A simple FSDT-based isogeometric analysis for geometrically nonlinear analysis of functionally graded plates

作者：Yu Tian Tang^*; Yin Shuohui; Tinh Quoc Bui; Hirose Sohichi

来源：Finite Elements in Analysis and Design, 2015, 96: 1-10.

DOI：10.1016/j.finel.2014.11.003

• Functionally graded plates
• Geometric nonlinearity
• Isogeometric analysis
• First-order shear deformation theory
• Shear locking

This paper presents a novel approach based on isogeometric analysis (IGA) and a simple first order shear deformation plate theory (S-FSDT) for geometrically nonlinear analysis of homogeneous and non-homogeneous functionally graded plates. Owing to many advantages such as (a) the S-FSDT is free of shear-locking, (b) less one unknown for the S-FSDT as compared with the conventional FSDT, (c) the awkward C-1 continuity required for the generalized displacements is treated straightforwardly because of the nature of the higher-order continuity IGA method, the new formulation is thus effective in modeling the geometrical nonlinearities of plates. The S-FSDT is associated with the von Karman strain for dealing with small strain and moderate rotation. Numerical validation is analyzed and numerical applications are considered. The obtained results are compared with reference solutions to show the accuracy and the effectiveness of the present approach. The effects of different boundary conditions, gradient index, length-to-thickness ratio, geometric shape, etc on the geometrically nonlinear mechanical responses of functionally graded plates are investigated.

• 出版日期2015-4
• 单位河海大学