Geometrically nonlinear isogeometric analysis of laminated composite plates based on higher-order shear deformation theory

摘要

In this paper, we present an effectively numerical approach based onisogeometric analysis (IGA) and higher-order shear deformation theory (HSDT)for geometrically nonlinear analysis of laminated composite plates. The HSDTallows us to approximate displacement field that ensures by itself therealistic shear strain energy part without shear correction factors. IGAutilizing basis functions namely B-splines or non-uniform rational B-splines(NURBS) enables to satisfy easily the stringent continuity requirement of theHSDT model without any additional variables. The nonlinearity of the plates isformed in the total Lagrange approach based on the von-Karman strainassumptions. Numerous numerical validations for the isotropic, orthotropic,cross-ply and angle-ply laminated plates are provided to demonstrate theeffectiveness of the proposed method.