A domain of influence in the Moore–Gibson–Thompson theory of dipolar bodies
Journal of Taibah University for Science, 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 time t>0, a
Marin I Marin +2 more
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Effect of Voids and Internal State Variables in Elasticity of Porous Bodies with Dipolar Structure
Mathematics, 2021 In this study, we will prove that the presence of the voids and of the internal state variables in an elastic body with dipolar structure have no effect on the result of uniqueness regarding the solution of the initial-boundary value problem from this ...
Marin I Marin, Sorin Vlase
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Some Results in Green–Lindsay Thermoelasticity of Bodies with Dipolar Structure
Mathematics, 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.
Marin I Marin, Eduard M Crăciun
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On the decay of exponential type for the solutions in a dipolar elastic body
Journal of Taibah University for Science, 2020 Our study is concerned with a generalization of the principle of Saint-Venant in the context of the theory of elastic bodies with a dipolar structure.
Marin I Marin, Rabia Ellahi, Sorin Vlase
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Qualitative results in thermoelasticity of type III for dipolar bodies
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In our study we formulated the mixed initial boundary value problem corresponding to the thermoelasticity of type III for bodies with dipolar structure. In main section we approached four qualitative results regarding the solutions for this problem.
Marin M., Vlase S., Öchsner A.
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On vibrations in Green-Naghdi thermoelasticity of dipolar bodies
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 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.
Marin M. +3 more
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A mathematical model for three-phase-lag dipolar thermoelastic bodies
Journal of Inequalities and Applications, 2017 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.
M Marin, RP Agarwal, L Codarcea
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The Influence of Voids in the Vibrations of Bodies with Dipolar Structure
Symmetry, 2021 In our study we analyse the vibration of a right cylinder which consists of an elastic material with dipolar structure and has pores. One end of this cylinder is subjected to an excitation, harmonically in time.
Marin I Marin +2 more
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Evolution of solutions for dipolar bodies in Thermoelasticity without energy dissipation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 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.
Marin Marin, Abbas Ibrahim
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A Variational Approach for the Mixed Problem in the Elastostatics of Bodies with Dipolar Structure
Mediterranean Journal of Mathematics, 2018 In this study, we address the mixed initial boundary value problem in the elastostatics of dipolar bodies. Using the equilibrium equations, we build the operator of dipolar elasticity and prove that this operator is positively defined even in the general
Marin I Marin, Vicenţiu D Rădulescu
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