and the expression for the plastic spin are coupled within the structure of the theory. The model is used for the prediction of nonstandard effects in torsion, namely the development of axial stress and strain as well as the directional softening of the shear stress. The comparisons between the present continuum model and both experiments and self-consistent polycrystalline calculations are very encouraging.
MSC:
| 74B99 | Elastic materials |
| 74C99 | Plastic materials, materials of stress-rate and internal-variable type |
| 74D99 | Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) |
| 74C15 | Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) |
| 74C20 | Large-strain, rate-dependent theories of plasticity |
| 74A60 | Micromechanical theories |
| 74M25 | Micromechanics of solids |
Keywords:
large deformation viscoplastic model; effects of static and dynamic recovery; strain rate response; plastic spin; rotational response; single slip dislocation; maximization procedure; scale invariance argument; back stress; prediction of nonstandard effects in torsion; axial stress; directional softening; shear stressReferences:
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