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Eulerian continuum model and adaptive finite-difference method for high-velocity impact and penetration problems

Eulerian continuum model and adaptive finite-difference method for high-velocity impact and penetration problems
Eulerian continuum model and adaptive finite-difference method for high-velocity impact and penetration problems
Owing to the complex processes involved, faithful prediction of high-velocity impact events demands a simulation method delivering efficient calculations based on comprehensively formulated constitutive models. Such an approach is presented herein, employing a weighted essentially non-oscillatory (WENO) method within an adaptive mesh refinement (AMR) framework for the numerical solution of hyperbolic partial differential equations. Applied widely in computational fluid dynamics, these methods are well suited to the involved locally non-smooth finite deformations, circumventing any requirement for artificial viscosity functions for shock capturing. Application of the methods is facilitated through using a model of solid dynamics based upon hyper-elastic theory comprising kinematic evolution equations for the elastic distortion tensor. The model for finite inelastic deformations is phenomenologically equivalent to Maxwell’s model of tangential stress relaxation. Closure relations tailored to the expected high-pressure states are proposed and calibrated for the materials of interest. Sharp interface resolution is achieved by employing level-set functions to track boundary motion, along with a ghost material method to capture the necessary internal boundary conditions for material interactions and stress-free surfaces. The approach is demonstrated for the simulation of high velocity impacts of steel projectiles on aluminium target plates in two and three dimensions.
eulerian solid-dynamics, WENO, adaptive mesh refinement (AMR), level-sets, ghost-fluid method, high-velocity impacts
0021-9991
76-99
Barton, Philip T.
defd7087-2289-425b-9951-5f9b9d8ff3fe
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Meiron, Daniel I.
07cc49bc-9ca8-43b3-beb6-da2d1fd874f9
Pullin, Dale I.
096f1324-c4ff-4351-99d7-76a30f30a32e
Barton, Philip T.
defd7087-2289-425b-9951-5f9b9d8ff3fe
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Meiron, Daniel I.
07cc49bc-9ca8-43b3-beb6-da2d1fd874f9
Pullin, Dale I.
096f1324-c4ff-4351-99d7-76a30f30a32e

Barton, Philip T., Deiterding, Ralf, Meiron, Daniel I. and Pullin, Dale I. (2013) Eulerian continuum model and adaptive finite-difference method for high-velocity impact and penetration problems. Journal of Computational Physics, 240, 76-99. (doi:10.1016/j.jcp.2013.01.013).

Record type: Article

Abstract

Owing to the complex processes involved, faithful prediction of high-velocity impact events demands a simulation method delivering efficient calculations based on comprehensively formulated constitutive models. Such an approach is presented herein, employing a weighted essentially non-oscillatory (WENO) method within an adaptive mesh refinement (AMR) framework for the numerical solution of hyperbolic partial differential equations. Applied widely in computational fluid dynamics, these methods are well suited to the involved locally non-smooth finite deformations, circumventing any requirement for artificial viscosity functions for shock capturing. Application of the methods is facilitated through using a model of solid dynamics based upon hyper-elastic theory comprising kinematic evolution equations for the elastic distortion tensor. The model for finite inelastic deformations is phenomenologically equivalent to Maxwell’s model of tangential stress relaxation. Closure relations tailored to the expected high-pressure states are proposed and calibrated for the materials of interest. Sharp interface resolution is achieved by employing level-set functions to track boundary motion, along with a ghost material method to capture the necessary internal boundary conditions for material interactions and stress-free surfaces. The approach is demonstrated for the simulation of high velocity impacts of steel projectiles on aluminium target plates in two and three dimensions.

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More information

Accepted/In Press date: 11 January 2013
e-pub ahead of print date: 1 February 2013
Published date: 1 May 2013
Keywords: eulerian solid-dynamics, WENO, adaptive mesh refinement (AMR), level-sets, ghost-fluid method, high-velocity impacts
Organisations: Aerodynamics & Flight Mechanics Group

Identifiers

Local EPrints ID: 380645
URI: http://eprints.soton.ac.uk/id/eprint/380645
ISSN: 0021-9991
PURE UUID: 0965142a-0b54-4ceb-81db-4cdb2a42b14d
ORCID for Ralf Deiterding: ORCID iD orcid.org/0000-0003-4776-8183

Catalogue record

Date deposited: 08 Sep 2015 16:02
Last modified: 09 Nov 2021 03:33

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Contributors

Author: Philip T. Barton
Author: Ralf Deiterding ORCID iD
Author: Daniel I. Meiron
Author: Dale I. Pullin

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