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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 |
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