A meshless IRBFN-based numerical simulation of adiabatic shear band formation in one dimension

Le, Phong and Mai-Duy, Nam and Tran-Cong, Thanh and Baker, Graham (2006) A meshless IRBFN-based numerical simulation of adiabatic shear band formation in one dimension. In: 2006 International Conference on Nonlinear Analysis & Engineering Mechanics Today, 11-14 Dec 2006, Ho Chi Minh City, Vietnam.


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[Abstract]: In this paper, we describe an integrated radial basis function network (IRBFN) method for
the numerical modelling of the dynamics of strain localization in elasto-thermo-viscoplastic
materials with coupled heat conduction. A new coordinate mapping for the IRBFN method
is introduced in this paper to resolve the steep temperature, velocity, strain and strain-rate
gradients associated with the strain localization (shear band). The discrete governing PDEs
are integrated in time using an implicit 5th-order Runge-Kutta method with automatic time
step selection. Numerical results demonstrate the e±ciency 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: Yes
Item Status: Live Archive
Additional Information: No evidence of copyright restrictions on web site.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 11 Oct 2007 00:56
Last Modified: 02 Jul 2013 22:42
Uncontrolled Keywords: integrated radial basis function network, numerical modelling, strain localization, elasto-thermo-viscoplastic materials, coupled heat conduction
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010399 Numerical and Computational Mathematics not elsewhere classified
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
URI: http://eprints.usq.edu.au/id/eprint/2083

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