Coupling between meshless and finite element methods

This paper presents a description of an algorithm for the coupling of a smoothed particle hydrodynamics (SPH) solver to a finite element (FE) solver. The coupling algorithm allows for frictionless sliding between FE and particles and is implemented in 3D. The coupling of FE and SPH solvers offer advantages in modelling problems with extreme deformations within a Lagrangian framework. Examples of water impact and rod penetration in 3D are included to illustrate the performance of the algorithm.

[1]  Rade Vignjevic,et al.  A treatment of zero-energy modes in the smoothed particle hydrodynamics method , 2000 .

[2]  Rade Vignjevic,et al.  On Interpolation in SPH , 2001 .

[3]  Larry D. Libersky,et al.  Smooth particle hydrodynamics with strength of materials , 1991 .

[4]  J. Monaghan Why Particle Methods Work , 1982 .

[5]  J. Monaghan Smoothed particle hydrodynamics , 2005 .

[6]  L. Libersky,et al.  Smoothed Particle Hydrodynamics: Some recent improvements and applications , 1996 .

[7]  G. R. Johnson,et al.  Conversion of 3D distorted elements into meshless particles during dynamic deformation , 2003 .

[8]  Mark O. Neal,et al.  Contact‐impact by the pinball algorithm with penalty and Lagrangian methods , 1991 .

[9]  Jouni Freund,et al.  Fifth World Congress on Computational Mechanics, WCCM V , 2002 .

[10]  J. Monaghan SPH without a Tensile Instability , 2000 .

[11]  Martin W. Heinstein,et al.  An analysis of smoothed particle hydrodynamics , 1994 .

[12]  G. R. Johnson,et al.  Linking of Lagrangian particle methods to standard finite element methods for high velocity impact computations , 1994 .

[13]  Rade Vignjevic,et al.  A contact algorithm for smoothed particle hydrodynamics , 2000 .

[14]  Martin W. Heinstein,et al.  Coupling of smooth particle hydrodynamics with the finite element method , 1994 .

[15]  G. R. Johnson,et al.  NORMALIZED SMOOTHING FUNCTIONS FOR SPH IMPACT COMPUTATIONS , 1996 .

[16]  G. R. Johnson,et al.  An improved generalized particle algorithm that includes boundaries and interfaces , 2002 .

[17]  Rade Vignjevic,et al.  A Frictionless Contact Algorithm for Meshless Methods , 2007 .

[18]  T. L. Warren,et al.  Perforation of aluminum plates with ogive-nose steel rods at normal and oblique impacts , 1996 .