Initial response of a micro-polar hypoplastic material under plane shearing |
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Authors: | Erich Bauer |
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Affiliation: | (1) Institute of General Mechanics, Graz University of Technology, A-8010 Graz, Austria |
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Abstract: | The behavior of an infinite strip of a micro-polar hypoplastic material located between two parallel plates under plane shearing
is investigated. The evolution equation of the stress tensor and the couple-stress tensor is described using tensor-valued
functions, which are nonlinear and positively homogeneous of first order in the rate of deformation and the rate of curvature.
For the initial response of the sheared layer an analytical solution is derived and discussed for different micro-polar boundary
conditions at the bottom and top surfaces of the layer. It is shown that polar quantities appear within the shear layer from
the beginning of shearing with the exception of zero couple stresses prescribed at the boundaries. |
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Keywords: | granular materials hypoplasticity interface behavior micro-polar continuum plane shearing |
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