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Applied Mathematics and Mechanics

, Volume 12, Issue 9, pp 849–862 | Cite as

Thermoelastic problems in the half space—An application of the general solution in elasticity

  • Wang Min-zhong
  • Huang Ke-fu
Article

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 

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References

  1. [1]
    Nowinski, J. L.,Theory of Thermoelasticity with Applications, Sijthoff and Noordhoff International Publishers (1978), 248–268.Google Scholar
  2. [2]
    Goodier, J. N., On the integration of the thermo-elastic equations,Phil. Mag.,7 (1937), 1017–1032.zbMATHGoogle Scholar
  3. [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).Google Scholar
  4. [4]
    Nowacki, W., State of stress in an elastic semi-space due to an instantaneous source of heat,Bull. Acad. Pol. Sci.,5 (1957).Google Scholar
  5. [5]
    Liu, H.-c.,Selection of Liu Hsien-chih, Sichuan Press of Science and Technology (1984). (in Chinese)Google Scholar
  6. [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)MathSciNetGoogle Scholar
  7. [7]
    Liu, H.-c., Thermal-elastic stresses and deformations evoked by a cylindrical inclusion of circular cross section in a semi-infinite elastic solid,Acta Mechanica Sinica,8 (1965), 12–27. (in Chinese)Google Scholar
  8. [8]
    Liu, H.-c., Thermal-elastic stresses caused by a cylindrical inclusion of rectangular cross section in a semi-infinite elastic solid,Acta Mechanica Sinica,9 (1966), 302–315. (in Chinese)Google Scholar
  9. [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)zbMATHGoogle Scholar
  10. [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)MathSciNetGoogle Scholar
  11. [11]
    Mindlin, R.D., D.H. Cheng, Thermoelastic stresses in the semi-infinite solids,J. Appl. Mech.,21 (1950) 931–933.zbMATHMathSciNetGoogle Scholar
  12. [12]
    Eubanks, R.A. and E. Sternberg, On the completeness of the Boussinesq-Papkovich stress functions,Rat. Mech. and Anal.,5 (1956), 735–746.zbMATHMathSciNetGoogle Scholar
  13. [13]
    Wang, M.-z., Application of the finite part of a divergent integral in the theory of elasticity,Appl. Math. andMech.,6, 12 (1985), 1161–1169.zbMATHMathSciNetGoogle Scholar

Copyright information

© Shanghai University of Technology (SUT) 1991

Authors and Affiliations

  • Wang Min-zhong
    • 1
  • Huang Ke-fu
    • 1
  1. 1.Department of MechanicsPeking UniversityBeijing

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