A numerical study of strain localization in elasto-thermo-viscoplastic materials using radial basis function networks
暂无分享,去创建一个
Nam Mai-Duy | Thanh Tran-Cong | Graham Baker | Phong B. H. Le | T. Tran-Cong | P. Le | N. Mai-Duy | G. Baker
[1] J. W. Walter. Numerical Experiments on Adiabatic Shear Band Formation in One Dimension , 1992 .
[2] Romesh C. Batra,et al. Analysis of adiabatic shear bands in elasto-thermo-viscoplastic materials by modified smoothed-particle hydrodynamics (MSPH) method , 2004 .
[3] Satya N. Atluri,et al. A Meshless Local Petrov-Galerkin (MLPG) Approach for 3-Dimensional Elasto-dynamics , 2004 .
[4] S. Atluri,et al. The meshless local Petrov-Galerkin (MLPG) method , 2002 .
[5] E. Hairer,et al. Solving Ordinary Differential Equations I , 1987 .
[6] Nam Mai-Duy,et al. Numerical solution of Navier–Stokes equations using multiquadric radial basis function networks , 2001 .
[7] J. Rice,et al. A note on some features of the theory of localization of deformation , 1980 .
[8] A. Molinari,et al. Analytical Characterization of Shear Localization in Thermoviscoplastic Materials , 1987 .
[9] Nam Mai-Duy,et al. Numerical solution of differential equations using multiquadric radial basis function networks , 2001, Neural Networks.
[10] Leevan Ling,et al. Adaptive multiquadric collocation for boundary layer problems , 2006 .
[11] S. Atluri,et al. Meshless Local Petrov-Galerkin (MLPG) Approaches for Solving Nonlinear Problems with Large Deformations and Rotations , 2005 .
[12] L. Ling,et al. Multiquadric collocation method with integralformulation for boundary layer problems , 2004 .
[13] R. Batra,et al. Effect of thermal conductivity on the initiation, growth and bandwidth of adiabatic shear bands , 1991 .
[14] T. Wright. Adiabatic Shear Bands , 1990 .
[15] Ernst Hairer,et al. Solving Ordinary Differential Equations I: Nonstiff Problems , 2009 .
[16] Leevan Ling,et al. A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation , 2004 .
[17] P. Perzyna,et al. The Physics and Mathematics of Adiabatic Shear Bands , 2002 .
[18] Tao Tang,et al. Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems , 1996, SIAM J. Sci. Comput..
[19] Nam Mai-Duy,et al. Solving biharmonic problems with scattered-point discretization using indirect radial-basis-function networks , 2006 .
[20] Nam Mai-Duy,et al. An efficient indirect RBFN‐based method for numerical solution of PDEs , 2005 .
[21] S. Atluri,et al. A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics , 1998 .
[22] J. W. Walter,et al. On stress collapse in adiabatic shear bands , 1987 .
[23] Nam Mai-Duy,et al. Solving high order ordinary differential equations with radial basis function networks , 2005 .
[24] N Mai Duy,et al. APPROXIMATION OF FUNCTION AND ITS DERIVATIVES USING RADIAL BASIS FUNCTION NETWORKS , 2003 .
[25] TRULY MESHLESS LOCAL PETROV-GALERKIN (MLPG) SOLUTIONS OF TRACTION AND DISPLACEMENT BIES , 2003 .
[26] E. Kansa. MULTIQUADRICS--A SCATTERED DATA APPROXIMATION SCHEME WITH APPLICATIONS TO COMPUTATIONAL FLUID-DYNAMICS-- II SOLUTIONS TO PARABOLIC, HYPERBOLIC AND ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS , 1990 .
[27] A meshless IRBFN-based method for transient problems , 2005 .
[28] 菊池 正紀,et al. MLPG (Meshless Local Petrov-Galerkin)法を用いた二次元き裂問題の解析( メッシュフリー法とその周辺技術) , 2004 .
[29] Wing Kam Liu,et al. Numerical simulations of strain localization in inelastic solids using mesh‐free methods , 2000 .
[30] W. Madych,et al. Multivariate interpolation and condi-tionally positive definite functions , 1988 .
[31] Ted Belytschko,et al. On the dynamics and the role of imperfections for localization in thermo-viscoplastic materials , 1994 .
[32] E. Hairer,et al. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .
[33] Nam Mai-Duy,et al. Solving high‐order partial differential equations with indirect radial basis function networks , 2005 .