Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeometric analysis

Research output: Contribution to journalArticle

Authors

External departments

  • La Trobe University
  • Texas A and M University

Details

Original languageEnglish
Pages (from-to)905-917
Number of pages13
JournalEngineering Structures
Volume150
Early online date30 Aug 2017
DOIs
Publication statusPublished - 1 Nov 2017
Publication type

Research output: Contribution to journalArticle

Abstract

The present study uses the isogeometric analysis (IGA) to investigate the post-buckling behavior of functionally graded (FG) microplates subjected to mechanical and thermal loads. The modified a strain gradient theory with three length scale parameters is used to capture the size effect. The Reddy third-order shear deformation plate theory with the von Kámán nonlinearity (i.e., small strains and moderate rotations) is employed to describe the kinematics of the microplates. Material variations in the thickness direction of the plate are described using a rule of mixtures. In addition, material properties are assumed to be either temperature-dependent or temperature-independent. The governing equations are derived using the principle of virtual work, which are then discretized using the IGA approach, whereby a C2-continuity requirement is fulfilled naturally and efficiently. To trace the post-buckling paths, Newton’s iterative technique is utilized. Various parametric studies are conducted to examine the influences of material variations, size effects, thickness ratios, and boundary conditions on the post-buckling behavior of microplates.

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