Abstract
The paper considers problem of damage and long-term strength of polymeric and composite materials with a ductile-brittle mechanical properties. The modified Maxwell equation written in the scale of the effective time and Boltzmann-Volterra equation of hereditary viscoelasticity are used. Parameter of continuity (of damage) is determined by the relative changes of density, which is an integral measure of the accumulation of structural microdefects in the long process of loading. The kinetic equation for continuity parameter is formulated and interrelated system of equations of creep and damage is analyzed. Analytical relations for creep, continuity parameter and criteria of long-term strength are obtained.
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