Qualitative results in thermoelasticity of type III for dipolar bodies
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In our study we formulated the mixed initial boundary value problem corresponding to the thermoelasticity of type III for bodies with dipolar structure. In main section we approached four qualitative results regarding the solutions for this problem.
Marin M., Vlase S., Öchsner A.
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Existence, uniqueness weak solution for a dynamic Full von Karman System of thermoelasticity
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper we study a model of full Von-Karman system coupled to the thermoelastic equations, with rotational forces, nor clamped boundary conditions.
Oudaani J.
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Some fixed point theorems of rational type contraction in b-metric spaces
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U.
Seddik Merdaci, Taieb Hamaizia
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Some remarks on the model of rigid heat conductor with memory: unbounded heat relaxation function [PDF]
, 2019 The model of rigid linear heat conductor with memory is reconsidered focussing the interest on the heat relaxation function. Thus, the definitions of heat flux and thermal work are revised to understand where changes are required when the heat flux ...
Carillo, Sandra
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Well-posedness and exponential decay for a laminated beam with distributed delay term [PDF]
, 2022 In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional laminated beam system with a distributed delay term in the first equation, where the heat conduction is given by Fourier’s law effective in the rotation angle ...
Abdelhak DJEBABLA, Abdelhak DJEBABLA +2 more
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Fast spatial behavior in higher order in time equations and systems [PDF]
, 2022 In this work, we consider the spatial decay for high-order parabolic (and combined with a hyperbolic) equation in a semi-infinite cylinder. We prove a Phragmén-Lindelöf alternative function and, by means of some appropriate inequalities, we show that the
Fernández, Jose R. +1 more
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A dynamic electroviscoelastic problem with thermal effects [PDF]
, 2021 We consider a mathematical model which describes the dynamic process of contact between a piezoelectric body and an electrically conductive foundation. We model the material’s behavior with a nonlinear electro-viscoelastic constitutive law with thermal ...
LEBRI, Nemira, SMATA, Sihem
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On the M\"uller paradox for thermal-incompressible media [PDF]
, 2011 In his monograph Thermodynamics, I. M\"uller proves that for incompressible media the volume does not change with the temperature. This M\"uller paradox yields an incompatibility between experimental evidence and the entropy principle.
Gouin, Henri +2 more
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Numerical resolution of an exact heat conduction model with a delay term [PDF]
, 2019 In this paper we analyze, from the numerical point of view, a dynamic thermoelastic problem. Here, the so-called exact heat conduction model with a delay term is used to obtain the heat evolution.
Campo, Marco +2 more
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The modelling of temperature-dependent stress-strain curves for weldable steels
Journal of Applied Mathematics and Computational Mechanics, 2018 The calculation of stresses in the steel elements subjected to the thermomechanical loads requires taking into account the influence of temperature on mechanical properties of a material, including the stress-strain curve.
J. Winczek, M. Mičian, V. Ivanov
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