Abstract
The structural theory of short-term damage is generalized to the case where the undamaged isotropic matrix of a fibrous composite with transversely isotropic reinforcement deforms nonlinearly under loads that induce a combined stress state, microdamages occurring in the matrix alone. The basis for this generalization is the stochastic elasticity equations for a fibrous composite with porous matrix whose skeleton deforms nonlinearly. The Huber-Mises failure criterion is used to describe the damage of microvolumes in the matrix. The damaged microvolume balance equation is derived for the physically nonlinear material of the matrix based on the properties of the distribution function for the statistically homogeneous random field of ultimate microstrength. 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. Algorithms for calculating the dependences of macrostresses and microdamages on macrostrains are proposed. Stress-strain curves for a composite with a linearly hardened matrix under simultaneous normal and tangential loads are plotted. 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. 3, pp. 48–59, March 2007.
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Khoroshun, L.P., Shikula, E.N. Short-term microdamage of a physically nonlinear fibrous material under simultaneous normal and tangential loads. Int Appl Mech 43, 282–290 (2007). https://doi.org/10.1007/s10778-007-0023-9
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DOI: https://doi.org/10.1007/s10778-007-0023-9