EIGENVALUE APPROACH TO TWO DIMENSIONAL PROBLEM OF GENERALIZED THERMOELASTICITY FOR A HALF - SPACE WITH BODY-FORCE

A. LAHIRI; B. DAS

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EIGENVALUE APPROACH TO TWO DIMENSIONAL PROBLEM OF GENERALIZED THERMOELASTICITY FOR A HALF - SPACE WITH BODY-FORCE

机译：具有主体力的半空间广义热弹性二维问题的特征值法。

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The theory of generalized thermoelasticity is applied to a two-dimensional problem for a half-space under the action of body forces. The surface is stress free with thermal shock. Double integral transforms (Laplace transform for time variable and Fourier transform for space variable) are used and the resulting equations are written in the form of a vector-matrix differential equation. The solution of the vector-matrix differential equation in the transformed domain are obtained by eigenvalue approach. The inversion of the Laplace transform is carried out numerically by the Bellman method and computations are done by Mathematica software. Finally, numerical computations of the temperature distribution, displacement and stress components are made and represented graphically.

机译：广义热弹性理论被应用于体力作用下的半空间二维问题。该表面无热冲击应力。使用双重积分变换（用于时间变量的拉普拉斯变换和用于空间变量的傅立叶变换），并且所得的方程以矢量矩阵微分方程的形式编写。利用特征值方法获得了变换域中向量矩阵微分方程的解。拉普拉斯变换的反演通过Bellman方法进行数值计算，并通过Mathematica软件进行计算。最后，对温度分布，位移和应力分量进行了数值计算，并以图形方式表示。

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来源
《Applied Mechanics and Engineering》 |2012年第2期|p.419-437|共19页
作者
A. LAHIRI; B. DAS;
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作者单位

Department of Mathematics Jadavpur University Kolkata - 700 032, INDIA;

Department of Mathematics Jadavpur University Kolkata - 700 032, INDIA;

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正文语种 eng
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关键词
eigenvalue approach; body-force; generalized thermoelasticity; half-space; laplace and fourier transform; vector-matrix differential equation;

机译：特征值法身体力量广义热弹性一半的空间;拉普拉斯和傅立叶变换;向量矩阵微分方程;

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专利

1. EIGENVALUE APPROACH TO TWO DIMENSIONAL PROBLEM OF GENERALIZED THERMOELASTICITY FOR A HALF - SPACE WITH BODY-FORCE [J] . A. LAHIRI, B. DAS International Journal of Applied Mechanics and Engineering . 2012,第2期

机译：具有主体力的半空间广义热弹性二维问题的特征值法。
2. Three-Dimensional Generalized Thermoelasticity with Fractional Order Heat Conduction of a Half-Space Subjected to Rectangular Thermal Pulse: State-Space Approach [J] . Khamis A. K., El-Bary A. A., Allam Allam. A., Materials Focus . 2018,第6期

机译：具有矩形热脉冲的半空间具有分数阶导热的三维广义热弹性：状态空间法
3. Three-Dimensional Generalized Thermoelasticity with Fractional Order Heat Conduction of a Half-Space Subjected to Rectangular Thermal Pulse: State-Space Approach [J] . Khamis A. K., El-Bary A. A., Allam Allam. A., Materials Focus . 2018,第6期

机译：具有矩形热脉冲的半空间的分数级热弹性的三维通用热弹性：状态空间方法
4. EIGENVALUE APPROACH TO STUDY THE EFFECT OF THERMOELASTIC INTERACTIONS DUE TO ROTATION, RELAXATION AND INSTANTANEOUS POINT HEAT SOURCE IN THREE DIMENSIONS IN GENERALIZED THERMOELASTICITY [C] . Arup Baksi, Rasajit Kumar Bera International Congress on Thermal Stresses and Related Topics . 2003

机译：在普通热弹性三维三维旋转，弛豫和瞬时热源中的热弹性相互作用的影响
5. A THERMOELASTIC PROBLEM IN THE HALF-SPACE [D] . BAILEY, JAMES LELAND. 1958

机译：半空间中的热弹性问题
6. The extension of the largest generalized-eigenvalue based distance metric Dij(γ1) in arbitrary feature spaces to classify composite data points [O] . Mosaab Daoud 2019

机译：基于最大广义特征值的距离度量Dij（γ1）在任意特征空间中的扩展以对复合数据点进行分类
7. State-space approach of two-temperature generalized thermoelasticity of one-dimensional problem [O] . Youssef H.M., Al-Lehaibi Eman A. 2007

机译：一维问题的两温广义热弹性的状态空间方法

EIGENVALUE APPROACH TO TWO DIMENSIONAL PROBLEM OF GENERALIZED THERMOELASTICITY FOR A HALF - SPACE WITH BODY-FORCE

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