ELASTIC PROPERTIES AND LONG-TERM DAMAGE OF TRANSVERSELY ISOTROPIC COMPOSITES WITH STRESS-RUPTURE MICROSTRENGTH DESCRIBED BY A FRACTIONAL-POWER FUNCTION

摘要

The damage process is modeled by randomly dispersed micropores occurring in places of destroyed microvolumes according to the stress-rupture microstrength, which is determined by the dependence of the time to brittle failure on the difference between the equivalent stress and its limit, according to the Huber-Mises criterion, and is a random function of coordinates. Given microstresses or microstrains, the equations of porosity balance at an arbitrary time are derived. Together with the macrostress-macrostrain relationships for a discrete fibrous composite with porous components, they describe the coupled processes of deformation and long-term damage. A specific problem with a bounded stress-rupture microstrength function is solved.