Prediction of Melt Flow and Spread of Thermoplastic Objects with the Particle Finite Element Method

A new computational procedure for analysis of the melting and spread of polymers under fire conditions is presented. The method, termed Particle Finite Element Method (PFEM), combines concepts from particlebased techniques with those of the standard finite element method (FEM). The key feature of the PFEM is the use of an updated Lagrangian description to model the motion of nodes (particles) in the thermoplastic material. Nodes are viewed as material points which can freely move and even separate from the main analysis domain representing, for instance, the effect of melting and dripping of polymer particles. A mesh connects the nodes defining the discretized domain where the governing equations are solved as in the standard FEM. An incremental iterative scheme for the solution of the non linear transient coupled thermal-flow problem is used. Examples of the possibilities of the PFEM for the modelling and simulation of the melting and spread of polymers under different fire conditions are described. Numerical results are compared with experimental data provided by NIST.

[1]  Gregory T. Linteris,et al.  Progress Report on Numerical Modeling of Experimental Polymer Melt Flow Behavior. , 2004 .

[2]  Eugenio Oñate,et al.  The meshless finite element method , 2003 .

[3]  Herbert Edelsbrunner,et al.  Three-dimensional alpha shapes , 1992, VVS.

[4]  E. Oñate,et al.  Fractional Step Like Schemes for Free Surface Problems with Thermal Coupling Using the Lagrangian PFEM , 2006 .

[5]  Eugenio Oñate,et al.  The particle finite element method: a powerful tool to solve incompressible flows with free‐surfaces and breaking waves , 2004 .

[6]  Eugenio Oñate,et al.  Advances in the particle finite element method for the analysis of fluid-multibody interaction and bed erosion in free surface flows , 2008 .

[7]  E. Oñate,et al.  The particle finite element method. An overview , 2004 .

[8]  G. W. H. Silcock,et al.  Effect of melting behaviour on upward flame spread of thermoplastics , 1997 .

[9]  D. D. Drysdale,et al.  The effect of the melt-flow process on the fire behavious of thermoplastics , 2001 .

[10]  Eugenio Oñate,et al.  Particle finite element method in fluid-mechanics including thermal convection-diffusion , 2005 .

[11]  K. N. Seetharamu,et al.  The Finite Element Method , 2005 .

[12]  Eugenio Oñate,et al.  Possibilities of Finite Calculus in Computational Mechanics , 2001 .

[13]  Tomoyuki Mizuno BURNING BEHAVIOUR OF UPHOLSTERED FURNITURE IN FIRE TEST : Part 1 Burning rate , 1986 .

[14]  Eugenio Oñate,et al.  A Lagrangian meshless finite element method applied to fluid-structure interaction problems , 2003 .

[15]  Eugenio Oñate,et al.  Modeling Polymer Melt Flow Using the Particle Finite Element Method. | NIST , 2007 .