Stress singularities at angular corners in first-order shear deformation plate theory

International Journal of Mechanical Sciences

Volumn 45, Issue 1, 2003, Pages 1-20

  Huang, C S ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

Eigenfunction expansion; First order shear deformation plate theory (FSDPT); Stress singularities

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; SHEAR DEFORMATION; VIBRATIONS (MECHANICAL);

CLASSIC PLATE THEORY;

STRESS ANALYSIS;

EID: 0037269915     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7403(03)00046-8     Document Type: Article

References (22)

1. Williams ML. Stress singularity, adhesion, and fracture. Proceeding of Fifth US National Congress of Applied Mechanics, Minneapolis, Minnesota, 1966. p. 451-64.
2. Bartholomew P. Solution of elastic crack problems by superposition of finite element and singular field. Computer Methods in Applied Mechanics and Engineering. 13(4):1978;59-78.
3. Leissa A.W., McGee O.G., Huang C.S. Vibrations of sectorial plates having corner stress singularities. Journal of Applied Mechanics. 60(1):1993;134-140.
4. Williams ML. Stress singularities resulting from various boundary conditions in angular corners of plates under bending. Proceeding of First US National Congress of Applied Mechanics, 1952. p. 325-9.
5. Williams M.L. Stress singularities resulting from various boundary conditions in angular corners of plates in extension. Journal of Applied Mechanics. 19(4):1952;526-528.
6. Williams ML, Chapkis RL. Stress singularities for a sharp-notched polarly orthotropic plate. Proceeding of Third US National Congress of Applied Mechanics, Providence, Rhode Island 1958. p. 281-6.
7. Dempsey J.P., Sinclair G.B. On the stress singularities in the plate elasticity of the composite wedge. Journal of Elasticity. 9(4):1979;373-391.
8. Hein V.L., Erdogan F. Stress singularities in a two-material wedge. International Journal of Fracture Mechanics. 7(3):1971;317-330.
9. Bogy D.B., Wang K.C. Stress singularities at interface corners in bonded dissimilar isotropic elastic materials. International Journal of Solids and Structure. 7(10):1971;993-1005.
10. Dempsey J.P., Sinclair G.B. On the stress singular behavior at the vertex of a bi-material wedge. Journal of Elasticity. 11(3):1981;317-327.
11. Ting T.C.T., Chou S.C. Edge singularities in anisotropic composites. International Journal of Solids and Structures. 17(11):1981;1057-1068.
12. Stroh A.N. Steady state problems in anisotropic elasticity. Journal of Mathematics and Physics. 41(2):1962;77-103.
13. Ojikutu I.O., Low R.O., Scott R.A. Stress singularities in laminated composite wedge. International Journal of Solids and Structures. 20(8):1984;777-790.
14. Burton W.S., Sinclair G.B. On the singularities in Reissner's theory for the bending of elastic plates. Journal of Applied Mechanics. 53:1986;220-222.
15. Huang C.S., Leissa A.W., McGee O.G. Exact analytical solutions for the vibrations of Mindlin sectorial plates with simply supported radial edges. International Journal of Solid and Structures. 31(11):1994;1609-1631.
16. Reissner E. The effect of transverse shear deformation on the bending of elastic plates. Journal of Applied Mechanics. 12:1945;69-77.
17. Mindlin R.D. Influence of rotatory inertia and shear on flexural motion of isotropic, elastic plates. Journal of Applied Mechanics. 18:1951;31-38.
18. Xie M., Chaudhuri R.A. Three-dimensional stress singularity at a bimaterial interface crack front. Composite Structures. 40(2):1998;137-147.
19. Chaudhuri R.A., Xie M. A novel eigenfunction expansion solution for three-dimensional crack problems. Composite Science and Technology. 60:2000;2565-2580.
20. Hartranft R.J., Sih G.C. The use of eigenfunction expansions in the general solution of three-dimensional crack problems. Journal of Mathematics and Mechanics. 19(2):1969;123-138.
21. Mindlin R.D., Deresiewicz H. Thickness-shear and flexural vibrations of a circular disk. Journal of Applied Physics. 25:1954;1329-1332.
22. McGee O.G., Leissa A.W., Huang C.S. Vibrations of cantilevered skewed plates with corner stress singularities. International Journal of Numerical Methods in Engineering. 35(2):1992;409-424.