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Does G0 of Granular Materials Carry Information on Their Particle Characteristics?

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Micro to MACRO Mathematical Modelling in Soil Mechanics

Part of the book series: Trends in Mathematics ((TM))

Abstract

Small strain elastic properties, such as G0, are used to model the soil behaviour under dynamic and static loading. In granular materials, these depend mainly on effective stress and density. However, the influence of particle morphology on G0 cannot be neglected. This paper presents series of laboratory experiments on different granular materials using resonant column apparatus and bender elements. The combined effect of particle morphology, size and distribution of glass ballotini and quartz sands was investigated by using micro-mechanics based analytical model. Experimental results indicate that the A and n parameters of the G0 = A*f (e)*(p′/pr)n relationship are linked to particle size, roughness and shape. Using an analytical model, A and n parameter is expressed as function of particle characteristics. The potential use of G0 to predict particle characteristics is explored in this study.

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Acknowledgments

We acknowledge Indian Institute of Science, Bangalore, India, Faculty of Engineering and the Environment of the University of Southampton and Department of Civil Engg., The University of Hong Kong for providing the facilities to carry out the experimental work.

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Authors and Affiliations

  1. University of Southampton, Southampton, UK

    B. N. Madhusudhan & M. C. Todisco

  2. Coffey Geotechnics, Manchester, UK

    B. N. Madhusudhan & M. C. Todisco

Authors
  1. B. N. Madhusudhan
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  2. M. C. Todisco
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Corresponding author

Correspondence to B. N. Madhusudhan .

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Editors and Affiliations

  1. DICEAM, University Mediterranea, Reggio Calabria, Italy

    Pasquale Giovine

  2. DICeA, University of Florence, Florence, Italy

    Paolo Maria Mariano

  3. DICEAM, University Mediterranea, Reggio Calabria, Italy

    Giuseppe Mortara

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Madhusudhan, B.N., Todisco, M.C. (2018). Does G0 of Granular Materials Carry Information on Their Particle Characteristics?. In: Giovine, P., Mariano, P., Mortara, G. (eds) Micro to MACRO Mathematical Modelling in Soil Mechanics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-99474-1_24

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