Deformations of an elastic half plane with a circular cavity

International Journal of Solids and Structures

Volumn 35, Issue 21, 1998, Pages 2795-2804

  Verruijt, A ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DEFORMATION; NUMERICAL ANALYSIS; PROBLEM SOLVING; STRESSES;

CIRCULAR CAVITY; ELASTIC HALF PLANE;

ELASTICITY;

EID: 0032108517     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00194-7     Document Type: Article

References (12)

1. Callias, C. J. and Markenscoff, X. (1989) Singular asymptotics analysis for the singularity at a hole near a boundary. Quarterly Applied Mathematics 47, 233-245.
2. Coker, E. G. and Filon, L. N. G. (1931) Photo-elasticity. Cambridge University Press, Cambridge.
3. Georgiadis, H. G., Rigatos, A. P. and Charalambakis, N. C. (1995) Dynamic stress concentration around a hole in a viscoelastic plate. Acta Mechanica 111, 1-12.
4. Jeffery, G. B. (1920) Plane stress and plane strain in bipolar coordinates. Transactions of the Royal Society Series A 221, 265-293.
5. Mindlin, R. D. (1940) Stress distribution around a tunnel. Transactions of the ASCE, 1117-1153.
6. Mindlin, R. D. (1948) Stress distribution around a hole near the edge of a plate under tension. Proceedings of the Society of Experimental Stress Analysis 5, 56-67.
7. Muskhelishvili, N. I. (1953) Some Basic Problems of the Mathematical Theory of Elasticity, translated from the Russian by J. R. M. Radok. Noordhoff, Groningen.
8. Rajapakse, R. K. N. D. and Gross, D. (1995) Transient response of an orthotropic elastic medium with a cavity. Wave Motion 21, 231-252.
9. Sokolnikoff, I. S. (1956) Mathematical Theory of Elasticity, 2nd edn. McGraw-Hill, New York.
10. Timoshenko, S. P. and Goodier, J. N. (1970) Theory of Elasticity, 3rd edn. McGraw-Hill, New York.
11. Verruijt, A. (1997) A complex variable solution for a deforming circular tunnel in an elastic half-plane. International Journal of Numerical and Analytical Methods in Geomechanics 21, 77-89.
12. Verruijt, A. and Booker, J. R. (1996) Surface settlements due to deformation of a tunnel in an elastic half plane. Géotechnique 46, 753-756.