Antiplane shear flows in viscoplastic solids exhibiting isotropic and kinematic hardening
Journal Article
·
· SIAM Journal of Applied Mathematics
- Carnegie Mellon Univ., Pittsburgh, PA (United States). Dept. of Mathematical Sciences
The authors consider antiplane shearing motions of an incompressible viscoplastic 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. The 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 the system to a rate independent model as a distinguished parameter describing the flow rule approaches zero. The authors also include some computational results for simple piecewise constant data.
- Sponsoring Organization:
- USDOE, Washington, DC (United States); Department of the Army, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
- OSTI ID:
- 302318
- Journal Information:
- SIAM Journal of Applied Mathematics, Vol. 58, Issue 6; Other Information: PBD: Dec 1998
- Country of Publication:
- United States
- Language:
- English
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