A meshless IRBFN-based numerical simulation of dynamic strain localization in quasi-brittle materials

Le, Phong and Mai-Duy, Nam and Tran-Cong, Thanh and Baker, Graham (2007) A meshless IRBFN-based numerical simulation of dynamic strain localization in quasi-brittle materials. In: USNCCM9: 9th US National Congress on Computational Mechanics , 22-26 Jul 2007, San Francisco, CA, United States.

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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. The integration approach is the key to achieving accurate function derivatives necessary for numerical stability and solution accuracy. A new coordinate mapping technique for the IRBFN method is introduced in this paper to resolve the steep velocity, strain and strain-rate gradients associated with the strain localisation process. The behaviour of a one dimensional bar is investigated using a nonlocal damage model governed by a Telegraph-type constitutive relation. The bar is dynamically loaded in tension with a constant end velocity. The strain waves propagating from the two ends meet at the centre of the bar and causes a large strain increase at this location. This strain increase, under suitable conditions, will initiate the strain localisation process due to the strain-softening constitutive behaviour of the material. Numerical results obtained compare favourably with those obtained by the FEM and demonstrate the efficiency of the present IRBFN approach in solving steep (singularity-like behaviour) nonlinear PDEs encountered.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: No
Item Status: Live Archive
Additional Information: No evidence of copyright restrictions on web site. Conference publication consists of only the abstracts of papers presented at the conference. Only Abstract available of oral presentation.
Depositing User: Prof Thanh Tran-Cong
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 06 May 2008 05:27
Last Modified: 02 Jul 2013 22:54
Uncontrolled Keywords: integrated radial basis function network; numerical modelling; strain localization; quasi-brittle materials
Fields of Research (FOR2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis
09 Engineering > 0912 Materials Engineering > 091207 Metals and Alloy Materials
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
URI: http://eprints.usq.edu.au/id/eprint/3576

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