Theory of generalized thermoelasticity with fractional order strain-Reference-Cited by-同舟云学术

Theory of generalized thermoelasticity with fractional order strain

Published:2016-08-08 Issue:18 Volume:22 Page:3840-3857
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Youssef Hamdy M¹²

Affiliation:

1. Mechanics Department, Faculty of Engineering, Umm Al-Qura University, Makkah, KSA

2. Mathematics Department, Faculty of Education, Alexandria University, Alexandria, Egypt

Abstract

In this work, a new theory of thermoelasticity has been derived based on fractional order of strain (fraction order Duhamel-Neumann stress-strain relation). A new unified system of differential equations that govern seven different models of thermoelasticity in the context of one temperature type and two-temperature types (14 different models of thermoelasticity) has been constructed. The second part of this work, applications of thermoelasticity with fractional order strain for an isotropic and homogenous one-dimensional elastic half-space based on one-temperature thermoelasticity of Biot, Lord-Shulman, Green-Lindsay and Green-Naghdi type II models have been solved.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546314566837

Reference28 articles.

1. Thermoelasticity and Irreversible Thermodynamics

2. Transient Coupled Thermoelastic Boundary Value Problems in the Half-Space

3. On a theory of heat conduction involving two temperatures

4. A note on non-simple heat conduction

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