Note on the removal of further breakdowns in classical solutions of Laplace's equation on sectorial regions

Journal of Elasticity

Volumn 56, Issue 3, 1999, Pages 247-252

  Sinclair, G B ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; ELASTIC MODULI; SHEAR STRESS; STRESS CONCENTRATION;

CRITICAL VERTEX ANGLES; LAPLACE EQUATIONS; LOGARITHMIC SINGULARITIES; NEUMANN CONDITIONS;

LAPLACE TRANSFORMS;

EID: 0033295217     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007659631382     Document Type: Article

References (8)

1. T.C.T. Ting, Elastic wedge subjected to antiplane shear tractions - a paradox explained. Q. J. Mech. Appl. Math. 38 (1985) 245-255.
2. L.E. Fraenkel, On corner eddies in plane inviscid shear flow. J. Fluid Mech. 11 (1961) 400-408.
3. H.K. Moffatt and B.R. Duffy, Local similarity solutions and their limitations. J. Fluid Mech. 96 (1980) 299-313.
4. F.B. Hildebrand, Advanced Calculus for Applications, 2nd edn. Prentice-Hall Incorporated, New Jersey (1976).
5. J.P. Dempsey, The wedge subjected to tractions: A paradox resolved. J. Elasticity 11 (1981) 1-10.
6. 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.
7. G.B. Sinclair, On the influence of cohesive stress-separation laws on elastic stress singularities. J. Elasticity 44 (1996) 203-221.
8. G.B. Sinclair, Analysis of some antiplane shear problems for angular elastic wedges. Report SM 99-3, Dept. of Mechanical Engineering, Carnegie Mellon University (1999).