The best on plate/shell theories for laminated structures analysis

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 2008-January, Issue , 2008, Pages

  Carrera, E ^a   Brischetto, S ^a   Giunta, G ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

STOCHASTIC SYSTEMS; STRUCTURAL DYNAMICS; VIBRATION ANALYSIS;

CARRERA'S UNIFIED FORMULATION; FREE-VIBRATION ANALYSIS; FUNCTIONALLY GRADED PLATES; LAMINATED STRUCTURES; THICKNESS APPROXIMATIONS; THREE-DIMENSIONAL SOLUTIONS; TWO-DIMENSIONAL SOLUTIONS; TWO-DIMENSIONAL THEORY;

PLATES (STRUCTURAL COMPONENTS);

EID: 84996848344     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2008-2187     Document Type: Conference Paper

References (34)

1. Lekhnitskii, S. G., "Strenght calculation of composite beams", Vestn Inzhen Tekhnikov, Vol. 9, 1935, pp. 137-148.
2. Lekhnitskii, S. G., Anisotropic Plates, Gordon and Breach Science Publishers, New York, 1968.
3. Carrera, E., "A historical review of zig-zag theories for multilayered plates and shells", Applied Mechanics Reviews, Vol. 56, No. 3, 2003, pp. 287-308.
4. Carrera, E., "A class of two-dimensional theories for anisotropic multilayered plates analysis", Atti Accademia delle Scienze di Torino, Memorie Scienze Fisiche, Vol. 19-20, 1995, pp. 49-87.
5. Carrera, E. and Demasi, L., "Classical and advanced multilayered plate elements based upon PVD and RMVT. Part 1: derivation of finite element matrices", International Journal for Numerical Methods in Engineering, Vol. 55, No. 2, 2002, pp. 191-231.
6. Carrera, E. and Demasi, L., "Classical and advanced multilayered plate elements based upon PVD and RMVT. Part 2: numerical implementation", International Journal for Numerical Methods in Engineering, Vol. 55, No. 3, 2002, pp. 253-291.
7. Carrera, E. and Brischetto, S., "Analysis of thickness locking in classical, refined and mixed multilayered plate theories", Composite Structures, Vol. 82, No. 4, 2008, pp. 549-562.
8. Carrera, E. and Brischetto, S., "Analysis of thickness locking in classical, refined and mixed theories for layered shells", Composite Structures, in press, available on line on October 2007.
9. Reddy, J. N., Mechanics of Laminated Composite Plates, Theory and Analysis, CRC Press, New York, 2004.
10. Cauchy, A. L., "Sur l'equilibre et le mouvement d'une plaque solide", Exercises de Matematique, Vol. 3, 1828, pp. 328-355.
11. Poisson, S. D., "Memoire sur l'equilibre et le mouvement des corps elastique", Mem. Acad. Sci., Vol. 8, 1829, pp. 357.
12. Kirchhoff, G., "Uber das Gleichgewicht und die Bewegung einer elastishen Scheibe", Crelles Journal, Vol. 40, 1850, pp. 51-88.
13. Reissner, E., "The effect of transverse shear deformation on the bending of elastic plates", Journal of Applied Mechanics, Vol. 12, 1945, pp. 69-76.
14. Mindlin, R. D., "Influence of rotatory inertia and shear in flexural motions of isotropic elastic plates", Journal of Applied Mechanics, Vol. 18, 1951, pp. 31-28.
15. Murakami, H., "Laminated composite plate theory with improved in-plane responses", Journal of Applied Mechanics, Vol. 53, 1986, pp. 661-666.
16. Carrera, E., "On the use of Murakami's zig-zag function in the modeling of layered plates and shells", Computers and Structures, Vol. 82, No. 7-8, 2004, pp. 541-554.
17. Carrera, E., "Developments, ideas and evaluations based upon the Reissner's mixed variational theorem in the modeling of multilayered plates and shells", Applied Mechanics Reviews, Vol. 54, No. 4, 2001, pp. 301-329.
18. Reissner, E., "On a certain mixed variational theory and a proposed application", International Journal for Numerical Methods in Engineering, Vol. 20, 1984, pp. 1366-1368.
19. Pagano, N. J., "Exact solutions for Composite Laminates in Cylindrical Bending", Journal of Composites Materials, Vol. 3, 1969, pp. 398-411.
20. Carrera, E. and Brischetto, S., "A survey with numerical assessments of classical and refined theories for the analysis of sandwich plates", Applied Mechanics Reviews, in press, 2008.
21. Ren, G. J., "Exact solutions for laminated cylindrical shells in cylindrical bending", Composites Science and Technology, Vol. 29, 1987, pp. 169-187.
22. Carrera, E. and Brischetto, S., "An assessment of shell theories for sandwich panels with soft core", submitted to Journal of Sandwich Structures and Materials, 2008.
23. Kashtalyan, M., "Three-dimensional elasticity solution for bending of functionally graded rectangular plates", European Journal of Mechanics A/Solids, Vol. 23, 2004, pp. 853-864.
24. Carrera, E., Brischetto, S., and Robaldo, A., "Variable kinematic model for the analysis of functionally graded material plates", AIAA Journal, Vol. 46, No. 1, 2008, pp. 194-203.
25. Brischetto, S. and Carrera, E., "Advanced mixed theories for bending analysis of functionally graded plates", submitted to Computers and Structures, 2008.
26. Carrera, E., Giunta, G., and Brischetto, S., "Hierarchical closed form solutions for plates bent by localized transverse loadings", Journal of Zhejiang University SCIENCE A, Vol. 8, No. 7, 2007, pp. 1026-1037.
27. Baskar, K. and Varadan, T. K., "Benchmark elasticity solution for locally loaded laminated orthotropic cylindrical shells", AIAA Journal, Vol. 32, 1994, pp. 627-632.
28. Carrera, E., Giunta, G., and Brischetto, S., "Hierarchical models for laminated composite shells under localized bending loading", APCOM'07 in conjunction with EPMESCXI, December 3-6, 2007, Kyoto, Japan.
29. Tsai, S. W. and Wu, E. M., "A general theory of strength for anisotropic materials", Journal of Composite Materials, Vol. 5, 1971, pp. 58-80.
30. Tsai, S. W., Composites Design, Think Composites, 3rd ed., Dayton, OH (USA), 1987.
31. Hashin, Z., "Failure criteria for unidirectional fiber composites", Journal of Applied Mechanics, Vol. 47, 1980, pp. 329-334.
32. Pagano, N. J., "Exact solutions for rectangular bidirectional composites and sandwich plates", Journal of Composites Materials, Vol. 4, 1970, pp. 20-34.
33. Giunta, G. and Carrera, E., "Evaluation of failure parameter in laminate plates", to be submitted.
34. Giunta, G. and Carrera, E., "Stochastic modal analysis of composite plates via closed form hierarchical models", XIX national congress AIDAA, September 17-21, 2007, Forli, Italy.