A theory of minimum plastic spin in crystal mechanics. (English) Zbl 0673.73013
Summary: A theory of minimum plastic spin (i.e. minimum relative rate-of-rotation of gross crystalline material and underlying atomic lattice) is proposed for the finite deformation of crystals, consistent with loading conditions and constraints. Three families of multiple-slip configurations of f.c.c. crystals are comprehensively investigated: (i) pure plane strain compression with a [100] axis of free extension; (ii) (110) loading in channel die compression; and (iii) all multiple-slip orientations in uniaxial tension. It is established that, in each case, minimum plastic spin uniquely predicts the experimentally observed behaviour.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 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) |
| 74B20 | Nonlinear elasticity |
| 74E10 | Anisotropy in solid mechanics |
