Evolution Equations in Thermoelasticity

By Song Jiang, E. Racke, M. Shitikova. 2000

219 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/0ca05bdc9a0bf06d40db5999a59c44f9aeb9e339

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In Computational Mechanics

In Computational Theory and Mathematics

Citations in the corpus

Thermoelasticity with second sound—exponential stability in linear and non‐linear 1‐d (2002, background): “There are theories that restrict the form of the free energy , for the internal energy ”, for the entropy ., and for the stress tensor S essentially to a quadratic polynomial in q, e.g. for of the type = 0 + q · Zq (112) where 0 and the tensor Z only depend on (∇u; ); cf. References [2; 14].”
On the time polynomial decay in elastic solids with voids (2008, background): “In the onedimensional case, for instance, it is known that the interaction between the temperature field and elastic bodies lead to the exponential decay of the solution, see for example [8,16,17].”
On the time decay of solutions in one-dimensional theories of porous materials (2006, background): “In the one-dimensional case, for instance, it is known that combining the equations of elasticity with thermal effects provokes that a negative exponential controls the solutions decay (Jiang and Racke, 2000; Quintanilla and Racke, 2003; Slemrod, 1981).”
Letter to the Editor: exponential stability for one-dimensional problem of swelling porous elastic soils with fluid saturation (2002, methodology): “It is well known that the combination of the thermal eKects with the elastic eKects determines exponential stability [4].”
Global stability for damped Timoshenko systems (2003, background): “[3], seems not to work here because it does not seem to be possible to exploit the condition ρ1/k = ρ2/b for the nonlinear system.”
On the Stability of Damped Timoshenko Systems: Cattaneo Versus Fourier Law (2009, unknown): “[7].”
Some Open Problems in Elasticity (2002, background): “For corresponding results for thermoviscoelasticity see Racke & Zheng [219].”