Stochastic finite element buckling analysis of laminated plates with circular cutout under uniaxial compression

Journal of Applied Mechanics, Transactions ASME

Volumn 74, Issue 4, 2007, Pages 798-809

  Onkar, A K ^a   Upadhyay, C S ^a   Yadav, D ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Centrally located cutout; Laminated composite plate; Layerwise plate model; Random material properties; Stochastic buckling analysis

Indexed keywords

BOUNDARY CONDITIONS; BUCKLING; ELASTIC MODULI; FINITE ELEMENT METHOD; LAMINATED COMPOSITES; PERTURBATION TECHNIQUES; STOCHASTIC CONTROL SYSTEMS;

LAMINATED COMPOSITE PLATE; LAMINATED COMPOSITE PLATES; LAYERWISE PLATE MODELS; RANDOM MATERIAL PROPERTIES; STOCHASTIC BUCKLING ANALYSIS; UNIAXIAL COMPRESSION;

PLATES (STRUCTURAL COMPONENTS);

EID: 34548262637     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2711230     Document Type: Article

References (33)

1. Lin, S. C., and Kam, T. Y., 2000, "Probabilistic Failure Analysis of Transversely Loaded Laminated Composite Plates Using First Order Second Moment Method," J. Eng. Mech., 126(8), pp. 812-820.
2. Babuska, I., Andersson, B., Smith, P. J., and Levin, K., 1999, "Damage Analysis of Fiber Composites: Part I: Statistical Analysis on Fiber Scale," Comput, Methods Appl. Mech. Eng., 172, pp. 27-77.
3. Kaminski, M., and Kleiber, M., 2000, "Perturbation Based Stochastic Finite Element Method for Homogenization of Two-Phase Elastic Composites," Comput. Struct., 78, pp. 811-826.
4. Chamis, C. C., 2004, "Probabilistic Simulation of Multi-Scale Composite Behavior," Theor. Appl. Fract. Mech., 41(1-3), pp. 51-61.
5. Buryachenko, B. A., Pagano, N. J., Kim, R. Y., and Spowart, J. E., 2003, "Quantitative Description and Numerical Simulation of Random Microstructures of Composites and their Effective Elastic Moduli," Int. J. Solids Struct., 40, pp. 47-72.
6. Kleiber, M., and Hien, T. D., 1992, The Stochastic Finite Element Method, Wiley, New York.
7. Liu, W. M., Belytchko, T., and Mani, A., 1986, "Probabilistic Finite Elements for Nonlinear Structural Dynamics," Comput. Methods Appl. Mech. Eng., 56, pp. 61-81.
8. Ghanem, R. G., and Spanos, P. D., 1991, Stochastic Finite Element: A Spectral Approach, Springer, New York.
9. Cruz, M. E., and Patera, A. T., 1995, "A Parallel Monte Carlo Finite Element Procedure for the Analysis of Multicomponent Media," Int. J. Numer. Methods Eng., 38, pp. 1087-1121.
10. Hurtado, J. E., and Barbat, A. H., 1998, "Monte Carlo Techniques in Computational Stochastic Mechanics," Arch. Comput. Methods Eng., 5(1), pp. 3-30.
11. Yettram, A. L., and Brown, C. J., 1986, "The Elastic Stability of Square Perforated Plates Under Biaxial Loadings," Comput. Struct., 22(4), pp. 589-594.
12. Nemeth, M. P., Stein, M., and Johnson, E. R., 1986, "An Approximate Buckling Analysis for Rectangular Orthotropic Plates With Centrally Located Cutouts," NASA Technical Paper No.-2528, NASA, Washington, D.C.
13. Nemeth, M. P., 1986, "Importance of Anisotropy on Buckling of Compression Loaded Symmetric Composite Plates," AIAA J., 24, pp. 1831-1835.
14. Larsson, P. L., 1987, "On Buckling of Orthotropic Compressed Plates With Circular Holes," Compos. Struct., 7, pp. 103-121.
15. Lin, C. C., and Kuo, C. S., 1989, "Buckling of Laminated Plates With Holes," J. Compos. Mater., 23, pp. 536-553.
16. Srivasta, K. S., and Krishnamurthy, A. V., 1992, "Stability of Laminated Composite Plates With Cut-Outs," Comput. Struct., 43(2), pp. 273-279.
17. Sabir, A. B., and Chow, F. Y., 1986, "Elastic Buckling of Plates Containing Eccentrically Located Circular Holes," Thin-Walled Struct., 4(2), pp. 135-150.
18. Shakerley, T. M., and Brown, C. J., 1996, "Elastic Buckling of Plates With Eccentrically Positioned Rectangular Perforations," Int. J. Mech. Sci., 38(8-9), pp. 825-838.
19. Noor, A. K., and Kim, Y. H., 1996, "Buckling and Postbuckling of Composite Panels With Cutouts Subjected to Combined Edge Shear and Temperature Change," Comput. Struct., 60(2), pp. 203-222.
20. Bailey, R., and Wood, J., 1997, "Postbuckling Behaviour of Square Compression Loaded Graphite Epoxy Panels With Square and Elliptical Cutouts," Thin-Walled Struct., 28(3-4), pp. 373-397.
21. Nemeth, M. P., 1988, "Buckling Behavior of Compression Loaded Symmetrically Laminated Angle-Ply Plates With Holes," AIAA J., 26(3), pp. 330-336.
22. Zhang, J., and Ellingwood, B., 1995, "Effects of Uncertain Material Properties on Structural Stability," J. Struct. Eng., 121(4), pp. 705-716.
23. Lin, S. C., 2000, "Buckling Failure Analysis of Random Composite Laminates Subjected to Random Loads," Int. J. Solids Struct., 37, pp. 7563-7576.
24. Singh, B. N., Yadav, D., and Iyengar, N. G. R., 2001, "Initial Buckling of Composite Cylindrical Panels With Random Material Properties," Compos. Struct., 53, pp. 55-64.
25. Elishakoff, I., 2000, "Uncertain Buckling: Its Past, Present and Future," Int. J. Solids Struct., 37, pp. 6869-6889.
26. Grigoriu, M., 2000, "Stochastic Mechanics," Int. J. Solids Struct., 37, pp. 197-214.
27. Argyris, J., Papadrakakis, M., and Stefanou, G., 2002, "Stochastic Finite Element Analysis of Shells," Comput. Methods Appl. Mech. Eng., 191, pp. 4781-4804.
28. Stefanou, G., and Papadrakakis, M., 2004, "Stochastic Finite Element Analysis of Shell With Combined Random Material and Geometric Properties," Comput. Methods Appl. Mech. Eng., 193, pp. 139-160.
29. Christensen, R. M., 1979, Mechanics of Composite Materials, Krieger, Malabar, FL.
30. Ahmad, N. U., and Basu, P. K., 1994, "Higher-Order Finite Element Modeling of Laminated Composite Plates," Int. J. Numer. Methods Eng., 37, pp. 123-139.
31. Actis, R. L., Szabo, B. A., and Schwab, C., 1999, "Hierarchic Models for Laminated Plates and Shells," Comput. Methods Appl. Mech. Eng., 172, pp. 79-107.
32. Jones, R. M., 1975, Mechanics of Composite Materials, Scripta Book Company, Washington, DC.
33. Reddy, J. N., and Khedir, A. A., 1989, "Buckling and Vibration of Laminated Composite Plates Using Various Plate Theories," AIAA J., 27(12), pp. 1808-1817.