Thermal Stresses in an Elastic Rectangle

被引：0
作者：
Viatcheslav V. Meleshko
机构：
[1] Kiev National Taras Shevchenko University,Department of Theoretical and Applied Mechanics, Faculty of Mechanics and Mathematics
来源：
Journal of Elasticity | 2011年 / 105卷
关键词：
Elastic rectangle; Thermal stresses; Method of superposition; 74B05; 74F05; 74K10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper addresses the method of determining the two-dimensional thermal stresses in a rectangular isotropic plate or a long bar with arbitrary temperature distribution in the plane and with no variation in temperature through the thickness is presented. The thermal stress have been obtained by the superposition method in terms of Fourier series that satisfy the differential equation and the boundary conditions. The method is illustrated by two examples. The distribution of stresses along some typical lines in the rectangle are computed and the possibilities of approximate solutions are estimated.
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页码：61 / 92
页数：31
相关论文
共 36 条
[1]  
Duhamel J.-M.-C.(1838)Mémoire sur le calcul des actions moléculaires développées par les changements de température dans les corps solides Mém. Savants étrang. 5 440-498
[2]  
Neumann F.E.(1841)Die Gesetze der Doppelbrechung des Lichtes in comprimirten oder ungleichförmig erwärmten uncrystallinischen Körpern Abhandl. Königl. Akad. Wissen. Berlin 2 1-254
[3]  
Maxwell J.C.(1853)On the equilibrium of elastic solids Trans. R. Soc. Edinb. 20 87-120
[4]  
Goodier J.N.(1937)On the integration of the thermo-elastic equations Philos. Mag. Ser. 7 23 1017-1032
[5]  
Maslov G.N.(1938)Thermo-elastic equilibrium analyzed by means of the theory of elasticity Izv. NII Gidrotekhn. 23 130-219
[6]  
Meleshko V.V.(1995)Equilibrium of elastic rectangle: Mathieu-Inglis-Pickett solution revisited J. Elast. 40 207-238
[7]  
Meleshko V.V.(1997)Bending of an elastic rectangular clamped plate: Exact versus ‘engineering’ solutions J. Elast. 48 1-50
[8]  
Grinchenko V.T.(1965)Boundary-value problem of thermoelasticity for a rectangular plate Tepl. Napryazh. Elem. Konstr. 5 138-146
[9]  
Ulitko A.F.(1966)Thermal stresses in rectangular plates Appl. Sci. Res. 15 141-160
[10]  
Sundara Raja Iyengar K.T.(2005)Superposition method in thermal-stress problems for rectangular plates Int. Appl. Mech. 41 1043-1058
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