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Mathematical Analysis of Thermoplasticity with Linear Kinematic Hardening
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K. Chełmiński
Published/Copyright:
June 9, 2010
Abstract
We study thermoplasticity with the Prandtl-Reuss flow rule and with a linear evolution equation for the kinematic hardening. The yield function associated with the system under consideration depends explicitly on the temperature. To have a control on the temperature, we slightly modify the heat equation and prove that an approximation process, based on the Yosida approximation, converges to a global in time solution of the (modified) system of thermoplasticity.
Key words and phrases.: Theory of inelastic deformations; thermoplasticity; kinematic hardening; maximal monotone operators
Received: 2004-01-24
Revised: 2004-09-23
Published Online: 2010-06-09
Published in Print: 2006-June
© Heldermann Verlag
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Keywords for this article
Theory of inelastic deformations;
thermoplasticity;
kinematic hardening;
maximal monotone operators
Articles in the same Issue
- Non-Cohen Oracle C.C.C.
- An Elastic Contact Problem with Adhesion and Normal Compliance
- Mathematical Analysis of Thermoplasticity with Linear Kinematic Hardening
- A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications
- A Note on Stability of Solutions for Abstract Semilinear Dirichlet Problems
- Uniform Bounds for Bessel Functions
- Existence of Solutions for Nonlocal Boundary Value Problem with Singularity in Phase Variables
- On an Asymptotic Boundary Value Problem for Second Order Differential Equations
- Minimax Inequality and Equilibria with a Generalized Coercivity
- Products of Strong Świa̧tkowski Functions
- Darboux Problem with a Discontinuous Right-Hand Side
