Results 11 to 20 of about 43 (43)
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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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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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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On the stabilization of a thermoelastic laminated beam system with microtemperature effects [PDF]
The present article investigates a one-dimensional thermoelastic laminated beam with microtemperature effects. Using the energy method, we prove in the case of zero thermal conductivity that the unique dissipation due to the microtemperatures is strong ...
FOUZIA, Foughali, DJELLALI, Fayssal
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Asymptotic model for the propagation of surface waves on a rotating magnetoelastic half-space
Demonstratio MathematicaThis article is focused on deriving the approximate model for surface wave propagation on an elastic isotropic half-plane under the effects of the rotation and magnetic field along with the prescribed vertical and tangential face loads.
Mubaraki Ali M.
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Demonstratio MathematicaIn previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa +2 more
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Open MathematicsIn this article, we consider the recently derived mathematical model of the full von Kármán beam with temperature and microtemperature effects. The nonlinear governing equations were derived by using Hamilton principle in the framework of Euler–Bernoulli
Aouadi Moncef +2 more
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Nonlinear EngineeringIn this paper, a distributed–order Caputo fractional derivative is used to represent nonlinear heat wave propagation in rigid thermal conductors using a novel numerical approach. The suggested model takes into consideration memory effects that are a part
Sweilam Nasser H. +4 more
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Refined Dual-Phase-Lag Theory for the 1D Behavior of Skin Tissue under Ramp-Type Heating. [PDF]
Materials (Basel), 2023 Zenkour AM, Saeed T, Aati AM.
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