Issues on the constitutive formulation at large elastoplastic deformations. I: Kinematics. (English) Zbl 0627.73047
The kinematics at large elastoplastic deformations are analyzed within the framework of a general macroscopic constitutive theory with tensorial structure variables. The key concept is the distinction between the kinematics of the continuum and its underlying substructure. The proper definition of physically plausible corotational and codeformational rates for the kinematical and state variables, shows the equivalence of the effect that the choice of an unstressed configuration has, on the transformation of these variables and their rates under superposed rigid body rotations. Along these lines, issues debated in the past are given definitive answers, and comparisons of different approaches are presented.
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) |
| 74A20 | Theory of constitutive functions in solid mechanics |
Keywords:
kinematics; large elastoplastic deformations; general macroscopic constitutive theory; tensorial structure variables; substructure; superposed rigid body rotationsReferences:
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