The wedge subjected to tractions: a paradox re-examined
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OpenAlex topics: Elasticity and Material Modeling · Fatigue and fracture mechanics · Composite Material Mechanics
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References (12)
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2. E. Sternberg, and W.T. Koiter, The wedge under a concentrated couple: a paradox in the two-dimensional theory of elasticity. J. Appl. Mech. 25 (1958) 575–581. (See also the discussion in Vol. 26 (1959) 472–474.)10.1115/1.4011875 ↗
3. W.W. Klingbeil, and R.T. Shield, On a class of solutions in plane finite elasticity. Z. Angew. Math. Phys. 17 (1966) 489–511.10.1007/BF01595984 ↗
4. H.K. Moffatt, and B.R. Duffy, Local similarity solutions and their limitations. J. Fluid Mech. 96 (1980) 299–313.10.1017/S0022112080002133 ↗
5. J.P. Dempsey, The wedge subjected to tractions: a paradox resolved. J. Elasticity 11 (1981) 1–10.10.1007/BF00042478 ↗
6. M.L. Williams, Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J. Appl. Mech. 19 (1952) 526–528.10.1115/1.4010553 ↗
7. T.C.T. Ting and S.C. Chou, Edge singularities in anisotropic composites, Int. J. Solids Structures 17 (1981) 1057–1068.10.1016/0020-7683(81)90013-5 ↗
8. A.H. England, On stress singularities in linear elasticity. Int. J. Eng. Sci. 9 (1971) 571–585.10.1016/0020-7225(71)90039-5 ↗
9. J.P. Dempsey and G.B. Sinclair, On the stress singularities in the plane elasticity of the composite wedge, J. Elasticity 9 (1979) 373–391.10.1007/BF00044615 ↗
10. J.P. Dempsey, Private communications.
11. T.C.T. Ting, A paradox on the elastic wedge subjected to a concentrated couple and on the Jeffery-Hamel viscous flow problems. Zeit. Ang. Math. Mech. To appear.
12. T.C.T. Ting, Elastic wedge subjected to anti-plane shear tractions — A paradox explained. Quarterly Journal of Mechanics and Applied Mathematics (to appear).