Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-29T16:06:27.905Z Has data issue: false hasContentIssue false
  • English
  • Français

Fabrics-Shear Strength Links of Silicon-Based Granular Assemblies

Published online by Cambridge University Press:  02 December 2019

S. Judes Sujatha ,
Z. K. Jahanger ,
S. Barbhuiya  and
S. Joseph Antony Open the ORCID record for S. Joseph Antony [Opens in a new window]
S. Judes Sujatha
Affiliation:
Department of Civil Engineering University College of Engineering Nagercoil, India
Z. K. Jahanger
Affiliation:
Department of Water Resources Engineering College of Engineering University of BaghdadBaghdad, Iraq
S. Barbhuiya
Affiliation:
School of Civil Engineering University of LeedsLeedsLS2 9JT, UK
S. Joseph Antony*
Affiliation:
School of Chemical and Process Engineering University of LeedsLeedsLS2 9JT, UK
*
*Corresponding author ([email protected])
Get access

Abstract

Silicon (Si)-based materials are sought in different engineering applications including Civil, Mechanical, Chemical, Materials, Energy and Minerals engineering. Silicon and Silicon dioxide are processed extensively in the industries in granular form, for example to develop durable concrete, shock and fracture resistant materials, biological, optical, mechanical and electronic devices which offer significant advantages over existing technologies. Here we focus on the constitutive behaviour of Si-based granular materials under mechanical shearing. In the recent times, it is widely recognised in the literature that the microscopic origin of shear strength in granular assemblies are associated with their ability to establish anisotropic networks (fabrics) comprising strong-force transmitting inter-particle contacts under shear loading. Strong contacts pertain to the relatively small number of contacts carrying greater than the average normal contact force. However, information on how such fabrics evolve in Si-based assemblies under mechanical loading, and their link to bulk shear strength of such assemblies are scarce in the literature. Using discrete element method (DEM), here we present results on how Si-based granular assemblies develop shear strength and their internal fabric structures under bi-axial quasi-static compression loading. Based on the analysis, a simple constitutive relation is presented for the bulk shear strength of the Si-based assemblies relating with their internal fabric anisotropy of the heavily loaded contacts. These findings could help to develop structure-processing property relations of Si-based materials in future, which originate at the microscale.

Keywords

SiSiO2granular materialsmicromechanicsshear strengthDEM
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 3 , June 2020 , pp. 323 - 330
Copyright
Copyright © 2019 The Society of Theoretical and Applied Mechanics

