Short-term microdamage of a physically nonlinear particulate material under a combination of normal and tangential loads |
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Authors: | L P Khoroshun E N Shikula |
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Institution: | (1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev |
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Abstract: | The structural theory of short-term damage is generalized to the case where the undamaged components of a particulate composite
deform nonlinearly under loads that induce a compound stress state. The basis for this generalization is the stochastic elasticity
equations for a particulate composite with porous components whose skeletons deform nonlinearly. Damage in a microvolume of
the material is assumed to occur in accordance with the Huber-Mises failure criterion. Balance equations for damaged microvolume
are derived for the physically nonlinear materials of the components. Together with the macrostress-macrostrain relationship
for a particulate composite with porous nonlinear components, they constitute a closed-form system of equations. This system
describes the coupled processes of physically nonlinear deformation and microdamage. Algorithms for calculating the microdamage-macrostrain
relationship and plotting stress-strain curves are proposed. Such curves are plotted for the case where the composite is subjected
to a combination of normal and tangential loads, and microdamages occur in the linearly hardened matrix and do not in the
linearly elastic inclusions. The stress-strain curves are examined depending on the volume fraction of inclusions and presence
of tangential stresses
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 12, pp. 48–57, December, 2006. |
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Keywords: | particulate composite microdamage of inclusions physically nonlinear matrix coupled processes of physically nonlinear deformation and microdamage compound stress state normal and tangential loads |
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