× خانه ژورنال ها پست ها ثبت نام ورود

نتایج جستجو برای Generalized thermo-elasticity

تعداد نتایج: 124392  
1997
HERBERT KOCH,

Energy estimates show that linearized thermo-elasticity deenes a contraction semi-group on a Hilbert space. We show that under a geometric condition this contraction is not strict, or, more precisely, the norm of the semi group is 1 for all t 0. Convex domains always satisfy the geometric condition. 2. introduction Let R n be a bounded domain with smooth boundary ?. We consider the problem @ 2 ...

2000
S. K. ROYCHOUDHURI, SANTWANA MUKHOPADHYAY,

The generalized dynamical theory of thermo-elasticity proposed by Green and Lindsay is applied to study the propagation of harmonically time-dependent thermo-viscoelastic plane waves of assigned frequency in an infinite visco-elastic solid of Kelvin-Voigt type, when the entire medium rotates with a uniform angular velocity. A more general dispersion equation is deduced to determine the effects ...

Journal: :Asymptotic Analysis 2008
Michael Reissig, Jens Wirth,

In this note we develop tools and techniques for the treatment of anisotropic thermo-elasticity in two space dimensions. We use a diagonalisation technique to obtain properties of the characteristic roots of the full symbol of the system in order to prove L–L decay rates for its solutions.

2016
K. Nishinari, S. Koide, K. Ogino,

2014 In order to explain the temperature dependence of elasticity of thermo-reversible gels, a simple model is proposed It assumes that the gel consists of Langevin chains whose both ends are loosely fixed in crystalline junction regions in such a way that the segments near each end are bound densely in one of the junction region. The segments are assumed to be released from the junction with i...

Journal: :Asymptotic Analysis 2008
Jens Wirth,

This note deals with concrete applications of the general treatment of anisotropic thermo-elasticity developed in the first part [M. Reissig, J. Wirth, Anisotropic thermo-elasticity in 2D A unified treatment, Asympt. Anal. ?? (????) ??–??]. We give dispersive decay rates for solutions to the type-1 system of thermo-elasticity for certain types of anisotropic media. 1. Elastic operators and ther...

2004
Pablo S. Casas, Ramón Quintanilla,

This paper concerns the one dimensional problem of the porous-thermo-elasticity. Two kinds of dissipation process are considered: the viscosity type in the porous structure and the thermal dissipation. It is known that when only thermal damping is considered or when only porous damping is considered we have the slow decay of the solutions. Here we prove that when both kinds of dissipation terms...

Journal: :Advanced healthcare materials 2015
Sebastian Hackelbusch, Torsten Rossow, Dirk Steinhilber, David A Weitz, Sebastian Seiffert,

Stimuli-responsive hydrogels are able to change their physical properties such as their elastic moduli in response to changes in their environment. If biocompatible polymers are used to prepare such materials and if living cells are encapsulated within these networks, their switchability allows the cell-matrix interactions to be investigated with unprecedented consistency. In this paper, thermo...

2011
Jens Wirth,

In this note we develop tools to study the Cauchy problem for the system of thermo-elasticity in higher dimensions. The theory is developed for general homogeneous anisotropic media under non-degeneracy conditions. For degenerate cases a method of treatment is sketched and for the cases of cubic media and hexagonal media detailed studies are provided.

2009
TOMÁŠ ROUBÍČEK,

Existence of a very weak solution to the d-dimensional thermo-viscoelasticity system for Kelvin-Voigt-type material at small strains involving (possibly nonlinear) monotone viscosity of a p-Laplacian type and temperature-dependent heat capacity of an (ω−1)-polynomial growth is proved by a successive passage to a limit in a suitably regularized Galerkin approximation and sophisticated a priori e...

2006
ANDREAS KARAGEORGHIS,

In this work, we propose an efficient matrix decomposition algorithm for the Method of Fundamental Solutions when applied to three–dimensional boundary value problems governed by elliptic systems of partial differential equations. In particular, we consider problems arising in linear elasticity in axisymmetric domains. The proposed algorithm exploits the block circulant structure of the coeffic...