Antiplane shear flows in visco-plastic solids exhibiting isotropic and kinematic hardening

Journal Article · Wed Jul 16 00:00:00 EDT 2003

OSTI ID:821262

Greenberg, J M; Owen, D R

The authors consider antiplane shearing motions of an incompressible visco-plastic solid. The particular constitutive equation employed assumes that the stress tensor has an ''elastic'' component and a component which can exhibit hysteresis. The model exhibits both ''kinematic'' and ''isotropic'' hardening. Our results consist of a set of energy type estimates for the resulting system, L{sub 2} contractivity estimates for the solution operator, and finally an analysis of the approach of our system to a ''rate independent'' model as a distinguished parameter describing our flow rule approaches zero. We also include some computational results for simple piecewise constant data.

• Research Organization: The Electrochemical Society, Inc. (US)
• Sponsoring Organization: U.S. Department of Energy (US)
• DOE Contract Number: FG02-87CE34012
• OSTI ID: 821262
• Resource Relation: Other Information: No journal information given for this preprint; PBD: 16 Jul 2003
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
HARDENING
HYSTERESIS
SHEAR
VISCOSITY
PLASTICITY
SOLIDS
MATHEMATICAL MODELS