Derivations of integral equations of elasticity

Journal of Engineering Mechanics

Volumn 114, Issue 6, 1988, Pages 1028-1044

  Hong, Hong Ki ^a   Chen, Jeng Tzong ^b  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY INTEGRAL EQUATIONS; ELASTICITY;

ANALYTICAL AND NUMERICAL SOLUTIONS; ANALYTICAL STUDIES; DUAL BOUNDARY INTEGRAL EQUATIONS; ELASTICITY PROBLEMS; KERNEL FUNCTION; NUMERICAL TREATMENTS; PHYSICAL MEANINGS; POTENTIAL THEORY;

INTEGRAL EQUATIONS;

EID: 31744434224     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(1988)114:6(1028)     Document Type: Article

References (20)

1. Banerjee, P. K., and Butterfield, R. (1981). Boundary element method in engineering science. McGraw-Hill, New York, N.Y.
2. Brebbia, C. A., Tells, J. C. F., and Wrobel, L. C. (1984). Boundary element techniques. Springer-Verlag.
3. Buecker, H. F. (1973). "Field singularities and related integral representations." Mechanics of fracture, Vol. 1, G. C. Sih, ed.
4. Crouch, S. L., and Starfield, A. M. (1983). "Boundary element methods in solid mechanics." Berne Convention.
5. Cruse, T. A. (1975). "Computational applications in applied mechanics." AMD-11, T. A. Cruse and Rizzo, eds. ASME, 31-46.
6. Elliott, D. (1980). "Ninety years on." Application and numerical solution of integral equations, R. S. Anderson, F. R. de Hoog, and M. A. Lukas, eds. Noordoff.
7. Hadamard, J. (1952). Lectures on Conchy's problem in linear partial differential equations, Dover Publications, Inc., Mineola, N.Y.
8. Hartmann, F. (1981). "The Somigliana identity on piecewise smooth surfaces." /. Elast., 11, 403-423.
9. Hartmann, F. (1982). "Elastic potentials on piecewise smooth surfaces." J. Elast., 12, 31-50.
10. Hashmi, S. H., and Delves, L. M. (1982). "The fast Galerkin method for the solution of Cauchy singular integral equations." in Treatment of integral equations by numerical methods, Baker et al., eds., Academic Press, Orlando, Fla.
11. Heise, U. (1978). "Application of the singularity method for the formulation of plane elastostatical boundary value problems as integral equations.'' Acta Mech., 31, 33-69.
12. Kupradze, V. D. (1963). Potential methods in the theory of elasticity. Translated from Russian by Israel Program for Scientific Translation, Jerusalem, Israel.
13. Kupradze, V. D., et al. (1979). Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity. North-Holland Publ. Co.
14. Lardner, R. W. (1972). "Dislocation layers and boundary value problems of plane elasticity." Q. J. Mech. Math. 25, 45-61.
15. Lauricella, G. (1909). "Sur Pintegration de Pequation relative a Pequilibre des plaques elastiques encastrees." Acta Math., 32 (in French).
16. Ligget, J. A., and Liu, P. L-F. (1983). The boundaiy integral equation method for porous media flow. Allen & Unwin.
17. Massonnet, C. E. (1965).*'Numerical use of integral procedures." Stress analysis, O. C. Zienkiewicz and G. S. Holister, eds., John Wiley and Sons, London, U.K.
18. Mikhlin, S. G. (1970). Mathematical physics: an advanced course. Elsevier.
19. Muskhelishvili, N. I. (1953). Some basic problems of the mathematical theory of elasticity. Noordoff.
20. Rizzo, F. J. (1967). "An integral equation approach to boundary value problems of classical elastostatics." Q. Appl. Math., 40, 83-95.