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Diffusion in Microstretch Thermoelasticity with Microtemperatures and Microconcentrations

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Book cover Models and Theories in Social Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 179))

Abstract

This chapter is dealing with the linear theory of microstretch thermoelasticity for materials whose particles have microelements that are equipped with microtemperatures and microconcentrations. The focus is on isotropic and homogeneous bodies, for which we derive the field equations and the constitutive equations. Then we introduce some dimensionless quantities and establish the continuous dependence of solutions upon initial data and body loads by means of the Gronwall inequality. This extension of mechanics of generalized continua that includes both thermal and diffusion effects aims at providing a rigorous mathematical model with various possible applications in materials science, engineering and even biology.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Transilvania University of Braşov, Bd. Eroilor 29, 500036, Braşov, Romania

    Adina Chirilă & Marin Marin

Authors
  1. Adina Chirilă
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  2. Marin Marin
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Corresponding author

Correspondence to Marin Marin .

Editor information

Editors and Affiliations

  1. Faculty of Mathematics and Computer Science, Ovidius University of Constanţa, Constanţa, Romania

    Cristina Flaut

  2. Department of Mathematics and Physics, Faculty of Military Technology, University of Defence, Brno, Czech Republic

    Šárka Hošková-Mayerová

  3. Faculty of History and Political Science, Ovidius University of Constanţa, Constanţa, Romania

    Daniel Flaut

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Chirilă, A., Marin, M. (2019). Diffusion in Microstretch Thermoelasticity with Microtemperatures and Microconcentrations. In: Flaut, C., Hošková-Mayerová, Š., Flaut, D. (eds) Models and Theories in Social Systems. Studies in Systems, Decision and Control, vol 179. Springer, Cham. https://doi.org/10.1007/978-3-030-00084-4_8

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