A Fourier-based numerical homogenization tool for an explosive material

J.-B. Gasnier; F. Willot; H. Trumel; B. Figliuzzi; D. Jeulin; M. Biessy

doi:10.1051/mattech/2015019

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Volume 103 / No 3 (2015)

Matériaux & Techniques, 103 3 (2015) 308

Abstract

Comportements mécaniques : approches expérimentales et modélisations à différentes échelles / Mechanical behaviours : experimental approaches and modelling at different length scales

Issue		Matériaux & Techniques Volume 103, Number 3, 2015 Comportements mécaniques : approches expérimentales et modélisations à différentes échelles / Mechanical behaviours : experimental approaches and modelling at different length scales


Article Number		308
Number of page(s)		9
DOI		https://doi.org/10.1051/mattech/2015019
Published online		30 June 2015

Matériaux & Techniques 103, 308 (2015)

A Fourier-based numerical homogenization tool for an explosive material

J.-B. Gasnier¹, F. Willot¹, H. Trumel², B. Figliuzzi¹, D. Jeulin¹ and M. Biessy²

¹ MINES ParisTech, PSL - Research university, CMM – Centre de Morphologie Mathématique, 35 rue St Honoré, 77300 Fontainebleau, France
² CEA, DAM, Le Ripault, 37260 Monts, France
herve.trumel@cea.fr

Received: 18 February 2015
Accepted: 14 April 2015

Abstract

This paper describes the development of a numerical homogenization tool adapted to TATB-based pressed explosives. This is done by combining virtual microstructure modeling and Fourier-based computations. The polycrystalline microstructure is represented by a Johnson-Mehl tessellation model with Poisson random nucleation and anisotropic growth of grains. Several calculations are performed with several sets of available data for the thermoelastic behavior of TATB. Good agreement is found between numerical predictions and experimental data regarding the overall thermal expansion coefficient. The results are shown to comply with available bounds on polycrystalline anisotropic thermoelasticity. Finally, the size of the representative volume element is derived for the bulk, shear and volumetric thermal expansion moduli.

Key words: Homogenization / polycrystal / thermoelasticity / anisotropy / FFT

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