A semi-analytical approach for predicting the post-buckling response of laminates with a cutout

A. Barut, E. Madenci

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A semi-analytical solution method is developed For post-buckling analysis of moderately thick, flat composite laminates with a central elliptical cutout and subjected to general inplane loading. In order to help initiate the nonlinear post-buckling behavior in the panel, a small-magnitude initial geometric imperfection in the form of a one-term double sinusoidal function is included and directly invoked into the strain-displacement relations. The kinematics of the laminate is based on a {3,0}-higher order theory that provides a quadratic through-the-thickness variation of the transverse shear strains, thus producing the correct representation of the transverse strain energy of the laminate. The nonlinear Green strain-displacement relations are simplified by employing von Karman's assumptions. The present solution method utilizes the principle of virtual work in order to derive the nonlinear incremental equilibrium equations. The governing incremental equations are solved through an incremental iterative approach based on a Newton-Raphson algorithm. The validity of the present semi-analytical approach is established by comparison against measurements and finite element predictions for two different laminations subjected to uniform end displacement under compression and shear loading.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Subtitle of host publication14th AIAA/ASME/AHS Adaptive Structures Conference, 8th AIAA Non-deterministic App
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Pages2328-2353
Number of pages26
ISBN (Print)1563478080, 9781563478086
DOIs
StatePublished - 2006
Event47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference - Newport, RI, United States
Duration: May 1 2006May 4 2006

Publication series

NameCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume4
ISSN (Print)0273-4508

Other

Other47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
CountryUnited States
CityNewport, RI
Period5/1/065/4/06

ASJC Scopus subject areas

  • Architecture
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

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  • Cite this

    Barut, A., & Madenci, E. (2006). A semi-analytical approach for predicting the post-buckling response of laminates with a cutout. In Collection of Technical Papers - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference: 14th AIAA/ASME/AHS Adaptive Structures Conference, 8th AIAA Non-deterministic App (pp. 2328-2353). (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference; Vol. 4). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2006-1786