A meshless modeling of dynamic strain localization in quasi-brittle materials using radial basis function networks

Le, P. and Mai-Duy, N. and Tran-Cong, T. and Baker, G. (2008) A meshless modeling of dynamic strain localization in quasi-brittle materials using radial basis function networks. CMES: Computer Modeling in Engineering and Sciences, 25 (1). pp. 43-67. ISSN 1526-1492

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Abstract

This paper describes an integrated radial basis function network (IRBFN) method for the numerical modelling of the dynamics of strain localization due to strain softening in quasi-brittle materials. The IRBFN method is a truly meshless method that is based on an unstructured point collocation procedure. We introduce a new and effective regularization method to enhance the performance of the IRBFN method and alleviate the numerical oscillations associated with weak discontinuity at the elastic wave front. The dynamic response of a one dimensional bar is investigated using both local and non-local continuum models. Numerical results, which compare favourably with those obtained by the FEM and the analytical solutions for a local continuum model, demonstrate the efficiency of the present IRBFN approach in capturing large strain gradients encountered in the present problem.

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Item Type:	Article (Commonwealth Reporting Category C)
Refereed:	Yes
Item Status:	Live Archive
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Date Deposited:	21 May 2009 05:25
Last Modified:	02 Jul 2013 23:09
Uncontrolled Keywords:	strain localization; IRBFN; wave propagation; softening materials; quasi-brittle materials
Fields of Research (2008):	09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics 08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080205 Numerical Computation 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Fields of Research (2020):	40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401204 Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) 46 INFORMATION AND COMPUTING SCIENCES > 4613 Theory of computation > 461399 Theory of computation not elsewhere classified 40 ENGINEERING > 4017 Mechanical engineering > 401706 Numerical modelling and mechanical characterisation
Socio-Economic Objectives (2008):	E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI:	https://doi.org/10.3970/cmes.2008.025.043
URI:	http://eprints.usq.edu.au/id/eprint/4580

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