caa a22 4500 463165128 CHVBK 20180406164759.0 cr unu---uuuuu 170326e20070201xx s 000 0 eng 10.1007/s10778-007-0018-6 doi (NATIONALLICENCE)springer-10.1007/s10778-007-0018-6 Khoroshun L. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut Principles of the micromechanics of material damage. 1. Long-term damage [Elektronische Daten] [L. Khoroshun] 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 Springer Science+Business Media, Inc., 2007 short-term damage nationallicence long-term damage nationallicence microstrength distribution nationallicence stochastically inhomogeneous media nationallicence destroyed microvolumes nationallicence porosity nationallicence porosity balance nationallicence effective moduli nationallicence International Applied Mechanics Springer US 43/2(2007-02-01), 217-227 1063-7095 43:2<217 2007 43 10778 https://doi.org/10.1007/s10778-007-0018-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10778-007-0018-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Khoroshun L. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut NATIONALLICENCE 773 0- International Applied Mechanics Springer US 43/2(2007-02-01), 217-227 1063-7095 43:2<217 2007 43 10778 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 463165128 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer