TY - JOUR

T1 - Elasto-plastic large deformation analysis of multi-patch thin shells by isogeometric approach

AU - Huynh, G. D.

AU - Zhuang, X.

AU - Bui, H. G.

AU - Meschke, G.

AU - Nguyen-Xuan, H.

N1 - 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.

PY - 2020/6

Y1 - 2020/6

N2 - 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.

AB - 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.

KW - Bézier decomposition

KW - Finite strain

KW - Isogeometric analysis

KW - Kirchhoff-Love shell theory

KW - Multi-patch structures

UR - http://www.scopus.com/inward/record.url?scp=85082167207&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2307.05007

DO - 10.48550/arXiv.2307.05007

M3 - Article

AN - SCOPUS:85082167207

VL - 173

JO - Finite Elements in Analysis and Design

JF - Finite Elements in Analysis and Design

SN - 0168-874X

M1 - 103389

ER -