Generalized thermo-viscoelasticity with memory-dependent derivative: uniqueness and reciprocity

被引：7

作者：

Sarkar, Indranil ^{[1
]}

Mukhopadhyay, Basudeb ^{[1
]}

机构：

[1] Indian Inst Engn Sci & Technol, Dept Math, Howrah 711103, W Bengal, India

来源：

ARCHIVE OF APPLIED MECHANICS | 2021年 / 91卷 / 03期

关键词：

Thermo-viscoelasticity; Uniqueness; Reciprocity; Three-phase-lag; Mixed initial-boundary value problem; Memory-dependent derivative; FRACTIONAL ORDER THEORY; THERMOELASTICITY; THEOREMS;

D O I：

10.1007/s00419-020-01799-9

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This article theoretically demonstrates the reciprocity and uniqueness theorems for generalized theory of thermo-viscoelasticity involving memory-dependent derivative (MDD). To prove the theorems, a thermo-viscoelastic initial-boundary value problem under the domain of three-phase-lag (TPL) model is taken into consideration for an isotropic, homogeneous medium. The theorems are proved with the help of the Laplace transform of the thermophysical quantities. Finally, a few special cases in the generalized theory of thermo-elasticity and thermo-viscoelasticity with MDD and without MDD are derived from the present model.

引用

页码：965 / 977

页数：13

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