EFFECTS OF THREE PHASE LAGS ON GENERALIZED THERMOELASTICITY FOR AN INFINITE MEDIUM WITH A CYLINDRICAL CAVITY

被引：33

作者：

Kumar, Roushan ^{[1
]}

Mukhopadhyay, Santwana ^{[1
]}

机构：

[1] Banaras Hindu Univ, Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India

来源：

JOURNAL OF THERMAL STRESSES | 2009年 / 32卷 / 11期

关键词：

Generalized thermoelasticity; Green-Naghdi model; Lord-Shulman model; Three-phase-lag thermoelasticity; ENERGY-DISSIPATION; UNBOUNDED BODY; WAVES;

D O I：

10.1080/01495730903249185

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The present work is concerned with the effects of three-phase lags on thermoelastic interactions due to step input in temperature on the stress free boundary of a cylindrical cavity in an unbounded medium. The problem is studied in the context of theory of generalized thermoelasticity with three phase lags (Roychoudhuri, [24]) and the theory of thermoelasticity with energy dissipation (Green and Naghdi, [4]) in a unified way. Solution of the problem is obtained by using the Laplace transform technique. Significant dissimilarities between two models showing the effects of phase lags are pointed out on the basis of analytical as well as numerical results of the problem. A numerical method for the inversion of Laplace transform is employed.

引用

页码：1149 / 1165

页数：17

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