Boundary integral equations for a body with inhomogeneous inclusions

被引：0
作者：
Vishnevskii K.V.
Kushnir R.M.
机构：
来源：
Journal of Mathematical Sciences | 1997年 / 86卷 / 2期
关键词：
Differential Equation; Integral Equation; Heat Conduction; Contact Surface; Stationary Problem;
D O I：
10.1007/BF02356095
中图分类号：
学科分类号：
摘要：
On the basis of the partially singular differential equations of the stationary problem of heat conduction and the quasi-static problem of thermoelasticity, written taking account of conditions of nonideal thermomechanical contact, we derive boundary integral equations for a body with inhomogeneous inclusions. We propose a method of solving these equations taking account of the order of the principal term of the asymptotics of the solution in neighborhoods of the corners of the contact surfaces. ©1997 Plenum Publishing Corporation.
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页码：2552 / 2555
页数：3
相关论文
共 9 条
[1]  
Banerjee P., Butterfield R., Boundary Element Methods in the Applied Sciences [Russian Translation], (1984)
[2]  
Vishnevskii K.V., On the application of the method of function extension in thermoelastic problems, Inzh.-fiz. Zh., 50, 3, pp. 495-496, (1986)
[3]  
Vishnevskii K.V., The thermal stresses in a thermosensitive body with an inclusion bounded by a piecewise smooth surface, Mechanics of Inhomogeneous Structures. Proceedings of the Second All-Union Conference [in Russian], 1, pp. 55-56, (1987)
[4]  
Vishnevskii K.V., Thermoelasticity of Bodies of Two-dimensional Piecewise Homogeneous Structure, (1988)
[5]  
Kolyano Yu. M., Kulik A.N., Kushnir R.M., On the formulation of the generalized coupling problem for the equations of thermoelasticity of piecewise homogeneous bodies, Dokl. Akad. Nauk UkrSSR, 2, pp. 44-49, (1989)
[6]  
Crouch S., Starfield A., Boundary Element Methods in Solid Mechanics, (1983)
[7]  
Kushnir R.M., On the solution of generalized coupling problems for thermoelastic bodies of piecewise homogeneous structure, Mechanics of Inhomogeneous Structures. Proceedings of the Second All-union Conference, 2, pp. 169-170, (1987)
[8]  
Parton V.Z., Perlin P.I., Methods of the Mathematical Theory of Elasticity [in Russian], (1981)
[9]  
Podstrigach Ya. S., Lomakin V.S., Kolyano Yu. M., Thermoelasticity of Bodies of Inhomogeneous Structure [in Russian], (1984)
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