A Study of Transversely Isotropic Thermoelastic Beam with Green-Naghdi Type-II and Type-III Theories of Thermoelasticity

被引：0

作者：

Lata, Parveen ^{[1
]}

Kaur, Iqbal ^{[1
]}

机构：

[1] Punjabi Univ, Dept Basic & Appl Sci, Patiala, Punjab, India

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2019年 / 14卷 / 01期

关键词：

Transversely Isotropic thermoelastic; Beam; Green-Naghdi theory of thermoelasticity of Type-II and Type-III; Lateral Deflection; Thermal Moment; Axial Stress; FRACTIONAL ORDER; 2-TEMPERATURE THEORY; HEAT; VIBRATIONS; WAVES; MODEL; LASER;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present research deals with the study of transversely isotropic thermoelastic beam in the context of Green-Naghdi (GN) theory of thermoelasticity of Type-II and Type-III. The mathematical model is prepared for the thin beam in a closed form with the application of Euler Bernoulli beam theory. The Laplace Transform technique has been used to find the expressions for displacement component, lateral thermal moment, deflection and axial stress in transformed domain. The general algorithm of the inverse Laplace Transform is developed to compute the results numerically in physical domain. The effect of two theories of thermoelasticity Green-Naghdi-II and Green-Naghdi-III has been depicted on the various quantities. Some particular cases have also been deduced.

引用

页码：270 / 283

页数：14

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