Abstract
It is well known that fabric is one of the most important factors in the mechanics of granular materials. This paper presents a theoretical development directed at quantifying the fabric anisotropy of granular media. An averaging technique is used in developing tensor measures that are useful for this purpose. The technique allows tensors based on solid and void phase to be treated in a unified manner. Several definitions of the fabric tensor have been proposed in the past. A discussion of these tensors is provided. It is shown that for certain fabric tensors, it is necessary to give an appropriate expression for the distribution of fabric descriptors. For other types of tensors, this is not necessary. The void phase tensors are useful from an experimental point of view. In its development, the void phase distribution function is limited to a second order tensor term. If the fluctuations of the distribution are high, higher order terms may be necessary for a complete description. A statistical test is proposed to determine the adequacy of the choice of the rank of tensors in describing a particular distribution. Key words: Granular, Statistics, Fabric, voids, soils, stereology
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© 1994 Springer Science+Business Media Dordrecht
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Chameau, J.L., Muhunthan, B. (1994). Modeling Granular Fabric by Tensors and their Statistical Test. In: Breysse, D. (eds) Probabilities and Materials. NATO ASI Series, vol 269. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1142-3_28
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DOI: https://doi.org/10.1007/978-94-011-1142-3_28
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