A remark on kinematic hardening. II. The consequences of introducing yield conditions. (English) Zbl 0599.73031
In part I [see the summary above (Zbl 0599.73030)] a time-dependent theory of plastic multi-component materials was developed. In the present paper yield conditions are introduced for each of the plastic subelements. Investigating quasi-static loading processes with yielding and hardening plastic subelements, we arrive at flow laws of the plastic potential type, and from identifying the limit of hardening with the thermodynamical limit of vanishing dissipation it is concluded that workhardening is necessarily of Ziegler’s type. The limit of hardening amounts to a second kind of yield condition similar to the loading surfaces in Phillips’ theory. A simple model describing this kind of failure is presented for illustration. Finally an invariant representation of unsymmetrically deforming yield surfaces is given.
MSC:
| 74H99 | Dynamical problems in solid mechanics |
| 74C99 | Plastic materials, materials of stress-rate and internal-variable type |
| 74B99 | Elastic materials |
| 74D99 | Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) |
| 80A10 | Classical and relativistic thermodynamics |
