Isogeometric analysis for flexural behavior of composite plates considering large deformation with small rotations

ABSTRACT

A large deformation theory, so-called Green strains with small rotations, is proposed and employed for flexural analysis of composite plates. Isogeometric analysis cooperated with first-order shear deformation theory is used to derive finite element models. Strain-displacement relations in the sense of von-Kármán theory and the proposed theory are formulated. Shear locking phenomenon is avoided by using reduced integration technique. Newton–Raphson method is employed for nonlinear analysis procedure. Numerical examples, including isotropic and laminated composite plates under different boundary conditions, are investigated. The results have been verified with those available in the literature and show the advantages of the proposed strain theory.

KEYWORDS:

• flexural analysis
• Green–Lagrange strains
• first-order shear deformation theory (FSDT)
• isogeometric analysis
• nonlinear analysis

Funding

The support of the research reported here by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2015R1A2A1A01007535) is gratefully acknowledged.