Weak stabilization of solutions to PDEs with hysteresis in thermovisco-elastoplasticity

Krejčí, Pavel; Sprekels, Jürgen

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Displaying similar documents to “Weak stabilization of solutions to PDEs with hysteresis in thermovisco-elastoplasticity”

Temperature-dependent hysteresis in one-dimensional thermovisco-elastoplasticity

Pavel Krejčí, Jürgen Sprekels (1998)

Applications of Mathematics

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In this paper, we develop a thermodynamically consistent description of the uniaxial behavior of thermovisco-elastoplastic materials for which the total stress $σ$ contains, in addition to elastic, viscous and thermic contributions, a plastic component $σ^{p}$ of the form $σ^{p} (x, t) = 𝒫 [ε, θ (x, t)] (x, t)$ . Here $ε$ and $θ$ are the fields of strain and absolute temperature, respectively, and ${𝒫 [\cdot, θ]}_{θ > 0}$ denotes a family of (rate-independent) hysteresis operators of Prandtl-Ishlinskii type, parametrized by the absolute temperature. The system...

Elastoplastic reaction of a container to water freezing

Pavel Krejčí (2010)

Mathematica Bohemica

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The paper deals with a model for water freezing in a deformable elastoplastic container. The mathematical problem consists of a system of one parabolic equation for temperature, one integrodifferential equation with a hysteresis operator for local volume increment, and one differential inclusion for the water content. The problem is shown to admit a unique global uniformly bounded weak solution.

Thermoelasticity without energy dissipation for initially stressed bodies.

Wang, Jun, Slattery, Susan Palmer (2002)

International Journal of Mathematics and Mathematical Sciences

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