Abstract
According to Fredholm's theorem, this paper proves that due to the virtual fundaemental loads which satisfy the boundary conditions and being distributed outside the elastic body occupied region the displacement and stress fields in the elastic body occupied region are unique. This theorem forms a theoretical basis of the applications of the line-loaded integral equation method.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Yun Tian-quan, An integral equation mothod for solving the torsion problem of rotating bodies,J. H. I. T., (English Edition),1, 1 (1979), 82–97. (MR 81 m: 73028).
Yun Tian-quan, Pile analysis by simple integral equation method,Applied Mathematics and Mechanics,2, 3 (1981), 307–320, (MR 83i: 73014).
Yun Tian-quan, Shao Uong-chang and Qiu Chong-guang, Analysis of elliposid compressed by two axial concentrated forces at two ends,Applied Mathematics and Mechanics,2, 6 (1981), 641–650.
Yun Tian-quan, An integral equation method for problem of load acting perpendicularly to the surface of a half-space with rigid horizontal level,Acta Mechanica Solida Sinica,3 (1983), 375–383, (in Chinese)
Yun Tian-quan, Integral equations its applications in elasticity, Lecture Note of the 33rd symposium held under the auspices of Applied mathematics and mechanics, Shangdong Chemical Engineering Institute Press (1984).
Smithies, F.,Integral Equations, Cambridge University Press (1958).
Pogorzelski, W.,Integral Equations and Their Applications, Vol. 1, Pergamon Press, London (1966).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tian-quan, Y. Theorme of the uniqueness of displacement and stress fields of line-loaded integral equation method. Appl Math Mech 6, 219–222 (1985). https://doi.org/10.1007/BF01895517
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01895517