GENERALIZED FRACTIONAL THERMOELASTICITY ASSOCIATED WITH TWO RELAXATION TIMES

被引：32

作者：

Hamza, F. ^{[1
]}

Abdou, M. ^{[2
]}

Abd El-Latief, A. M. ^{[1
]}

机构：

[1] Univ Alexandria, Fac Sci, Dept Math, Alexandria, Egypt

[2] Univ Alexandria, Fac Educ, Dept Math, Alexandria, Egypt

来源：

JOURNAL OF THERMAL STRESSES | 2014年 / 37卷 / 09期

关键词：

Fractional calculus; Generalized thermoelasticity; Green-Lindsay Model; Reciprocity theorem; Uniqueness; Variational principle; ORDER THEORY; HEAT-CONDUCTION; HALF-SPACE; VISCOELASTICITY; PROPAGATION; CALCULUS; WAVE;

D O I：

10.1080/01495739.2014.936196

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this work, a new theory of thermoelasticity associated with two relaxation times is derived using the methodology of fractional calculus. The theories of coupled thermoelasticity and of generalized thermoelasticity (Green-Lindsay Model) with two relaxation times follow as limiting cases. A uniqueness theorem and a reciprocity theorem for this model are derived. A variational principle theorem is obtained.

引用

页码：1080 / 1098

页数：19

共 37 条

[1]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[2] BOUNDARY INTEGRAL-EQUATION FORMULATION OF GENERALIZED THERMOELASTICITY IN A LAPLACE-TRANSFORM DOMAIN [J].