<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The methods of irreversible thermomechanics and functional analysis are used to formulate the mathematical model of thermoelastic solid body taking account of structural heterogeneity of the body material and geometric irregularity of its surface. The density and the chemical potential of skeleton among others are included into the state parameters space. The source of skeleton mass reconciles the actual and reference body states and may be associated with real surface forming method. The analysis of model problem solutions shows that the model is appropriate to describe coupled processes in porous and nanoporous bodies. It allows studying the size effects of strength, elastic moduli, etc. caused by near-surface non-homogeneity.</p></abstract>

The methods of irreversible thermomechanics and functional analysis are used to formulate the mathematical model of thermoelastic solid body taking account of structural heterogeneity of the body material and geometric irregularity of its surface. The density and the chemical potential of skeleton among others are included into the state parameters space. The source of skeleton mass reconciles the actual and reference body states and may be associated with real surface forming method. The analysis of model problem solutions shows that the model is appropriate to describe coupled processes in porous and nanoporous bodies. It allows studying the size effects of strength, elastic moduli, etc. caused by near-surface non-homogeneity.

Mathematical Modeling of the Coupled Processes in Nanoporous Bodies

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Mathematical Modeling of the Coupled Processes in Nanoporous Bodies"}

The methods of irreversible thermomechanics and functional analysis are used to formulate the mathematical model of thermoelastic solid body taking account of...

Mathematical Modeling of the Coupled Processes in Nanoporous Bodies

Published Online: Oct 16, 2018

Page range: 196 - 203

Received: Apr 05, 2017

Accepted: Aug 27, 2018

DOI: https://doi.org/10.2478/ama-2018-0030

Keywords
Continual Model, Thermoelastic Body, Coupled Processes, Nanomaterial, Size Effects

© 2018 Bialystok University of Technology published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mathematical Modeling of the Coupled Processes in Nanoporous Bodies

Published Online: Oct 16, 2018

Page range: 196 - 203

Received: Apr 05, 2017

Accepted: Aug 27, 2018

DOI: https://doi.org/10.2478/ama-2018-0030

KeywordsContinual Model, Thermoelastic Body, Coupled Processes, Nanomaterial, Size Effects

© 2018 Bialystok University of Technology published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Continual Model, Thermoelastic Body, Coupled Processes, Nanomaterial, Size Effects