THERMOELASTIC PROBLEMS IN THE HALF SPACE--AN APPLICATION OF THE GENERAL SOLUTION IN ELASTICITY

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (9): 849-862.

THERMOELASTIC PROBLEMS IN THE HALF SPACE--AN APPLICATION OF THE GENERAL SOLUTION IN ELASTICITY

王敏中, 黄克服

Department of Mechancis, Peking University, Beijing

收稿日期:1990-05-30 出版日期:1991-09-18 发布日期:1991-09-18

THERMOELASTIC PROBLEMS IN THE HALF SPACE--AN APPLICATION OF THE GENERAL SOLUTION IN ELASTICITY

Wang Min-zhong, Huang Ke-fu

Department of Mechancis, Peking University, Beijing

Received:1990-05-30 Online:1991-09-18 Published:1991-09-18

摘要/Abstract

摘要： In this paper, some thermoelastic problems in the half space are studied by using the general solutions of the elastic equations.The method presented here is extremely effective for the axisymmetric problems of the half space as well as the half plane problems.

关键词: half space, thermoelastic potential, elastic general solution, thermoelastic problems

Abstract: In this paper, some thermoelastic problems in the half space are studied by using the general solutions of the elastic equations.The method presented here is extremely effective for the axisymmetric problems of the half space as well as the half plane problems.

Key words: half space, thermoelastic potential, elastic general solution, thermoelastic problems

王敏中;黄克服. THERMOELASTIC PROBLEMS IN THE HALF SPACE--AN APPLICATION OF THE GENERAL SOLUTION IN ELASTICITY[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(9): 849-862.

Wang Min-zhong;Huang Ke-fu. THERMOELASTIC PROBLEMS IN THE HALF SPACE--AN APPLICATION OF THE GENERAL SOLUTION IN ELASTICITY[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(9): 849-862.

参考文献

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[3] Nowacki,W.,State of stress in an infinite and semi-infinite elastic space,due to an instantaneous source of heat,Bull.Acad.Pol.Sci.,5(1957).
[4] Nowacki,W.,State of stress in an elastic semi-space due to an instantaneous source of heat,Bull.Acad.Pol.Sci.,5(1957).
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[6] Liu,H.-c.,Thermal-elastic stresses and deformations caused by a point source of heat in a semi-infinite elastic solid,Acta Mechanica Sinica,3(1959),236-256.(in Chinese).
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[9] Liu.H.-c.,Thermal-elastic stresses and deformations due to a steady point source of heat on the surface of a semi-infinite elastic solid by means of a direct method,Acta Mechanica Sinica,4(1960),66-83.(in Chinese).
[10] Liu,H.-c.,Thermal-elastic stresses due to a steady source of heat with potential of logarithmic function on the surface of a semi-infinite elastic solid,Acta Mechanica Sinica,7(1964),244-250.(in Chinese).
[11] Mindlin,R.D.,D.H.Cheng,Thermoelastic stresses in the semi-infinite solids,J.Appl.Mech.,21(1950) 931-933.
[12] Eubanks,R.A.and E.Sternberg,On the completeness of the Boussinesq-Papkovich stress functions.Rat.Mech.and Anal.,5(1956),735-746.
[13] Wang,M.-z.,Application of the finite part of a divergent integral in the theory of elasticity,Appl.Math,and Mech.,6,12(1985),1161-1169．

THERMOELASTIC PROBLEMS IN THE HALF SPACE--AN APPLICATION OF THE GENERAL SOLUTION IN ELASTICITY

THERMOELASTIC PROBLEMS IN THE HALF SPACE--AN APPLICATION OF THE GENERAL SOLUTION IN ELASTICITY

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