Theory of long-term microdamage of physically nonlinear homogeneous materials |
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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,Ukraine |
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Abstract: | A theory of long-term damage of physically nonlinear homogeneous materials is proposed. Damage is modeled by randomly dispersed
micropores. The failure criterion for a microvolume is characterized by its stress-rupture strength. It is determined by the
dependence of the time to brittle fracture on the difference between the equivalent stress and its limit, which is the ultimate
strength, according to the Huber–Mises criterion, and assumed to be a random function of coordinates. An equation of damage
(porosity) balance in a physically nonlinear material at an arbitrary time is formulated. Algorithms of calculating the time
dependence of microdamage and macrostresses are developed and the corresponding curves are plotted. The effect of the nonlinearity
of the material on its macrodeformation and damage is analyzed |
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Keywords: | |
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