Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/103298
Title: An adaptive isogeometric analysis meshfree collocation method for elasticity and frictional contact problems
Authors: Nguyen‐Thanh, Nhon
Li, Weidong
Huang, Jiazhao
Srikanth, Narasimalu
Zhou, Kun
Keywords: Engineering::Electrical and electronic engineering
Collocation
Adaptive
Issue Date: 2019
Source: Nguyen‐Thanh, N., Li, W., Huang, J., Srikanth, N., & Zhou, K. (2019). An adaptive isogeometric analysis meshfree collocation method for elasticity and frictional contact problems. International Journal for Numerical Methods in Engineering, 120(2), 209-230. doi;http://dx.doi.org/10.1002/nme.6132
Series/Report no.: International Journal for Numerical Methods in Engineering
Abstract: A collocation method has been recently developed as a powerful alternative to Galerkin's method in the context of isogeometric analysis, characterized by significantly reduced computational cost, but still guaranteeing higher‐order convergence rates. In this work, we propose a novel adaptive isogeometric analysis meshfree collocation (IGAM‐C) for the two‐dimensional (2D) elasticity and frictional contact problems. The concept of the IGAM‐C method is based upon the correspondence between the isogeometric collocation and reproducing kernel meshfree approach, which facilitates the robust mesh adaptivity in isogeometric collocation. The proposed method reconciles collocation at the Greville points via the discretization of the strong form of the equilibrium equations. The adaptive refinement in collocation is guided by the gradient‐based error estimator. Moreover, the resolution of the nonlinear equations governing the contact problem is derived from a strong form to avoid the disadvantages of numerical integration. Numerical examples are presented to demonstrate the effectiveness, robustness, and straightforward implementation of the present method for adaptive analysis.
URI: https://hdl.handle.net/10356/103298
http://hdl.handle.net/10220/49967
ISSN: 0029-5981
DOI: 10.1002/nme.6132
Rights: This is the peer reviewed version of the following article: Nguyen‐Thanh, N., Li, W., Huang, J., Srikanth, N., & Zhou, K. (2019). An adaptive isogeometric analysis meshfree collocation method for elasticity and frictional contact problems. International Journal for Numerical Methods in Engineering, 120(2), 209-230, which has been published in final form at http://dx.doi.org/10.1002/nme.6132. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles
ERI@N Journal Articles
MAE Journal Articles

Files in This Item:
File Description SizeFormat 
Nguyen-Thanh_et_al-2019-International_Journal_for_Numerical_Methods_in_Engineering.pdf2.18 MBAdobe PDFThumbnail
View/Open

SCOPUSTM   
Citations 5

4
Updated on Aug 31, 2020

PublonsTM
Citations

6
Updated on Nov 27, 2020

Page view(s)

145
Updated on Nov 29, 2020

Google ScholarTM

Check

Altmetric


Plumx

Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.