EIGENVALUE APPROACH TO COUPLED THERMOELASTICITY WITH TEMPERATURE DEPENDENT MODULUS OF ELASTICITY IN AN ISOTROPIC ELASTIC MEDIUM WITH A CYLINDRICAL HOLE

A. LAHIRI; B. DAS

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EIGENVALUE APPROACH TO COUPLED THERMOELASTICITY WITH TEMPERATURE DEPENDENT MODULUS OF ELASTICITY IN AN ISOTROPIC ELASTIC MEDIUM WITH A CYLINDRICAL HOLE

机译：具有圆柱孔的各向同性弹性介质的热弹性与温度相关的模量耦合的特征值方法

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The fundamental equations of coupled thermoelasticity in an isotropie elastic medium with a cylindrical cavity under the dependence of the modulus of elasticity on the reference temperature have been written in the form of a vector-matrix differential equation and solved by the eigenvalue approach. The normal mode analysis is used to obtain the expressions for stresses and temperature when the lateral surface of the cylinder is kept at ambient temperature. Finally, numerical computations of the stresses and temperature have been made and presented graphically. Comparisons are made with the results obtained in the case of temperature independent modulus of elasticity.

机译：在矢量模量微分方程的形式下，以弹性模量对参考温度的依赖关系写出了具有圆柱形空腔的各向同性弹性介质中耦合热弹性的基本方程，并通过特征值法求解。当圆柱体的侧面保持在环境温度下时，法线模式分析用于获得应力和温度的表达式。最后，对应力和温度进行了数值计算，并以图形方式给出。与在温度无关的弹性模量情况下获得的结果进行比较。

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《International journal of applied mechanics and engineering》 |2011年第2期|p.411-423|共13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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原文格式 PDF
正文语种 eng
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关键词
eigenvalue; thermoelasticity; vector-matrix differential equation; normal mode; isotropie;

机译：特征值热弹性向量矩阵微分方程正常模式;各向同性;

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1. EIGENVALUE APPROACH TO COUPLED THERMOELASTICITY WITH TEMPERATURE DEPENDENT MODULUS OF ELASTICITY IN AN ISOTROPIC ELASTIC MEDIUM WITH A CYLINDRICAL HOLE [J] . A. LAHIRI, B. DAS International Journal of Applied Mechanics and Engineering . 2011,第2期

机译：具有圆柱孔的各向同性弹性介质的热弹性与温度相关的模量耦合的特征值方法
2. EIGENVALUE APPROACH TO GENERALIZED THERMOELASTICITY WITH TEMPERATURE DEPENDENT MODULUS OF ELASTICITY IN TRANSVERSELY ISOTROPIC ELASTIC MEDIUM [J] . N.C. DAS, A. LAHIRI, S. SARKAR Bulletin of the Calcutta Mathematical Society . 2008,第4期

机译：横观各向同性弹性介质的温度弹性模量广义热弹性的特征值法。
3. Thermoelastic interactions in a transversely isotropic elastic medium with a cylindrical hole subjected to ramp-type increases in boundary temperature or load [J] . Santwana Mukhopadhyay Journal of thermal stresses . 2002,第4期

机译：横观各向同性弹性介质中的热弹性相互作用与圆柱孔经过坡道型时的边界温度或载荷增加
4. Green's function for an isotropic linear elastic medium with random shear modulus [C] . Holger Waubke International Congress and Exposition on Noise Control Engineering . 2003

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5. Laser generated thermoelastic waves in finite and infinite transversely isotropic cylinders. [D] . Chitikireddy, Ravi. 2012

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8. Estimation of Temperature-Dependent Transversely Isotropic Thermoelastic Properties of Single-Crystal SiC Whiskers. [R] . Yuan, Y. S., Wang, S. S. 1989

机译：单晶siC晶须温度依赖横向各向同性热弹性的估算。

EIGENVALUE APPROACH TO COUPLED THERMOELASTICITY WITH TEMPERATURE DEPENDENT MODULUS OF ELASTICITY IN AN ISOTROPIC ELASTIC MEDIUM WITH A CYLINDRICAL HOLE

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