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
收藏
页码：179 / 195
页数：17
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