Results 21 to 30 of about 42 (42)
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
wiley +1 more source
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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General decay in a Timoshenko-type system with thermoelasticity with second sound
Advances in Nonlinear Analysis, 2015 In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali +3 more
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A dynamic Tresca’s frictional contact problem with damage for thermo elastic-viscoplastic bodies
, 2019 We consider a dynamic contact problem between an elastic-viscoplastic body and a rigid obstacle. The contact is frictional and bilateral, the friction is modeled with Tresca’s law with heat exchange.
BOUKAROURA, Ilyas, DJABI, Seddik
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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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On the stabilization of a thermoelastic laminated beam system with microtemperature effects
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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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.
europepmc +1 more source
Nonlinear Models of Thermo-Viscoelastic Materials. [PDF]
Materials (Basel), 2021 Giorgi C, Morro A.
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