An extension of the domain of influence theorem for generalized thermoelasticity of anisotropic material with voids

M Marin, MIA Othman, IA Abbas - Journal of Computational …, 2015 - ingentaconnect.com
The domain of influence theorem is extended to cover the generalized thermoelasticity of
anisotropic bodies with voids in the context of Lord-Shulman and Green-Lindsay theories …

A domain of influence theorem under MGT thermoelasticity theory

K Jangid, S Mukhopadhyay - Mathematics and Mechanics of …, 2021 - journals.sagepub.com
The purpose of this article is to discuss domain of influence results under the Moore–Gibson–
Thompson (MGT) thermoelasticity theory. We employ a mixed initial–boundary value …

A domain of influence theorem for microstretch elastic materials

M Marin - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
In this paper we extent the concept of domain of influence, proposed by Cowin and
Nunziato, in order to cover the elasticity of microstretch materials. We will prove that for a …

A domain of influence theorem for a natural stress–heat-flux problem in the Moore–Gibson–Thompson thermoelasticity theory

K Jangid, S Mukhopadhyay - Acta Mechanica, 2021 - Springer
The present paper is focused on the Moore–Gibson–Thompson (MGT) thermoelasticity
theory. The MGT thermoelasticity theory is a generalized form of the Lord–Shulman (LS) …

On the domain of influence in thermoelasticity of bodies with voids

M Marin - Archivum Mathematicum, 1997 - dml.cz
The domain of influence, proposed by Cowin and Nunziato, is extended to cover the
thermoelasticity of bodies with voids. We prove that for a finite time $ t> 0$ the displacement …

Time-weighted surface power function method for the study of spatial behaviour in dynamics of continua

S Chiriţă, M Ciarletta - European Journal of Mechanics-A/Solids, 1999 - Elsevier
The present paper describes a method for studying the spatial behaviour of the
thermodynamic processes. The method is based on a set of properties for an appropriate …

About finite energy solutions in thermoelasticity of micropolar bodies with voids

M Marin, A Chirila, A Öchsner, S Vlase - Boundary Value Problems, 2019 - Springer
Our study is dedicated to the problem with initial and boundary conditions in the theory of
thermoelasticity for micropolar materials with pores. We obtain some results regarding the …

Domain of influence theorem in the theory of elastic materials with voids

RS Dhaliwal, J Wang - International Journal of Engineering Science, 1994 - Elsevier
A domain of influence theorem in the linear theory of elastic materials with voids, proposed
by Cowin and Nunziato, has been established. The theorem shows that for a finite time t> 0 …

A domain of influence theorem for generalized thermoelasticity with memory-dependent derivative

I Sarkar, B Mukhopadhyay - Journal of Thermal Stresses, 2019 - Taylor & Francis
The present article theoretically deals with the domain of influence theorem for generalized
thermoelasticity with memory-dependent derivative (MDD). A mixed initial-boundary value …

[PDF][PDF] Relaxed Saint-Venant principle for thermoelastic micropolar diffusion

M Marin, I Abbas, R Kumar - Struct. Eng. Mech, 2014 - staffsites.sohag-univ.edu.eg
The main goal of this study is to extend the domain of influence result to cover the micropolar
thermoelastic diffusion. So, we prove that for a finite time t> 0 the displacement field ui, the …