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.

PDF (Published Abstract)

Download (40Kb)
PDF (Documentation)

Download (1294Kb)


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.

Statistics for USQ ePrint 3576
Statistics for this ePrint Item
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.
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 : 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: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
URI: http://eprints.usq.edu.au/id/eprint/3576

Actions (login required)

View Item Archive Repository Staff Only