Mathematical Modeling of the Coupled Processes in Nanoporous Bodies

Taras Nahirnyj; Kostiantyn Tchervinka

doi:10.2478/ama-2018-0030

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Mathematical Modeling of the Coupled Processes in Nanoporous Bodies

Acta Mechanica et Automatica

Volume 12 (2018): Issue 3 (September 2018)

By: Taras Nahirnyj and Kostiantyn Tchervinka

Open Access

|Oct 2018

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.

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Articles in this issue

DOI: https://doi.org/10.2478/ama-2018-0030 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088

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Language: English

Page range: 196 - 203

Submitted on: Apr 5, 2017

Accepted on: Aug 27, 2018

Published on: Oct 16, 2018

Published by: Bialystok University of Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Related subjects:

Electrical engineering,

Electronics,

Mechanical engineering,

Mechanics,

Bioengineering and biomedical engineering,

Biomechanics,

Civil engineering,

Environmental engineering

© 2018 Taras Nahirnyj, Kostiantyn Tchervinka, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 12 (2018): Issue 3 (September 2018)