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Polymers 2010, 2(1), 3-30; doi:10.3390/polym2010003

Hybrid Lattice Particle Modelling Approach for Polymeric Materials Subject to High Strain Rate Loads

1
Department of Civil Engineering, University of Mississippi, University, MS 38677, USA
2
Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
3
Department of Mechanical Engineering, McGill University, Montreal, H3A 2K6, Canada
*
Author to whom correspondence should be addressed.
Received: 25 February 2010 / Revised: 23 March 2010 / Accepted: 23 March 2010 / Published: 25 March 2010
(This article belongs to the Special Issue Novel Stimuli-Responsive (co)Polymers)

Abstract

Hybrid Lattice Particle modelling (HLPM) is an innovative particular dynamics approach that is established based on a combination of the particle modelling (PM) technique together with the conventional lattice modelling (LM) theory. It is developed for the purpose of simulating the dynamic fragmentation of solids under high strain rate loadings at macroscales with a varying Poisson's ratio. HLPM is conceptually illustrated by fully dynamic particles (or “quasi-particles”) placed at the nodes of a lattice network without explicitly considering their geometric size. The interaction potentials among the particles can employ either linear (quadratic) or nonlinear (Leonard-Jones or strain rate dependent polynomial) type as the axial/angular linkage. The defined spring constants are then mapped into lattice system, which are in turn matched with the material’s continuum-level elastic moduli, strength, Poisson's ratio and mass density. As an accurate dynamic fracture solver of materials, HLPM has its unique advantages over the other numerical techniques which are mainly characterized as easy preparation of inputs, high computation efficiency, ability of post-fracture simulation and a multiscale model, etc., This paper is to review the successful HLPM studies of dynamic fragmentation of polymeric materials with good accuracy. Polymeric materials, including nylon 6-6, vinyl ester and epoxy, are accounted for under the loading conditions of tension, indentation and punctuation. In addition, HLPM of wave propagation and wave induced fracture study is also reviewed. View Full-Text
Keywords: hybrid lattice particle modeling; high strain rate load; dynamic fracture; wave propagation; polymeric materials; spall crack hybrid lattice particle modeling; high strain rate load; dynamic fracture; wave propagation; polymeric materials; spall crack
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Wang, G.; Cheng, A.-D.; Ostoja-Starzewski, M.; Al-Ostaz, A.; Radziszewski, P. Hybrid Lattice Particle Modelling Approach for Polymeric Materials Subject to High Strain Rate Loads. Polymers 2010, 2, 3-30.

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