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- Title
Principles of the micromechanics of material damage. 1. Long-term damage.
- Authors
Khoroshun, L.
- 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
- Subjects
CONTINUUM damage mechanics; MICROMECHANICS; STRENGTH of materials; STRAINS &; stresses (Mechanics); MECHANICS (Physics)
- Publication
International Applied Mechanics, 2007, Vol 43, Issue 2, p217
- ISSN
1063-7095
- Publication type
Article
- DOI
10.1007/s10778-007-0018-6