Advanced search
Start date
Betweenand


A simple geometrically exact finite element for thin shells: part 2-dynamics

Full text
Author(s):
Pimenta, Paulo M. ; Sanchez, Matheus L. ; Ibrahimbegovic, Adnan
Total Authors: 3
Document type: Journal article
Source: COMPUTATIONAL MECHANICS; v. N/A, p. 20-pg., 2025-03-25.
Abstract

This paper is the continuation of the previous article Sanchez et al. (Comput Mech 72:1119-1139, 2023) which has introduced a new triangular nonlinear shell finite element, denoted as T6-3iKL, designed to handle large displacements and rotations. This second part focuses on adapting the dynamic algorithm from Pimenta et al. (Comput Mech 42(5):715-732, 2008) and Campello et al. (Comput Mech 48(2):195-211, 2011) to deal with long-term dynamics. The element features 6 nodes, a quadratic displacement field, and a linear rotation field using Rodrigues incremental rotation parameters, which have been the biggest contribution from previous work, resulting in 21 degrees of freedom. The kinematic model from present element integrates principles from shear-rigid shell theory. The way the rotation field is parameterized in this kinematic model enables rotation continuity between adjacent elements through a single scalar at midside nodes, facilitating multiple branch connections in the mesh without introducing artificial parameters like penalties or Lagrange multipliers. The numerical implementation of the model is validated through comparisons with different references, demonstrating the consistency and reliability of the formulation. The proposed triangular shell element, characterized by its versatility, simplicity in kinematics, low number of DOFs, no need for artificial parameter calibration, geometric exactness, and compatibility with 3D material models, offers an effective solution for shell simulation in countless engineering applications. (AU)

FAPESP's process: 20/13362-1 - Mechanics, stochastics and control with code-coupling: system-of-multibody-systems point-of-view to optimize offshore/in-land farms of windturbines with flexible blades
Grantee:Paulo de Mattos Pimenta
Support Opportunities: Research Projects - Thematic Grants