Short-term microdamage of a physically nonlinear laminate under simultaneous 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, Kyiv |
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Abstract: | The structural theory of short-term damage is generalized to the case where undamaged components of an N-component laminate deform nonlinearly under loads that induce a combined stress state. The basis for this generalization
is the stochastic elasticity equations for an N-component laminate with porous components whose skeleton deforms nonlinearly. The Huber-Mises failure criterion is used to
describe the damage of microvolumes in the composite. The damaged microvolume balance equation is derived for the physically
nonlinear materials of the composite components. Together with the macrostress-macrostrain relationship, they constitute a
closed-form system of equations. This system describes the coupled processes of physically nonlinear deformation and microdamage.
For a two-component laminate, algorithms for calculating the microdamage-macrostrain relationship and plotting stress-strain
curves are proposed. Stress-strain curves are also plotted for the case where microdamages occur in the linearly hardening
component and do not in the linear elastic component under simultaneous normal and tangential loads. The effect of the volume
fraction of reinforcement and tangential load on the curves is examined
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 4, pp. 62–72, April 2007. |
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Keywords: | laminated composite microdamage physically nonlinear skeleton combined stress state simultaneous normal and tangential loads |
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