Theory of Fractional Order Generalized Thermoelasticity

被引：347

作者：

Youssef, Hamdy M. ^{[1
]}

机构：

[1] Univ Alexandria, Fac Educ, Dept Math, Alexandria 21526, Egypt

来源：

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME | 2010年 / 132卷 / 06期

关键词：

heat conduction; Laplace transforms; state-space methods; thermoelasticity; INTEGRODIFFERENTIAL EQUATION; HEAT-EQUATION;

D O I：

10.1115/1.4000705

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this work, a new model of thermoelasticity theory has been constructed in the context of a new consideration of heat conduction with fractional order, and its uniqueness theorem has been approved also. One-dimensional application for a half-space of elastic material, which is thermally shocked, has been solved by using Laplace transform and state-space techniques. According to the numerical results and its graphs, conclusion about the new theory of thermoelasticity has been constructed.

引用

页码：1 / 7

页数：7

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