Elastica of sandwich panels with a transversely flexible core-A high-order theory approach

International Journal of Solids and Structures

Volumn 46, Issue 10, 2009, Pages 2043-2059

  Frostig, Yeoshua ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Buckling; Compliant core; Elastica; Post buckling; Sandwich panels

Indexed keywords

BUCKLING; HONEYCOMB STRUCTURES; PHOTOLITHOGRAPHY; STRUCTURAL PANELS; SYSTEM THEORY;

BUCKLING LOADS; COMPLIANT CORE; COMPRESSIVE LOADS; DEFORMED SHAPES; EDGE DISPLACEMENTS; ELASTICA; EQUILIBRIUM CURVES; EQUIVALENT SINGLE LAYERS; FACE SHEETS; FIELD EQUATIONS; FLEXIBLE CORES; GOVERNING EQUATIONS; HIGH ORDERS; HIGH-ORDER THEORIES; IN PLANES; IN-PLANE LOADS; INTERNAL STRESS; LARGE DISPLACEMENTS; LARGE ROTATIONS; NON-LINEAR; POST-BUCKLING; SANDWICH PANELS; VARIATIONAL APPROACHES;

SANDWICH STRUCTURES;

EID: 62649091768     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.05.007     Document Type: Article

References (35)

1. Allen H.G. Analysis and Design of Structural Sandwich Panels (1969), Pergamon Press, London
2. Ascher U.M., and Petzold L. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations (1998), SIAM, Philadelphia
3. Bazant Z.P., and Beghini A. Stability and finite strain of homogenized structure soft in shear: sandwich or fiber composites and layered bodies. International Journal of Solids and Structures 43 (2006) 1571-1593
4. Char B.W., Gedddes K.O., Gonnet G.H., Leong B.L., Monagan M.B., and Watt S.M. Maple V library Reference Manual (1991), Springer-Verlag, New York
5. Chucheepsakul S., and Huang T. Finite-element solution of variable-arc-length beams under a point load. Journal of Structural Engineering ASCE 123 7 (1997) 968-970
6. Coffin D.W., and Bloom F. Elastica solution of Hygrothermal buckling of a beam. International Journal of Non-Linear Mechanics 34 (1999) 935-947
7. Dym C.L., and Shames I.H. Solid Mechanics, A Variational Approach (1973), McGraw-Hill, Kogakusha
8. Flajs R., Saje M., and Zakrajsek E. On the existence and uniqueness of the generalized solution of Reissner's elastica. Mathematical and Mechanics of Solids 8 (2003) 3-19
9. Frostig Y., Baruch M., Vilnay O., and Sheinman I. A high order theory for the bending of sandwich beams with a flexible core. Journal of ASCE, EM Division 118 5 (1992) 1026-1043
10. Frostig Y. Behavior of delaminated sandwich beams with transversely flexible core-high order theory. Composite Structures Journal 20 Jan. (1992) 1-16
11. Frostig Y., and Baruch M. Buckling of simply-supported sandwich beams with transversely flexible core-a high order theory. Journal of ASCE, EM Division 119 3 (1993) 476-495
12. Frostig Y. Buckling of sandwich panels with a transversely flexible core-high-order theory. International Journal of Solids and Structures 35 3-4 (1998) 183-204
13. Frostig Y., and Thomsen O.T. Localized effects in the non-linear behavior of sandwich panels with a transversely flexible core. Journal of Sandwich Structures and Materials 7 1 (2005) 53-75
14. Hohe J., and Librescu L. A nonlinear theory for doubly curved anisotropic sandwich shells with transversely compressible core. International Journal of Solids and Structures 40 5 (2003) 1059-1088
15. Huang H., and Kardomateas G.A. Buckling and initial post-buckling behavior of sandwich beams including transverse shear. AIAA Journal 40 11 (2002) 2331-2335
16. Keller H.B. Numerical Methods for Two-point Boundary Value Problems (1992), Dover Publications, New York
17. Lee K. Post-buckling of a uniform cantilever column under a combined load. International Journal of Non-Linear Mechanics 36 (2001) 813-816
18. Lee K. Large deflections of cantilever beams of non-linear elastic material under combined loading. International Journal of Non-Linear Mechanics 37 (2002) 439-443
19. Ligamov M.A., and Ratrout R.A. Large deflection of superconducting cable. International Journal of Non-Linear Mechanics 34 (1999) 869-880
20. Madhusudan B.P., Rajeev V.R., and Rao B.N. Post-buckling of cantilever columns having variable cross-section under a combined load. International Journal of Non-Linear Mechanics 38 (2003) 1513-1522
21. Mindlin R.D. Influence of transverse shear deformation on the bending of classical plates. Transaction of ASME, Journal of Applied Mechanics 18 (1951) 31-38
22. Pak R.Y.S., and Stauffer E.J. Non-linear finite deformation analysis of beam and columns. Journal of Engineering Mechanics, ASCE 120 10 (1993) 2136-2153
23. Petras A., and Sutcliffe M.P.F. Indentation resistance of sandwich beams. Composite Structures 46 4 (1999) 413-424 Dec
24. Petras A., and Sutcliffe M.P.F. Indentation failure analysis of sandwich beams. Composite Structures 50 3 (2000) 311-318 Nov
25. Plantema F.J. Sandwich Construction (1966), John Wiley and Sons, New York
26. Reddy J.N. Energy and Variational Methods in Applied Mechanics (1984), John Wiley and Sons, Inc., New York
27. Reissner E. On one-dimensional finite strain beam theory: the plane problem. Journal of Applied Mathematics and Physics (ZAMP) 23 (1972) 795-804
28. Sokolinsky V., and Frostig Y. Branching behavior in the non-linear response of sandwich panels with a transversely flexible core. International Journal of Solids and Structures 37 November (2000) 5745-5772
29. Sokolinsky V.S., Shen H., Vaikhanski L., and Nutt S.R. Experimental and analytical study of nonlinear bending response of sandwich beams. Composite Structures 60 2 (2003) 219-229 May
30. Stoer J., and Bulirsch R. Introduction to Numerical Analysis (1980), Springer, New York
31. Swanson S.R. An examination of a high-order theory for sandwich beams. Composite Structures 44 2-3 (1999) 169-177
32. Vinogradov A.M., and Derrick W.R. Structure-material relations in the buckling problem of asymmetric composite columns. International Journal of Non-Linear Mechanics 35 (2000) 167-175
33. Vinson J.R. The behavior of Sandwich Structures of Isotropic and Composite Materials (1999), Technomic Publishing Co. Inc., Lancaster
34. Wang C.Y. Post-buckling of a clamped-simply-supported elastica. International Journal of Non-Linear Mechanics 32 6 (1997) 1115-1122
35. Zenkert D. An Introduction to Sandwich Construction (1995), Chameleon Press Ltd, London