A new three-dimensional shell theory in general (non-lines-of-curvature) coordinates for analysis of curved panels weakened by through/part-through holes

Composite Structures

Volumn 89, Issue 2, 2009, Pages 321-332

  Chaudhuri, Reaz A ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

Arbitrary curvature and twist; Interlaminar shear deformation; Shell theory; Stress concentration factor (SCF); Three dimensional; Wedge singularity

Indexed keywords

COMPUTATIONAL GEOMETRY; ELASTIC MODULI; FATIGUE OF MATERIALS; GEODESY; SHEAR DEFORMATION; STRESS CONCENTRATION; THREE DIMENSIONAL; VARIATIONAL TECHNIQUES;

ARBITRARY CURVATURE AND TWIST; INTERLAMINAR SHEAR DEFORMATION; SHELL THEORY; STRESS CONCENTRATION FACTOR (SCF); WEDGE SINGULARITY;

SHELLS (STRUCTURES);

COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; SHEAR PROPERTY; STRUCTURAL ANALYSIS; SURFACE PROPERTY;

EID: 61449111828     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2008.07.005     Document Type: Article

References (32)

1. Lurie A.L. Concentration of stresses in the vicinity of an aperture in the surface of a circular cylinder. Prikladnaya Matematika Mekhanika [translated as J Appl Math Mech] 10 (1946) 397-406
2. Lekkerkerker J.G. Stress concentration around circular holes in cylindrical shells. AIAA J 10 (1964) 1466-1472
3. Naghdi A.K., and Eringen A.C. Stress distribution in a circular cylindrical shell with a circular cutout. Ing-Arch 34 (1965) 161-172
4. Van Dyke P. Stresses about a circular hole in a cylindrical shell. AIAA J 3 (1965) 1733-1742
5. Sanders Jr. J.L. Cutouts in shallow shells. ASME J Appl Mech 37 (1970) 374-383
6. Tingleff O. The stress concentration in a cylindrical shell with an elliptical cutout. AIAA J 9 (1971) 2289-2291
7. Tsai C.J., and Sanders Jr. J.L. Elliptical cutouts in cylindrical shells. ASME J Appl Mech 42 (1975) 326-334
8. Seide P., and Hafez A.S. Stress concentration in a stretched cylindrical shell with two equal circular holes. ASME J Appl Mech 42 (1975) 105-109
9. Seide P. Small elastic deformations of thin shells (1975), Noordhoff, Leyden, The Netherlands
10. Guz A.N., Chernyshenko I.S., and Shnerenko K.I. Stress concentration near openings in composite shells. Int Appl Mech 37 (2001) 139-181
11. Shnerenko K.I., and Godzula V.F. Stress distribution in a composite cylindrical shell with a large circular opening. Int Appl Mech 39 (2003) 1323-1327
12. Liang C., Hsu C., and Chen W. Curvature effect on stress concentrations around circular hole in opened shallow cylindrical shell under external pressure. Int J Pres Ves Pip 75 (1998) 749-763
13. Oterkus E, Madenci E, Nemeth MP. Stress analysis of composite cylindrical shells with an elliptical cutout. AIAA Paper # 2005-1824 (presented at 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference, April 18-21, 2005, Austin, TX).
14. Chaudhuri R.A., and Seide P. Triangular element for analysis of a stretched plate weakened by a part-through hole. Comput Struct 24 (1986) 97-105
15. Chaudhuri R.A. Stress concentration around a part-through hole weakening a laminated plate. Comput Struct 25 (1987) 361-384
16. Chaudhuri R.A. Weakening effects of internal part-through elliptic holes on homogeneous and laminated composite plates. Compos Struct 81 (2007) 362-373
17. Seide P., and Chaudhuri R.A. Triangular finite element for analysis of thick laminated shells. Int J Numer Methods Eng 24 (1987) 1563-1579
18. Chaudhuri R.A. A degenerate triangular shell element with constant cross-sectional warping. Comput Struct 28 (1987) 315-325
19. Chaudhuri R.A., and Seide P. Triangular finite element for analysis of thick laminated plates. Int J Numer Methods Eng 24 (1987) 1203-1224
20. Chaudhuri R.A. Analysis of laminated shear-flexible angle-ply plates. Compos Struct 67 (2005) 71-84
21. Chaudhuri R.A. A simple and efficient plate bending element. Comput Struct 25 (1987) 817-824
22. Chaudhuri R.A., and Seide P. Triangular element for analysis of perforated plates under inplane and transverse loads. Comput Struct 24 (1986) 87-95
23. Korn G.A., and Korn T.M. Differential geometry. 2nd ed. Mathematical handbook (1968), McGraw-Hill, New York [chapter 17]
24. Fung Y.C. Foundations of solid mechanics (1965), Prentice-Hall, Englewood Cliffs (NJ)
25. Chaudhuri R.A. Three-dimensional asymptotic stress field in the vicinity of the line of intersection of a circular cylindrical through/part-through open/rigidly plugged hole and a plate. Int J Fracture 122 (2003) 65-88
26. Williams M.L. Stress singularities resulting from various boundary conditions in angular corners of plates in extension. ASME J Appl Mech 19 (1952) 526-528
27. Whitcomb J.D., Raju I.S., and Goree J.G. Reliability of the finite element method for calculating free edge stresses in composite laminates. Comput Struct 15 (1982) 23-27
28. Chaudhuri R.A. Computation of transverse shear stresses in the vicinity of the circumferential re-entrant corner line of an internal part-through hole weakening an edge-loaded plate. Compos Struct 89 2 (2009) 315-320
29. Chaudhuri RA. Transverse shear stress distribution through thickness in the vicinity of an internal part-through elliptical hole weakening an edge-loaded plate. Compos Struct, submitted for publication.
30. Chaudhuri R.A., and Chiu S.J. Three-dimensional asymptotic stress field at the front of an unsymmetric bimaterial wedge associated with matrix cracking or fiber break. Compos Struct 78 (2007) 254-263
31. Green A.E., and Zerna W. Theoretical elasticity (1960), Oxford University Press, London
32. Chaudhuri R.A. A nonlinear zigzag theory for finite element analysis of highly shear-deformable laminated anisotropic shells. Compos Struct 85 (2008) 350-359