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Kalidindi, S.R., “Microstructure Informatics,” In: Rajan, K. (Eds.), Informatics for materials science and engineering: data-driven discovery for accelerated experimentation and application, Butterworth-Heinemann, pp.443–466 (2013).CrossRefGoogle Scholar
Kuhn, M., “Structured deformation in granular materials,” Mechanics of Materials, 31(6), pp.407–429 (2003).CrossRefGoogle Scholar
Oda, M., “Initial fabrics and their relations to mechanical properties of granular materials,” Soils and Foundations, 12, (1), pp.17–36 (1970).CrossRefGoogle Scholar
Calka, A. and Wexler, D., “Mechanical milling assisted by electrical discharge,” Nature, 419, pp.147–151 (2002).CrossRefGoogle ScholarPubMed
Mayo, M. J., Chen, D. J., Hague, D. C., Edelstein, A. S. and Cammarata, R. C., Nanomaterials: Synthesis, properties and applications, Institute of Physics Publications, Bristol, England, (1996).Google Scholar
Charit, I. and Mishra, R.S., “Ultrafine grained materials,” Proceeding of 3rd Ultrafine Grained Materials Symposium, USA, (2004).Google Scholar
Cannas, C., Casu, M., Licheri, R., Musinu, A., Piccaluga, G., Speghini, A. and Bettinelli, M., “Eu3 - doped Y2O3-SiO2 nanocomposite obtained by a solgel method,” Proceeding of MRS Online Proceedings Library Archive, 676, (2001).CrossRefGoogle Scholar
Safarian, J., Tranell, G. and Tangstad, M., “Processes for Upgrading Metallurgical Grade Silicon to Solar Grade Silicon,” Energy Procedia, 20, pp.88–97 (2012).CrossRefGoogle Scholar
Qian, D., Wagner, G. J. and Liu, W. K., “Mechanics of carbon nanotubes,” Applied Mechanics Review, 55, (6), pp.495–533 (2002).CrossRefGoogle Scholar
Schey, J.A., Introduction to Manufacturing Processes, McGraw Hill, NewYork, USA, (2000).Google Scholar
Koch, C.C., Nano Structured Materials: Processing, Properties and Applications, William Andrew, Norwich, USA, (2007).Google Scholar
Yu, T., Greish, K., McGill, L. D., Ray, A. and Ghandehari, H., “Influence of geometry, porosity and surface characteristics of Silica nanoparticles on acute toxicity: Their vasculature effect and tolerance threshold,” ACS Nano, 6, (3), pp.2289–2301 (2012).CrossRefGoogle ScholarPubMed
McDowell, D., Panchal, J., Choi, H., Seepersad, C., Allen, J. and Mistree, F., Integrated Design of Multiscale, Multifunctional Materials and Products, Butterworth-Heinemann, Amsterdam, Holland, (2010).Google Scholar
Rathee, S., Srivastava, M., Maheshwari, S., Kundra, T. K. and Siddiquee, A.N., Friction Based Additive Manufacturing Technologies: Principles for Building in Solid State, Benefits, Limitations, and Applications, CRC Press, London, England, (2018).CrossRefGoogle Scholar
Cundall, P.A. and Strack, O.D.L., “A discrete numerical model for granular assemblies,” Geotechnique, 29, pp.47–65 (1979).CrossRefGoogle Scholar
Kuhn, M.R., Granular Geomechanics, ISTE Press, London, 2017Google Scholar
Antony, S.J., Moreno-Atanasio, R., Hassanpour, A., “Influence of contact stiffnesses on the micromechanical characteristics of dense particulate systems subjected to shearing,” Applied Physics Letters, 89, 214103 (2006).CrossRefGoogle Scholar
Materials database, http://www.memsnet.org/material/Google Scholar
Hansen, L.T., Kühle, A., Sørensen, A.H., Bohr, J. and Lindelof, P.E., “A technique for positioning nanoparticles using an atomic force microscope,” Nanotchnology, 9, (4) pp.337–342 (1998).CrossRefGoogle Scholar
Sun, L. and Gong, K., “Silicon-based materials from rice husks and their applications,” Industrial and Engineering Chemistry Research, 40, (25) pp.5861–5877 (2001).CrossRefGoogle Scholar
Jung, M., Choi, S. S., Kang, C.J. and Kuk, Y., “Fabrication of bimetallic cantilevers and its characterisation,” Surface Review and Letters, 6 (6), pp.1195–1199 (1999).CrossRefGoogle Scholar
Lynch, C. T., Handbook of Materials Science Volume 1 : General properties, CRC Press, Cleveland, (1974).Google Scholar
Thornton, C. and Antony, S.J., “Quasi–static deformation of particulate media,” Philosophical Transactions of the Royal Society of London, Series:A, 356 (1747), pp.2763–2782 (1998).CrossRefGoogle Scholar
Satake, M., “Fabric tensor in granular materials,” In: Vermeer, P.A. and Luger, H.J. (Eds.), Deformation and Failure of Granular Materials, Balkema, Rotterdam, pp.63–68 (1982).Google Scholar
Antony, S.J. and Kruyt, N.P., “Role of interparticle friction and particle-scale elasticity on shear strength mechanism in three dimensional granular media,” Physical Review E, 79, pp.031308 (2009).CrossRefGoogle ScholarPubMed
Antony, S.J., “Link between single-particle properties and macroscopic properties in particulate assemblies: role of structures within structures,” Philosophical Transactions of the Royal Society of London, Series: A, 365, pp.2879–2891 (2007).CrossRefGoogle ScholarPubMed
Antony, S.J., “Evolution of force distribution in three-dimensional granular media,” Physical Review E, American Physical Society, 63(1), pp.011302 (2001).Google Scholar
Antony, S.J. and Ghadiri, M., “Size effects in slowly sheared granular media,” Journal of Applied Mechanics, American Society of Mechanical Engineers, 68 (5), pp.772–775 (2001).CrossRefGoogle Scholar
O’Sullivan, C., Particulate Discrete Element Modelling: A Geomechanics Perspective, CRC Press, London, (2011).CrossRefGoogle Scholar
Chung, Y.C., Wu, C.W., Kuo, C.Y., Hsiau, S.S., A rapid granular chute avalanche impinging on a small fixed obstacle: DEM modeling, experimental validation and exploration of granular stress. Applied Mathematical Modelling, 74, 540–568, (2019).CrossRefGoogle Scholar
Zhang, D., Whiten, W.J., The calculation of contact forces between particles using spring and damping models, Powder Technology, 88, pp.59–64, (1996).CrossRefGoogle Scholar