Neutron Diffraction Techniques in Granular Mechanics

Article Preview

Abstract:

Granular materials demonstrate unique mechanical properties stemming from their discrete nature. At large length scales granular assemblies are often viewed from the perspective of continuum theory where they show complex behaviour such as elastic and plastic anisotropy related to the load and deformation history. This complex behaviour is inextricably linked to the micromechanics of load sharing and force transmission at the particle level. At these scales, bulk stress is not shared homogeneously between particles, but rather by a network of `force chains' that form a skeleton supporting the vast majority of the applied load. The formation and failure of these structures govern much of the bulk behaviour of these materials. Neutron diffraction techniques are now providing a window into the mechanics of granular materials at both bulk and particle scales. Through a combination of tomographic neutron imaging and diffraction based strain measurement it is now possible to directly examine the stress within individual particles in granular assemblies. Results of these experiments in two and three dimensions are presented and the outlook for this approach to studying the mechanics of granular materials is discussed.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

190-195

Citation:

Online since:

August 2017

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2017 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] H.M. Jaeger, S.R. Nagel, and R.P. Behringer: Granular solids, liquids, and gases. Reviews of Modern Physics Vol. 68(4) (1996), p.1259.

DOI: 10.1103/revmodphys.68.1259

Google Scholar

[2] C.M. Wensrich, and A. Collard: Resonant and non-linear behaviour in vibrationally fluidised beds. Powder technology Vol. 166(1) (2006), pp.30-37.

DOI: 10.1016/j.powtec.2006.05.002

Google Scholar

[3] R.J. Roy, J.F. Davidson, and V.G. Tuponogov: The velocity of sound in fluidised beds. Chemical Engineering Science Vol. 45(11) (1990), pp.3233-3245.

DOI: 10.1016/0009-2509(90)80216-2

Google Scholar

[4] D. Kolymbas: Introduction to Hypoplasticity: Advances in Geotechnical Engineering and Tunnelling 1 (Vol. 1). CRC Press (1999).

Google Scholar

[5] C.M. Wensrich, and R. E. Stratton: Shock waves in granular materials: Discrete and continuum comparisons. Powder Technology Vol. 210(3) (2011), pp.288-292.

DOI: 10.1016/j.powtec.2011.03.031

Google Scholar

[6] S.A. Hall, J. Wright, T. Pirling, E. Andò, D.J. Hughes, and G. Viggiani: Can intergranular force transmission be identified in sand? Granular Matter Vol. 13(3) (2011), pp.251-254.

DOI: 10.1007/s10035-011-0251-x

Google Scholar

[7] C.M. Wensrich, E.H. Kisi, JF Zhang, and O. Kirstein: Measurement and analysis of the stress distribution during die compaction using neutron diffraction. Granular Matter Vol. 14(6) (2012), pp.671-680.

DOI: 10.1007/s10035-012-0366-8

Google Scholar

[8] C.M. Wensrich, E.H. Kisi, V. Luzin, U. Garbe, O. Kirstein, A.L. Smith and JF Zhang: Force chains in monodisperse spherical particle assemblies: 3D measurements using neutrons, Physical Review E Vol. 90 (2014) 042203.

DOI: 10.1103/physreve.90.042203

Google Scholar

[9] E.H. Kisi, C.M. Wensrich, V. Luzin, and O. Kirstein: Stress distribution in iron powder during die compaction, Material Science Forum Vol. 777 (2014), pp.243-248.

DOI: 10.4028/www.scientific.net/msf.777.243

Google Scholar

[10] A.L. Smith and C.M. Wensrich: The effects of particle dynamics on the calculation of bulk stress in granular materials. International Journal of Solids and Structures Vol. 51 (2014), pp.4414-4418.

DOI: 10.1016/j.ijsolstr.2014.09.008

Google Scholar

[11] A.S. Tremsin, J.B. McPhate, A. Steuwer, W. Kockelmann, A. Paradowska, J.F. Kelleher, J.V. Vallerga, O.W. H Siegmund, and W.B. Feller: High-resolution strain mapping through time-of-flight neutron transmission diffraction with a microchannel plate neutron counting detector. Strain Vol. 48(4) (2012).

DOI: 10.1111/j.1475-1305.2011.00823.x

Google Scholar

[12] C.M. Wensrich, J.N. Hendriks, and M. Meylan: Neutron transmission strain tomography in granular systems. Strain Vol. 52(1) (2016), pp.80-87.

DOI: 10.1111/str.12171

Google Scholar