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.
[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)|
|Item Status:||Live Archive|
|Additional Information:||No evidence of copyright restrictions on web site.|
|Depositing User:||Dr Nam Mai-Duy|
|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 (FOR2008):||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
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