Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 38, Issue 2, Pages 353-367Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0020-7683(00)00021-4
Keywords
granular mechanics; couple stress; stress asymmetry; discrete particles; virtual work
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Here, we show that the average stress in granular media, which is defined from virtual work, may be asymmetric in the absence of contact moments. We specify the circumstances and amplitude of stress asymmetry, and calculate the corresponding couple stress and first stress moment. We also show that the average stress is always symmetric, when it is alternately defined by using statics and no contact moment. The stress asymmetry, which results from external moments, has an amplitude that decreases with the volume size. The present analysis applies to two- and three-dimensional particles of arbitrary shapes. The asymmetric stress, couple stress and first stress moment are analytically calculated in a particular example with cylindrical and spherical particles. (C) 2000 Elsevier Science Ltd. All rights reserved.
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