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

TL;DR

This paper introduces a numerical method combining isogeometric analysis and higher-order shear deformation theory for accurately analyzing the nonlinear behavior of laminated composite plates, ensuring realistic shear energy representation.

Contribution

It develops a novel approach integrating IGA and HSDT for nonlinear analysis of laminated plates without shear correction factors, validated through extensive numerical tests.

Findings

Effective nonlinear analysis of laminated plates achieved

IGA with NURBS satisfies continuity requirements easily

Numerical validations confirm method's accuracy

Abstract

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