Abstract
The principles of the theory of long-term damage based on the mechanics of stochastically inhomogeneous media are set out. The process of damage is modeled as randomly dispersed micropores resulting from the destruction of microvolumes. A failure criterion for a single microvolume is associated with its long-term strength dependent on the relationship of the time to brittle failure and the difference between the equivalent stress and the Huber-von Mises failure stress, which is assumed to be a random function of coordinates. The stochastic elasticity equations for porous media are used to determine the effective moduli and the stress-strain state of microdamaged materials. The porosity balance equation is derived in finite-time and differential-time forms for given macrostresses or macrostrains and arbitrary time using the properties of the distribution function and the ergodicity of the random field of short-term strength as well as the dependence of the time to brittle failure on the stress state and the short-term strength. The macrostress-macrostrain relationship and the porosity balance equation describe the coupled processes of deformation and long-term damage
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 2, pp. 108–121, February 2007.
For the centenary of the birth of G. N. Savin.
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Khoroshun, L.P. Principles of the micromechanics of material damage. 1. Long-term damage. Int Appl Mech 43, 217–227 (2007). https://doi.org/10.1007/s10778-007-0018-6
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DOI: https://doi.org/10.1007/s10778-007-0018-6