Elastoplastic reaction of a container to water freezing

Pavel Krejčí

Displaying similar documents to “Elastoplastic reaction of a container to water freezing”

Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics

Wen Zhang, Jianwen Zhang (2012)

Applications of Mathematics

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In this paper, we prove the existence of a global solution to an initial-boundary value problem for 1-D flows of the viscous heat-conducting radiative and reactive gases. The key point here is that the growth exponent of heat conductivity is allowed to be any nonnegative constant; in particular, constant heat conductivity is allowed.

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

Krejčí, Pavel, Sprekels, Jürgen

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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...