Zobrazeno 1 - 10
of 120
pro vyhledávání: '"Dipolar bodies"'
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-9 (2024)
Abstract Our study is dedicated to a mixture composed of a dipolar elastic medium and a viscous Moore–Gibson–Thompson (MGT) material. The mixed problem with initial and boundary data, considered in this context, is approached from the perspective
Externí odkaz:
https://doaj.org/article/c6cb80ac593a40489324e78d7bb97a55
Publikováno v:
Boundary Value Problems, Vol 2021, Iss 1, Pp 1-14 (2021)
Abstract We consider the mixed problem with boundary and initial data in thermoelasticity of porous bodies with dipolar structure. By generalizing some known results developed by Dafermos in a more simple case of the classical theory of elasticity, w
Externí odkaz:
https://doaj.org/article/e2a291ae439e4bf0a6889d9a6937e059
Publikováno v:
Open Physics, Vol 18, Iss 1, Pp 1161-1167 (2020)
In this paper, we obtain a generalization of the Gronwall’s inequality to cover the study of porous elastic media considering their internal state variables. Based on some estimations obtained in three auxiliary results, we use this form of the Gro
Externí odkaz:
https://doaj.org/article/1673fe410c9542398392d1b986dd41ad
Publikováno v:
Journal of Taibah University for Science, Vol 14, Iss 1, Pp 653-660 (2020)
We establish a domain of influence theorem for the mixed initial-boundary value problem in the context of the Moore–Gibson–Thompson theory of thermoelasticity for dipolar bodies. Based on the data of the mixed problem, we define, for a finite tim
Externí odkaz:
https://doaj.org/article/cc3df390b06747ff9210f86a9614b329
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 27, Iss 1, Pp 125-140 (2019)
This study is concerned with the theory of thermoelasticity of type III proposed by Green and Naghdi, which is extended to cover the bodies with dipolar structure. In this context we construct a boundary value problem for a prismatic bar which is sub
Externí odkaz:
https://doaj.org/article/4aa608001ab84bf3834d0aa72944647f
Publikováno v:
Boundary Value Problems, Vol 2018, Iss 1, Pp 1-12 (2018)
Abstract The goal of this paper is to obtain an extension of the relaxed Saint–Venant principle in order to cover the thermoelasticity of dipolar porous bodies. According to this principle, for a finite time t>0 $t>0$, we identify a bounded domain
Externí odkaz:
https://doaj.org/article/2b6f5d9ea8444329b0bd1acb2a8269a1
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-16 (2017)
Abstract In this study we approach a mixed initial-boundary value problem to modeling a three-phase-lag dipolar thermoelastic body. The constitutive laws in this context are given. We establish a uniqueness result and prove a reciprocal theorem. The
Externí odkaz:
https://doaj.org/article/bd5ae487b7cb42d484976c1a19843455
Publikováno v:
Mathematics, Vol 8, Iss 4, p 497 (2020)
The main concern of this study is an extension of some results, proposed by Green and Lindsay in the classical theory of elasticity, in order to cover the theory of thermoelasticity for dipolar bodies. For dynamical mixed problem we prove a reciproca
Externí odkaz:
https://doaj.org/article/4607dee2c1dd44678adbd5bad1387faf
Autor:
Marin Marin, Abbas Ibrahim
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 24, Iss 1, Pp 57-82 (2016)
The aim of our paper is the study of the spatial evolution of vibrations in the context of Thermoelasticity without energy dissipation for dipolar bodies. Once we get an a priori estimate for the amplitude of the vibration, which are assumed being ha
Externí odkaz:
https://doaj.org/article/0b806c6d73d046e5891855fdd397f98f
Publikováno v:
Boundary Value Problems, Vol 2021, Iss 1, Pp 1-14 (2021)
We consider the mixed problem with boundary and initial data in thermoelasticity of porous bodies with dipolar structure. By generalizing some known results developed by Dafermos in a more simple case of the classical theory of elasticity, we prove n