Boussinesq's problem for an elastic half-space reinforced with a rigid disk inclusion

Mathematics and Mechanics of Solids

Volumn 5, Issue 4, 2000, Pages 483-499

  Selvadurai, A P S ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

INCLUSIONS; INTEGRAL EQUATIONS;

FREDHOLM INTEGRAL EQUATIONS; HOMOGENEOUS ELASTIC HALF-SPACES;

ELASTICITY;

EID: 0034507132     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128650000500406     Document Type: Article

References (22)

1. Boussinesq, J.: Application des potentiels a l'etude de l'equilibre et due mouvement des solides elastique, Gauthier-Villars, Paris, 1885.
2. Michell, J. H.: Some elementary distributions of stress in three dimensions. Proc. Lond. Math. Soc., B2, 23-35 (1900).
3. Love, A.E.H.: A Treatise on the Mathematical Theory of Elasticity, Cambridge University Press, Cambridge, UK, 1927.
4. Mindlin, R. D.: Force at a point in the interior of a semi-infinite solid. Physics, 7, 195-202 (1936).
5. Cerruti, V.: Sulla deformazione di uno strato isotropo indefinito limitato da due piani paralleli. Atti. Acad. Nazl. Lincei. Rend., 4(1), 521-522 (1884).
6. Mura, T.: Micromechanics of Defects in Solids, Sijthoff and Noordhoff, Martinus Nijhoff Publications, The Hague, the Netherlands, 1981.
7. Green, A. E. and Zerna, W: Theoretical Elasticity, Clarendon, Oxford, UK, 1968.
8. Atkinson, K. E.: A Survey of Numerical Methods for the Solutions of Fredholm Integral Equations of the Second-Kind, Soc. Ind. Appl. Math., Philadelphia, 1976.
9. Baker, C.T.H.: The Numerical Treatment of Integral Equations, Clarendon, Oxford, UK, 1977.
10. Delves, L. M. and Mohamed, J. L.: Computational Methods for Integral Equations, Cambridge University Press, Cambridge, UK, 1985.
11. Ufliand, I. S.: The contact problem of the theory of elasticity for a die, circular in its plane, in the presence of adhesion. Prikl. Mekh., 20, 578-587 (1956).
12. Mossakovskii, V.I.: The fundamental mixed boundary value problem of the theory of elasticity for a halfspace with a circular line separating the boundary conditions. Prikl. Math. Mekh., 18, 187-196 (1954).
13. Gladwell, G.M.L.: Contact Problems in the Classical Theory of Elasticity, Sijthoff and Noordhoff, Aalphen aan den Rijn, the Netherlands, 1980.
14. Willis, J. R. The penny-shaped crack on an interface. Q.J. Mech. Appl. Math., 25, 367-385 (1972).
15. Keer, L. M.: Mixed boundary value problems for a penny-shaped cut. J. Elasticity, 5, 89-98 (1975).
16. England, A. H.: On stress singularities in linear elasticity. Int. J. Engng. Sci., 9, 571-585 (1971).
17. Selvadurai, A.P.S.: Influence of boundary fracture on the elastic stiffness of a deeply embedded anchor plate. Int. J. Num. Analytical Meth. Geomech., 13, 159-170 (1989).
18. Selvadurai, A.P.S.: Analytical methods for embedded flat anchor problems in geomechanics. Computer Methods and Advances in Geomechanics, 1, 305-321 (1994).
19. Collins, W. D.: Some axially symmetric stress distributions in elastic solids containing penny-shaped cracks: I. Cracks in an infinite solid and a thick plate. Proc. Roy. Soc., A203, 359-386 (1962).
20. Kassir, M. K. and Sih, G. C.: Some three-dimensional inclusion problems in elasticity theory. Int. J. Solids Struct., 4, 225-241 (1968).
21. Selvadurai, A.P.S.: Load-deflexion characteristics of a deep anchor in an elastic medium. Geotechnique, 26, 405-418 (1976).
22. Selvadurai, A.P.S.: The axial loading of a rigid circular anchor plate embedded in an elastic halfspace. Int. J. Num. Analytical Meth. Geomech., 17, 343-353 (1993).