Results 1 to 10 of about 157 (62)

Qualitative results in thermoelasticity of type III for dipolar bodies

open access: yesAnalele 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.
doaj   +1 more source

Existence, uniqueness weak solution for a dynamic Full von Karman System of thermoelasticity

open access: yesMoroccan 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.
doaj   +1 more source

Some fixed point theorems of rational type contraction in b-metric spaces

open access: yesMoroccan 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
doaj   +1 more source

The modelling of temperature-dependent stress-strain curves for weldable steels

open access: yesJournal 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
semanticscholar   +1 more source

Reflection and transmission at the boundary surface of modified couple stress thermoelastic media

open access: yesInternational 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 flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation times

open access: yesJournal 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
wiley   +1 more source

Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound

open access: yesJournal 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
wiley   +1 more source

Computer Implementation of the DRBEM for Studying the Generalized Thermo Elastic Responses of Functionally Graded Anisotropic Rotating Plates with Two Relaxation Times

open access: yes, 2014
A numerical computer model based on the dual reciprocity boundary element method (DRBEM) is extended to study the generalized thermoelastic responses of functionally graded anisotropic rotating plates.
M. Fahmy   +3 more
semanticscholar   +1 more source

Some remarks on growth and uniqueness in thermoelasticity

open access: yesInternational 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

open access: yesMathematical 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
wiley   +1 more source

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