A constitutive formulation for the linear thermoelastic behavior of arbitrary fiber-reinforced composites.
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Usal, Melek (2010)
Mathematical Problems in Engineering
Aouadi, Moncef (2006)
International Journal of Mathematics and Mathematical Sciences
Galeş, C. (2007)
Mathematical Problems in Engineering
Werner Horn, Jan Sokołowski (2005)
Control and Cybernetics
Lin, Y., Tait, R.J. (1999)
International Journal of Mathematics and Mathematical Sciences
Răducanu, Răzvan (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Ramón Quintanilla de la Torre (1983)
Stochastica
The equations of classical thermoelasticity have been extensively studied [1], [2], [3], [4], [5]. Only more recently the equations when the initial state is at non-uniform temperature have been established [6], and a well-posedness theorem proved by the author and C. Navarro for these equations [7]. Our goal here is to make a brief comment about dissipation in this last case of an initial state with non-uniform temperature.
Rodrigues, José Francisco (1988)
Portugaliae mathematica
Werner Horn, Jan Sokołowski (2002)
International Journal of Applied Mathematics and Computer Science
We study a thermo-mechanical system consisting of an elastic membrane to which a shape-memory rod is glued. The slow movements of the membrane are controlled by the motions of the attached rods. A quasi-static model is used. We include the elastic feedback of the membrane on the rods. This results in investigating an elliptic boundary value problem in a domain Ω ⊂ R^2 with a cut, coupled with non-linear equations for the vertical motions of the rod and the temperature on the rod. We prove the existence...
Khobragade, Kailesh W., Varghese, Vinod, Khobragade, Namdeo W. (2006)
Applied Mathematics E-Notes [electronic only]
Jozef Kačur, Alexander Ženíšek (1986)
Aplikace matematiky
The authors study problems of existence and uniqueness of solutions of various variational formulations of the coupled problem of dynamical thermoelasticity and of the convergence of approximate solutions of these problems. First, the semidiscrete approximate solutions is defined, which is obtained by time discretization of the original variational problem by Euler’s backward formula. Under certain smoothness assumptions on the date authors prove existence and uniqueness of the solution and establish...
Moradi, A., Ahmadikia, H. (2010)
Mathematical Problems in Engineering
Lasiecka, Irena, Triggiani, Roberto (1998)
Abstract and Applied Analysis
Irena Lasiecka, Roberto Triggiani (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Andrawus I. Khuri (1976)
Journal für die reine und angewandte Mathematik
Bonetti, Elena, Bonfanti, Giovanna (2005)
Abstract and Applied Analysis
M. Sango (2003)
Colloquium Mathematicae
We study the initial boundary value problem for the system of thermoelasticity in a sequence of perforated cylindrical domains , s = 1,2,... We prove that as s → ∞, the solution of the problem converges in appropriate topologies to the solution of a limit initial boundary value problem of the same type but containing some additional terms which are expressed in terms of quantities related to the geometry of . We give an explicit construction of that limit problem.
Marco Codegone, Enrique Sanchez-Palencia (1989)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Zenkour, A.M., Mashat, D.S., Elsibai, K.A. (2009)
Mathematical Problems in Engineering
Messaoudi, Salim A., Said-Houari, Belkacem (2004)
Journal of Applied Mathematics
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