Rotation-Free Based Numerical Model for Nonlinear Analysis of Thin Shells

Abstract

This paper presents a computationally efficient numerical model for the analysis of thin shells based on rotation-free triangular finite elements. The geometry of the structure in the vicinity of the observed triangular element is approximated through a controlled domain consisting of nodes of the observed finite element and nodes of three adjacent finite elements between which a second-order spatial polynomial is defined. The model considers large displacements, large rotations, small strains, and material and geometrical nonlinearity. Material nonlinearity is implemented by considering the von Mises yield criterion and the Levi–Mises flow rule. The model uses an explicit time integration scheme to integrate motion equations but an implicit radial returning algorithm to compute the plastic strain at the end of each time step. The presented numerical model has been embedded in the program Y based on the finite–discrete element method and tested on simple examples. The advantage of the presented numerical model is displayed through a series of analyses where the obtained results are compared with other results presented in the literature.

The Eccentric Compression Performance of Spirally Stiffened Thin-Walled Square Concrete-Filled Steel Tubular Laminated Composite Members

“…According to the literature [40,41], the finite element analysis is carried out using Abaqus software [42]. The isotropic elastic-plastic model satisfying the Von Mises yield criterion was used for the steel principal structure relationship, and the four-stage secondary plastic flow model was used for the stress-strain relationship; the modulus of elasticity and Poisson's ratio are taken as 2.06 × 105 MPa and 0.3, respectively.…”

“…The isotropic elastic-plastic model satisfying the Von Mises yield criterion was used for the steel principal structure relationship, and the four-stage secondary plastic flow model was used for the stress-strain relationship; the modulus of elasticity and Poisson's ratio are taken as 2.06 × 105 MPa and 0.3, respectively. According to the According to the literature [40,41], the finite element analysis is carried out using Abaqus software [42]. The isotropic elastic-plastic model satisfying the Von Mises yield criterion was used for the steel principal structure relationship, and the four-stage secondary plastic flow model was used for the stress-strain relationship; the modulus of elasticity and Poisson's ratio are taken as 2.06 × 105 MPa and 0.3, respectively.…”