Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
research-article

High accuracy post-buckling analysis of moderately thick composite plates using an exact finite strip

Published: 01 October 2016 Publication History

Abstract

A high accuracy finite strip for the buckling and post-buckling analysis of moderately thick symmetric cross-ply composite plates is presented in this paper by using first order shear deformation theory (FSDT). The presented method, which is designated by the name Full-analytical Finite Strip Method (F-a FSM), provides an efficient and extremely accurate buckling solution in which the Von-Karman's equilibrium set of equations is solved exactly, and the out-of-plane mode shapes and critical loads are obtained. In the post-buckling stage, the Von-Karman's compatibility equation is solved exactly with the assumption that the deflected form after buckling is a combination of obtained buckling modes (single or multiple mode shapes). The principle of minimum potential energy is invoked to solve for the unknown coefficients in the assumed out-of-plane deflection and rotations functions.

References

[1]
S.C.W. Lau, G.J. Hancock, Buckling of thin flat-walled structures by a spline finite strip method, Thin-Walled Struct, 4 (1986) 269-294.
[2]
D.J. Dawe, T.J. Craig, Buckling and vibration of shear-deformable prismatic plate structures by a complex finite strip method, Int J Mech Sci, 30 (1988) 77-79.
[3]
T.R. Graves-Smith, S. Sridharan, A finite strip method for the post-locally buckled analysis of plate structures, Int J Mech Sci, 20 (1978) 833-842.
[4]
S. Sridharan, T.R. Graves-Smith, Post-buckling analyses with finite strips, J Eng Mech (ASCE), 107 (1981) 869-888.
[5]
G.J. Hancock, Nonlinear analysis of thin sections in compression, J Struct Div-ASCE, 107 (1981) 455-471.
[6]
J. Rhodes, J.M. Harvey, Examination of plate post-buckling behaviour, J Eng Mech (ASCE), 103 (1977) 461-478.
[7]
Marguerre K. The apparent width of plates in compression. NACA technical memorandum, No. 833. Washington DC: National Advisory Committee for Aeronautics; 1937.
[8]
S.M. Chou, J. Rhodes, Review and compilation of experimental results on thin walled structures, Comput Struct, 65 (1997) 47-67.
[9]
Khong PW, Rhodes J. Linear and nonlinear analysis on the micro using finite strip. In: Yettran AL, editor. SAM 88 stress analysis and the micro. London: IOP; 1988. p. 25-35.
[10]
H.R. Ovesy, J. Loughlan, S.A.M. Ghannadpour, Geometric non-linear analysis of thin flat plates under end shortening, using different versions of the finite strip method, Int J Mech Sci, 47 (2005) 1923-1948.
[11]
H.R. Ovesy, J. Loughlan, S.A.M. Ghannadpour, Geometric non-linear analysis of channel sections under end shortening using different versions of the finite strip method, Comput Struct, 84 (2006) 855-872.
[12]
H.R. Ovesy, J. Loughlan, S.A.M. Ghannadpour, G. Morada, Geometric non-linear analysis of box sections under end shortening using three different versions of the finite strip method, Thin-Walled Struct, 44 (2006) 623-637.
[13]
S.A.M. Ghannadpour, H.R. Ovesy, An exact finite strip for the calculation of relative post-buckling stiffness of I-section struts, Int J Mech Sci, 50 (2008) 1354-1364.
[14]
S.A.M. Ghannadpour, H.R. Ovesy, The application of an exact finite strip to the buckling of symmetrically laminated composite rectangular plates and prismatic plate structures, Compos Struct, 89 (2009) 151-158.
[15]
H.R. Ovesy, S.A.M. Ghannadpour, An exact finite strip for the initial post-buckling analysis of channel section struts, Comput Struct, 89 (2011) 1785-1796.
[16]
H.R. Ovesy, S.A.M. Ghannadpour, An exact finite strip for the calculation of relative post-buckling stiffness of isotropic plates, Struct Eng Mech, 31 (2009) 181-210.
[17]
S.A.M. Ghannadpour, H.R. Ovesy, High accuracy post-buckling analysis of channel section struts, Int J Non-Linear Mech, 47 (2012) 968-974.
[18]
S.A.M. Ghannadpour, H.R. Ovesy, High accuracy postbuckling analysis of box section struts, J Appl Math Mech, 92 (2012) 668-680.
[19]
Padmanav Dash, B.N. Singh, Buckling and post-buckling of laminated composite plates, Mech Res Commun, 46 (2012) 1-7.
[20]
Zbigniew Kołakowski, Radosław J. Mania, Semi-analytical method versus the FEM for analysis of the local post-buckling of thin-walled composite structures, Compos Struct, 97 (2013) 99-106.
[21]
A.K. Upadhyay, K.K. Shukla, Post-buckling behaviour of composite and sandwich skew plates, Int J Non-Linear Mech, 55 (2013) 120-127.
[22]
Pizhong Qiao, Qingyuan Chen, Post-local-buckling of fiber-reinforced plastic composite structural shapes using discrete plate analysis, Thin-Walled Struct, 84 (2014) 68-77.
[23]
H.R. Ovesy, S.A.M. Ghannadpour, E. Zia-Dehkordi, Buckling analysis of moderately thick composite plates and plate structures using an exact finite strip, Compos Struct, 95 (2013) 697-704.
[24]
S.A.M. Ghannadpour, H.R. Ovesy, E. Zia-Dehkordi, An exact finite strip for the calculation of initial post-buckling stiffness of shear-deformable composite laminated plates, Compos Struct, 108 (2014) 504-513.
[25]
S.A.M. Ghannadpour, H.R. Ovesy, E. Zia-Dehkordi, Buckling and post-buckling behaviour of moderately thick plates using an exact finite strip, Comput Struct, 147 (2015) 172-180.
[26]
H.R. Ovesy, E. Zia-Dehkordi, S.A.M. Ghannadpour, Buckling and post-buckling behaviour of shear-deformable composite laminated plates using an exact finite strip, in: Proceedings of the twelfth international conference on computational structures technology, Civil-Comp Press, Stirlingshire (Scotland), 2014.
[27]
J.S. Moita, A.L. Araújo, V.M. Franco Correia, C.M. Mota Soares, C.A. Mota Soares, Buckling and geometrically nonlinear analysis of sandwich structures, Int J Mech Sci, 92 (2015) 154-161.

Recommendations

Comments

Information & Contributors

Information

Published In

cover image Computers and Structures
Computers and Structures  Volume 174, Issue C
October 2016
154 pages

Publisher

Pergamon Press, Inc.

United States

Publication History

Published: 01 October 2016

Author Tags

  1. F-a FSM
  2. FSDT
  3. High accuracy strip
  4. Moderately thick plates
  5. Post-buckling stage
  6. Von-Karman's equations

Qualifiers

  • Research-article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • 0
    Total Citations
  • 0
    Total Downloads
  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 08 Feb 2025

Other Metrics

Citations

View Options

View options

Figures

Tables

Media

Share

Share

Share this Publication link

Share on social media