An elasticity solution for the global buckling of sandwich beams/wide panels with orthotropic phases

Journal of Applied Mechanics, Transactions ASME

Volumn 77, Issue 2, 2010, Pages 1-7

  Kardomateas, George A ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEAM MODEL; COMPRESSIVE LOADING; CONSTITUENT PHASIS; EIGEN-VALUE; ELASTICITY SOLUTIONS; GEOMETRIC CONFIGURATIONS; GLOBAL BUCKLING; ORTHOTROPIC PHASIS; SANDWICH COLUMNS; SANDWICH CONSTRUCTION; SANDWICH PANEL; SANDWICH PLATES; VALUE PROBLEMS;

DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; SANDWICH STRUCTURES;

BUCKLING;

EID: 77955255939     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3173758     Document Type: Article

References (22)

1. Allen, H. G., 1969, Analysis and Design of Structural Sandwich Panels, Pergamon, Oxford, Chap. 8.
2. Bazant, Z. P., and Cedolin, L., 1991, Stability of Structures, Oxford University Press, New York, pp. 30-35.
3. Engesser, F., 1891, "Die Knickfestigheit gerader Stabe,"Zentralblatt der Bauverwaltung, 11, pp. 483-486.
4. Huang, H., and Kardomateas, G. A., 2002, "Buckling and Initial Postbuckling Behavior of Sandwich Beams Including Transverse Shear,"AIAA J., 40(11), pp. 2331-2335.
5. Haringx, J. A., 1948, "On Highly Compressible Helical Springs and Rubber Rods, and Their Application for Vibration-Free Mountings, I,"Philips Res. Rep., 3, pp. 401-449.
6. Haringx, J. A., 1949, "On Highly Compressible Helical Springs and Rubber Rods, and Their Application for Vibration-Free Mountings, II,"Philips Res. Rep., 4, pp. 49-80.
7. Hoff, N. J., and Mautner, S. F., 1945, "The Buckling of Sandwich-Type Panels,"J. Aeronaut. Sci., 12(3), pp. 285-297.
8. Ji, W., and Waas, A. M., 2008, "Wrinkling and Edge Buckling in Orthotropic Sandwich Beams,"J. Eng. Mech., 134, pp. 455-461.
9. Kardomateas, G. A., 1993, "Buckling of Thick Orthotropic Cylindrical Shells Under External Pressure,"ASME J. Appl. Mech., 60, pp. 195-202.
10. Kardomateas, G.A., 1993, "Stability Loss in Thick Transversely Isotropic Cylindrical Shells Under Axial Compression,"ASME J. Appl. Mech., 60, pp. 506-513.
11. Kardomateas, G. A., 1995, "Bifurcation of Equilibrium in Thick Orthotropic Cylindrical Shells Under Axial Compression,"ASME J. Appl. Mech., 62, pp. 43-52.
12. Kardomateas, G. A., and Simitses, G. J., 2005, "Bucking of Long Sandwich Cylindrical Shells Under External Pressure,"ASME J. Appl. Mech., 72(4), pp. 493-499.
13. Lekhnitskii, S. G., 1963, Theory of Elasticity of an Anisotropic Elastic Body, Holden Day, San Francisco, CA.
14. Kardomateas, G. A., 2001, "Elasticity Solutions for a Sandwich Orthotropic Cylindrical Shell Under External Pressure, Internal Pressure and Axial Force,"AIAA J., 39(4), pp. 713-719.
15. Kardomateas, G. A., 2005, "Wrinkling of Wide Sandwich Panels/Beams With Orthotropic Phases by an Elasticity Approach,"ASME J. Appl. Mech., 72, pp. 818-825.
16. Bazant, Z. P., 1971, "A Correlation Study of Formulations of Incremental Deformation and Stability of Continuous Bodies,"ASME J. Appl. Mech., 38(4), pp. 919-928.
17. Bazant, Z. P., and Beghini, A., 2006, "Stability and Finite Strain of Homogenized Structures Soft in Shear: Sandwich or Fiber Composites, and Layered Bodies,"Int. J. Solids Struct., 43, pp. 1571-1593.
18. Bažant, Z. P., and Beghini, A., 2004, "Sandwich Buckling Formulas and Applicability of Standard Computational Algorithm for Finite Strain,"Composites, Part B, 35, pp. 573-581.
19. Novozhilov, V. V., 1953, Foundations of the Nonlinear Theory of Elasticity, Graylock, Rochester, NY.
20. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1989, Numerical Recipes, Cambridge University Press, Cambridge, MA.
21. Goens, E., 1931, "Uber die Bestimmung des Elastizitätsmoduls von Stäben mit Hilfe von Biegungsschwingungen,"Ann. Phys., 403, pp. 649-678.
22. Reissner, E., 1945, "The Effect of Transverse Shear Deformation on the Bending of Elastic Plates,"ASME J. Appl. Mech., 12, pp. A69-A77.