Results 11 to 20 of about 159 (62)
Recovery of a space-dependent vector source in thermoelastic systems [PDF]
, 2014 In this contribution, an inverse problem of determining a space-dependent vector source in a thermoelastic system of type-I, type-II and type-III is studied using information from a supplementary measurement at a fixed time.
Slodicka, Marian, Van Bockstal, Karel
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Time decay in dual-phase-lag thermoelasticity: critical case [PDF]
, 2018 This note is devoted to the study of the time decay of the onedimensional dual-phase-lag thermoelasticity. In this theory two delay parameters tq and t¿ are proposed. It is known that the system is exponentially stable if tq < 2t¿ [22].
Liu, Zhuangyi +1 more
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Journal of Applied Mathematics, Volume 2004, Issue 1, Page 69-83, 2004., 2004 Analysis for the propagation of plane harmonic thermoelastic waves in an infinite homogeneous orthotropic plate of finite thickness in the generalized theory of thermoelasticity with two thermal relaxation times is studied. The frequency equations corresponding to the extensional (symmetric) and flexural (antisymmetric) thermoelastic modes of vibration
K. L. Verma, Norio Hasebe
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Reflection and transmission at the boundary surface of modified couple stress thermoelastic media
International Journal of Applied Mechanics and Engineering, 2016 In this paper the reflection and transmission at a plane interface in modified couple stress generalized thermoelastic solid half spaces in the context of Loard-Shulman (LS) and Green-Lindsay (GL) theories in welded contact are investigated.
R. Kumar, K. Kumar
doaj +1 more source
On the existence and decay in a new thermoelastic theory with two temperatures [PDF]
, 2022 In this work, we study a new two-temperatures thermoelastic model. Both thermodynamic and conductive temperatures are included, being related by means of an elliptic or parabolic equation.
Fernández, Jose R. +3 more
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Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound
Journal of Applied Mathematics, Volume 2004, Issue 3, Page 201-211, 2004., 2004 This work is concerned with a semilinear thermoelastic system, where the heat flux is given by Cattaneo′s law instead of the usual Fourier′s law. We will improve our earlier result by showing that the blowup can be obtained for solutions with “relatively” positive initial energy.
Salim A. Messaoudi, Belkacem Said-Houari
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Multidimensional Thermoelasticity for Nonsimple Materials -- Well-Posedness and Long-Time Behavior [PDF]
, 2016 An initial-boundary value problem for the multidimensional type III thermoelaticity for a nonsimple material with a center of symmetry is considered. In the linear case, the well-posedness with and without Kelvin-Voigt and/or frictional damping in the ...
Anikushyn, Andrii, Pokojovy, Michael
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n2 of dissipative couplings are sufficient to guarantee the exponential decay in elasticity [PDF]
, 2022 In this paper, we prove that the solutions to the problem determined by an elastic material with n2 coupling dissipative mechanisms decay in an exponential way for every (bounded) geometry of the body, where n is the dimension of the domain, and whenever
Fernández García, José Ramon +1 more
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Some remarks on growth and uniqueness in thermoelasticity
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 10, Page 617-623, 2003., 2003 We use the Lagrange identity method and the logarithmic convexity to obtain uniqueness and exponential growth of solutions in the thermoelasticity of type III and thermoelasticity without energy dissipation. As this is not the first contribution of this kind in this theory, it is worth remarking that the assumptions we use here are different from those
Ramón Quintanilla
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Thermomechanical constraints and constitutive formulations in thermoelasticity
Mathematical Problems in Engineering, Volume 2003, Issue 4, Page 153-171, 2003., 2003 We investigate three classes of constraints in a thermoelastic body: (i) a deformation‐temperature constraint, (ii) a deformation‐entropy constraint, and (iii) a deformation‐energy constraint. These constraints are obtained as limits of unconstrained thermoelastic materials and we show that constraints (ii) and (iii) are equivalent.
S. Baek, A. R. Srinivasa
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