Hierarchical models for failure analysis of plates bent by distributed and localized transverse loadings

Journal of Zhejiang University: Science A

Volumn 9, Issue 5, 2008, Pages 600-613

  Carrera, Erasmo ^a   Giunta, Gaetano ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Exact 3D solution; Failure load; Higher order theories (HOTs); Isotropic plates; Von Mises' equivalent stress

Indexed keywords

BENDING (DEFORMATION); FAILURE ANALYSIS; MATHEMATICAL MODELS; SHEAR DEFORMATION; STRUCTURAL LOADS;

EQUIVALENT STRESS; FAILURE LOAD; FAILURE LOCATIONS; HIGHER ORDER THEORIES (HOT); ISOTROPIC PLATES; THREE DIMENSIONAL SOLUTIONS;

PLATES (STRUCTURAL COMPONENTS);

EID: 44449168448     PISSN: 1673565X     EISSN: 18621775     Source Type: Journal    
DOI: 10.1631/jzus.A072110     Document Type: Article

References (24)

1. Carrera, E., 2002. Theories and finite elements for multilayered plates and shells. Archives of Computational Methods in Engineering, 9(2):87-140. [doi:10.1007/BF02736649]
2. Carrera, E., 2003. Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking. Archives of Computational Methods in Engineering, 10(3):215-296. [doi:10.1007/BF02736224]
3. Carrera, E., Giunta, G., 2007. Hierarchical closed form solutions for plates bent by localized transverse loadings. Journal of Zhejiang University SCIENCE A, 8(7):1026-1037. [doi:10.1631/jzus.2007.A1026]
4. Cauchy, A.L., 1828. Sur l'euilibre et le mouvement d'une plaque solide. Exercises de Matematique, 3:328-355.
5. Demasi, L., 2007. 3D closed form solution and exact thin plate theories for isotropic plates. Composites Structures, 80(2):183-195. [doi:10.1016/j. compstruct.2006.04.073]
6. Kam, T.Y., Jan, T.B., 1995. First-ply failure analysis of laminated composite plates based on the layerwise linear displacement theory. Composites Structures, 32(1-4):583-591. [doi:10.1016/0263-8223(95)00069-0]
7. Kirchhoff, G., 1850. Über das Gleichgewicht und die Bewegung einer elastishen Sceibe. J. Reine Angew. Math., 40:51-88.
8. Librescu, L., 1975. Elasto-statics and Kinematics of Anisotropic and Heterogeneous Shell-type Structures. Nordhoff Int., Leiden, The Netherlands.
9. Love, A.E.H., 1959. A Treatise on Mathematical Theory of Elasticity. Cambridge University Press, UK.
10. Mindlin, E., 1951. Influence of the rotatory inertia and shear in flexural motions of isotropic elastic plates. J. Appl. Mech., 18:1031-1036.
11. Pandey, A.K., Reddy, J.N., 1987. A Post First-ply Failure Analysis of Composites Laminates. Structures, Structural Dynamics and Materials Conference, Monterey, CA, USA, p.788-797.
12. Poisson, S.D., 1829. Memoire sur l'euilibre et le mouvement des corps elastique. Mem. Acad. Sci., 8:357.
13. Reddy, J.N., 1984. A simple higher-order theory for laminated composite plates. J. Appl. Mech., 51:745-752.
14. Reddy, J.N., 1997. Mechanics of Laminated Composites Plates. Theory and Analysis. CRC Press, Boca Raton, Florida.
15. Reddy, J.N., Pandey, A.K., 1987. A first-ply failure analysis of composites laminates. Computers and Structures, 25(3):371-393. [doi:10.1016/0045-7949(87)90130-1]
16. Reddy, Y.S.N., Reddy, J.N., 1987. Linear and Non Linear Failure Analysis of Composites Laminates with Transverse Shear. American Institute of Aeronautics and Astronautics, Inc.
17. Reissner, E., 1945. The effect of transverse shear deformation on the bending of elastic plates. J. Appl. Mech., 12:69-76.
18. Turvey, G.J., 1980a. An initial flexural failure analysis of symmetrically laminated cross-ply rectangular plates. International Journal of Solids and Structures, 16(5):451-463. [doi:10.1016/0020-7683 (80)90043-8]
19. Turvey, G.J., 1980b. Flexural failure analysis of angle-ply laminates of GFRP and CFRP. The Journal of Strain Analysis for Engineering Design, 15:43-49. [doi:10.1243/03093247V151043]
20. Turvey, G.J., 1980c. A study on the onset of flexural failure in cross-ply laminated strips. Fibre Science and Technology, 13(5):325-336. [doi:10.1016/0015-0568(80)90008-1]
21. Turvey, G.J., 1981. Initial flexural failure of square, simply supported, angle-ply plates. Fibre Science and Technology, 15(1):47-63. [doi:10.1016/0015-0568(81) 90031-2]
22. Turvey, G.J., 1982. Uniformly loaded, antisymmetric cross-ply laminated, rectangular plates: an initial flexural failure analysis. Fibre Science and Technology, 16(1):1-10. [doi:10.1016/0015-0568(82)90010-0]
23. Turvey, G.J., 1987. Effect of Shear Deformation on the Onset of Flexural Failure in Symmetric Cross-ply Laminated Rectangular Plates. In: Marshall, I.H. (Ed.), Composites Structures. Elsevier Applied Science, London, p.141-146.
24. Washizu, K., 1968. Variational Methods in Elasticity and Plasticity. Pergamon Press, NY.