Elasto-plastic large deformation analysis of multi-patch thin shells by isogeometric approach

authored by: G. D. Huynh, X. Zhuang, H. G. Bui, G. Meschke, H. Nguyen-Xuan
Abstract: This paper studies elasto-plastic large deformation behaviour of thin shell structures using the isogeometric computational approach with the main focus on the efficiency in modelling the multi-patches and arbitrary material formulation. In terms of modelling, we employ the bending strip method to connect the patches in the structure. The incorporation of bending strips allows to eliminate the strict demand of the C¹ continuity condition, which is postulated in the Kirchhoff-Love theory for thin shell, and therefore it enables us to use the standard multi-patch structure even with C⁰ continuity along the patch boundaries. Furthermore, arbitrary nonlinear material models such as hyperelasticity and finite strain plasticity are embedded in the shell formulation, from which a unified thin shell formulation can be achieved. In terms of analysis, the Bézier decomposition concept is used to retain the local support of the traditional finite element. The performance of the presented approach is verified through several numerical benchmarks.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Ton Duc Thang University
Ruhr-Universität Bochum
Vietnam National University Ho Chi Minh City
Type: Article
Journal: Finite Elements in Analysis and Design
Volume: 173
No. of pages: 12
ISSN: 0168-874X
Publication date: 06.2020
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Analysis, General Engineering, Computer Graphics and Computer-Aided Design, Applied Mathematics
Electronic version(s): https://doi.org/10.48550/arXiv.2307.05007 (Access: Open)
https://doi.org/10.1016/j.finel.2020.103389 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{6fbdbce3584645898abcdc528a30ae75,
title = "Elasto-plastic large deformation analysis of multi-patch thin shells by isogeometric approach",
abstract = "This paper studies elasto-plastic large deformation behaviour of thin shell structures using the isogeometric computational approach with the main focus on the efficiency in modelling the multi-patches and arbitrary material formulation. In terms of modelling, we employ the bending strip method to connect the patches in the structure. The incorporation of bending strips allows to eliminate the strict demand of the C1 continuity condition, which is postulated in the Kirchhoff-Love theory for thin shell, and therefore it enables us to use the standard multi-patch structure even with C0 continuity along the patch boundaries. Furthermore, arbitrary nonlinear material models such as hyperelasticity and finite strain plasticity are embedded in the shell formulation, from which a unified thin shell formulation can be achieved. In terms of analysis, the B{\'e}zier decomposition concept is used to retain the local support of the traditional finite element. The performance of the presented approach is verified through several numerical benchmarks.",
keywords = "B{\'e}zier decomposition, Finite strain, Isogeometric analysis, Kirchhoff-Love shell theory, Multi-patch structures",
author = "Huynh, {G. D.} and X. Zhuang and Bui, {H. G.} and G. Meschke and H. Nguyen-Xuan",
note = "Funding Information: The first author would like to acknowledge the financial support via RISE project BESTOFRAC 734370 for this work. The research performed by Hoang-Giang Bui and Gnther Meschke were conducted in the framework of the Collaborative Research Project SFB 837 “Interaction Modelling in Mechanized Tunneling”, financed by the German Research Foundation (DFG). The authors would like to thank the DFG for the support of this project. ",
year = "2020",
month = jun,
doi = "10.48550/arXiv.2307.05007",
language = "English",
volume = "173",
journal = "Finite Elements in Analysis and Design",
issn = "0168-874X",
publisher = "Elsevier",
}