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Diffusion in Microstretch Thermoelasticity with Microtemperatures and Microconcentrations

  • Adina Chirilă
  • Marin Marin
Chapter
Part of the Studies in Systems, Decision and Control book series (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.

Keywords

Microstretch thermoelasticity Microtemperatures Microconcentrations Mechanics of generalized continua 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceTransilvania University of BraşovBraşovRomania

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