On the possibility of locating in time of solutions for thermoelastic porous dipolar bodies

2015 ◽  
Vol 226 (6) ◽  
pp. 2053-2063 ◽  
Author(s):  
Marin Marin ◽  
Ravi P. Agarwal
Keyword(s):  
Dipolar Bodies

scholarly journals A domain of influence in the Moore–Gibson–Thompson theory of dipolar bodies

2020 ◽  
Vol 14 (1) ◽  
pp. 653-660 ◽  
Author(s):  
M. Marin ◽  
M. I. A. Othman ◽  
A. R. Seadawy ◽  
C. Carstea
Keyword(s):  
Dipolar Bodies

scholarly journals Evolution of solutions for dipolar bodies in Thermoelasticity without energy dissipation

2016 ◽  
Vol 24 (1) ◽  
pp. 57-82
Author(s):  
Marin Marin ◽  
Ibrahim Abbas
Keyword(s):  
Energy Dissipation ◽  
A Priori ◽  
A Priori Estimate ◽  
Critical Value ◽  
Spatial Evolution ◽  
Spatial Decay ◽  
Priori Estimate ◽  
Dipolar Bodies ◽  
Growth Properties ◽  
Without Energy Dissipation

AbstractThe 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 harmonic in time, it is possible to predict some spatial decay or growth properties for the amplitude, provided the frequency of vibration is greater than a certain critical value.

scholarly journals On vibrations in Green-Naghdi thermoelasticity of dipolar bodies

2019 ◽  
Vol 27 (1) ◽  
pp. 125-140 ◽  
Author(s):  
M. Marin ◽  
A. Chirilă ◽  
L. Codarcea ◽  
S. Vlase
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Critical Value ◽  
Spatial Behavior ◽  
Type Iii ◽  
Dipolar Bodies ◽  
Dipolar Structure

Abstract 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 subjected to some harmonic in time vibrations. For the oscillations whose amplitudes have the frequency lower than a critical value, we deduce some estimates for describing the spatial behavior.

scholarly journals Some Results in Green–Lindsay Thermoelasticity of Bodies with Dipolar Structure

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 497 ◽  
Author(s):  
Marin Marin ◽  
Eduard M. Craciun ◽  
Nicolae Pop
Keyword(s):  
Mixed Problem ◽  
Classical Theory ◽  
Theory Of Elasticity ◽  
Reciprocal Theorem ◽  
General Context ◽  
Main Concern ◽  
Dipolar Bodies ◽  
Uniqueness Of The Solution ◽  
Thermoelastic Body ◽  
Dipolar Structure

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 reciprocal theorem, in the general case of an anisotropic thermoelastic body. Furthermore, in this general context we have proven a result regarding the uniqueness of the solution of the mixed problem in the dynamical case. We must emphasize that these fundamental results are obtained under conditions that are not very restrictive.

A polynomial way to control the decay of solutions for dipolar bodies

2018 ◽  
Vol 31 (1) ◽  
pp. 331-340 ◽  
Author(s):  
Marin Marin ◽  
Andreas Öchsner ◽  
Vicentiu Radulescu
Keyword(s):  
Dipolar Bodies ◽  
Decay Of Solutions

On stability in the thermoelastostatics of dipolar bodies

2018 ◽  
Vol 229 (10) ◽  
pp. 4267-4277
Author(s):  
Marin Marin ◽  
Andreas Öchsner ◽  
Dumitru Baleanu
Keyword(s):  
Dipolar Bodies

scholarly journals Weak solutions in Elasticity of dipolar bodies with stretch

2013 ◽  
Vol 29 (1) ◽  
pp. 33-40
Author(s):  
MARIN MARIN ◽  
◽  
GABRIEL STAN ◽  
Keyword(s):  
Weak Solution ◽  
Boundary Value Problem ◽  
Weak Solutions ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Linear Operators ◽  
Elastic Materials ◽  
Elastic Bodies ◽  
Dipolar Bodies

In the present paper we generalize the results obtained by Iesan and Quintanilla for microstretch elastic bodies in order to cover the dipolar elastic materials with stretch. For the boundary value problem considered in this context, we use some results from the theory of semigroups of the linear operators in order to prove the existence and uniqueness of a weak solution.

An evolutionary equation in thermoelasticity of dipolar bodies

1999 ◽  
Vol 40 (3) ◽  
pp. 1391-1399 ◽  
Author(s):  
Marin Marin
Keyword(s):  
Evolutionary Equation ◽  
Dipolar Bodies
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