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A.Ya. Aleksandrov (1983)
Numerical, implementation of the method of integral equations for the solution of elasticity for orthotropic continuous bodies and with cutsMechanics of Solids, 18
M.R. Gecit (1983)
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L.V. Idel's, Yu.I. Solov'er (1983)
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V.K. Kosenyuk (1980)
Solution of plane problem of elasticity for orthotropic bodies by numerical implementation of the method of integral equationsMechanics of Solids, 15
Tang Renji, Wang Yinbang (1984)
Problem of crack system with an elliptical holeActa Mechanica Sinica, 16
Wang Liangguo, Lin Xiao (1985)
Problems on infinite plate with arbitrary collinear cracksActa Mechanica Sinica, 17
Y. Chen (1984)
Solutions of multiple crack problems of a circular plate or an infinite plate containing a circular hole by using Fredholm integral equation approachInternational Journal of Fracture, 25
LEfflOI Hjnto, R. Hartranft (1973)
Alternating method applied to edge and surface crack problems
R.J. Hartranft, G.C. Sih (1973)
Mechanics of Fracture, I
M. Geçit (1983)
An integral equation approach for simultaneous solution of rectangular hole and rectangular block problemsInternational Journal of Engineering Science, 21
N. Muskhelishvili, C. Gerretsen, M. Naimark, Normed Rings (1953)
Some basic problems of the mathematical theory of elasticity
L. V. Idel's, Yu.I. Solov'er (1981)
One form of the integral equations for the solution of plane problems of elasticityMechanics of Solids, 16
Tang Renji, Yinbang Wang (1986)
On the problem of crack system with an elliptic holeActa Mechanica Sinica, 2
In this paper, the concept of covering domain is introduced to develop a general expression for the Fredholm Integral Equations Method, by which elasticity problems of arbitrarily shaped bodies loaded by external forces can be solved. Some special expressions are given for a body with non-zero remote stresses, or subjected to some concentrated forces on its boundary. The relationship between the loading forces and solutions are also discussed. Some analytical solutions can be obtained for simple cases. When numerical computations are needed for the solution, the method proves to have high precision and fast convergency.
Acta Mechanica Sinica – Springer Journals
Published: Aug 12, 2006
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