Shell finite element models with local kinematic refinements based on Reissner’s Mixed Variational Theorem with layer-wise descriptions

Abstract

This work presents refined shell finite element (FE) models based on Reissner’s Mixed Variational Theorem (RMVT) with layer-wise (LW) Node-Dependent Kinematics (NDK) for the analysis of multi-layered composite structures. LW descriptions of displacements and transverse stresses employing hierarchical Legendre polynomials (HLP) are adopted. Developed in the framework of Carrera Unified Formulation (CUF), adaptable refinement through hierarchical shell elements with NDK is extended to the RMVT formulations. The numerical accuracy and efficiency are assessed by comparing the FE solutions for bending shells against references available in the literature or from modeling with commercial software.