Rozložení teplot a zbytkových vnitřních pnutí, vznikajících při chladnutí válcového tělesa
Ladislav Prášek (1963)
Aplikace matematiky
Khomasuridze, N. (2001)
Georgian Mathematical Journal
Quintanilla, Ramón (2003)
International Journal of Mathematics and Mathematical Sciences
Reinhard Racke (2003)
Banach Center Publications
In this survey we first recall results on the asymptotic behavior of solutions in classical thermoelasticity. Then we report on recent results in linear magneto-thermo-elasticity and magneto-elasticity, respectively.
Milan Mićunović (1984)
Zbornik Radova
Jiří Šimonek (1961)
Aplikace matematiky
Mohammed Aassila (1998)
Colloquium Mathematicae
We use a new approach to prove the strong asymptotic stability for n-dimensional thermoelasticity systems. Unlike the earlier works, our method can be applied in the case of feedbacks with no growth assumption at the origin, and when LaSalle's invariance principle cannot be applied due to the lack of compactness.
Sergio Bressan (1984)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
According to a thermodynamic theory proposed by G. Grioli, we consider the problem of determining the solutions for the growth of acceleration waves in an elastic body. At first we determine a property of the velocities of waves propagation and we determine some limitations for the free energy; then we resolve the above mentioned problem for the «small» waves working on the iperacceleration waves.
Sergio Bressan (1984)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
According to a thermodynamic theory proposed by G. Grioli, we consider the problem of determining the solutions for the growth of acceleration waves in an elastic body. At first we determine a property of the velocities of waves propagation and we determine some limitations for the free energy; then we resolve the above mentioned problem for the «small» waves working on the iperacceleration waves.
Mariano Torrisi, Antonino Valenti (1985)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
In this paper we study waves propagation along a traction free surface of a infinite body composed of two different thermoelastic isotropic half-spaces in welded contact.
Barbara Lazzari, Antonio Scalia (1984)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
In this paper we prove that for elastic, isotropic, omogeneus materials for which the heat flux vector obey the relation of Cattaneo there is a unique continuously differentiable entropy function.
Diego Pigozzi (1981)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We consider an incompressible elastic solid which admits a configuration of equilibrium having the shape of a rectangular parallelepiped when external forces are absent. We look for a thermoelastic transformation mapping that configuration onto a cylindrical wedge . The problem we consider is analogous to the one where both and are cylindrical crowns. This case has been considered by T. Manacorda Referring to a system of cylindrical coordinates , and , we show that the transformation...
Pavel Krejčí, Jürgen Sprekels (1998)
Applications of Mathematics
In this paper, we develop a thermodynamically consistent description of the uniaxial behavior of thermovisco-elastoplastic materials for which the total stress contains, in addition to elastic, viscous and thermic contributions, a plastic component of the form . Here and are the fields of strain and absolute temperature, respectively, and denotes a family of (rate-independent) hysteresis operators of Prandtl-Ishlinskii type, parametrized by the absolute temperature. The system of momentum...
Rokne, J., Singh, B.M., Dhaliwal, R.S., Vrbik, J. (2004)
International Journal of Mathematics and Mathematical Sciences
Walter Littman, Stephen Taylor (2008)
Applicationes Mathematicae
We discuss the null boundary controllability of a linear thermo-elastic plate. The method employs a smoothing property of the system of PDEs which allows the boundary controls to be calculated directly by solving two Cauchy problems.
Henryk Kołakowski, Jarosław Łazuka (2008)
Applicationes Mathematicae
The aim of this paper is to derive a formula for the solution to the Cauchy problem for the linear system of partial differential equations describing nonsimple thermoelasticity. Some properties of the solution are also presented. It is a first step to study the nonlinear case.
Abd-Alla, Abo-El-Nour N., Al-Dawy, Amira A.S. (2000)
International Journal of Mathematics and Mathematical Sciences
Karkusty, N.N. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
А.Ю. Гусятников (1982)
Matematiceskie issledovanija
Roychoudhuri, S.K., Bandyopadhyay, Nupur (2005)
International Journal of Mathematics and Mathematical Sciences