Fractional order theory of thermo-viscoelasticity and application

被引：34

作者：

Sherief, Hany H. ^{[1
]}

El-Hagary, Mohammed A. ^{[2
]}

机构：

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

[2] Damiatta Univ, Dept Math, New Damietta, Egypt

来源：

MECHANICS OF TIME-DEPENDENT MATERIALS | 2020年 / 24卷 / 02期

关键词：

Fractional calculus; Half Space; Reciprocity theorem; Thermo-viscoelasticity; Uniqueness theorem; GENERALIZED THEORY; HALF-SPACE; 1D PROBLEM; THERMOELASTICITY; CALCULUS; MODEL;

D O I：

10.1007/s11043-019-09415-2

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this work, we derive a new fractional order theory for thermo-viscoelasticity. A uniqueness theorem for these equations is proved. A reciprocity theorem is also proved. A 1D problem for a viscoelastic half space is solved by using the Laplace transform technique. The solution in the transformed domain is obtained by a direct approach. The inverse transforms are obtained by using a numerical method. The temperature, displacement and stress distributions are computed and represented graphically.

引用

页码：179 / 195

页数：17

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