The classical method of solving problems concerning the delayed fractu
re of structural materials and elements is based on analysis of their
stabilized stress-strain state arid the use of parametric relations wh
ich include the time or number of cycles to failure. Over the last twe
nty years, researchers have developed another approach employing the c
oncept of internal variables [1, 2, 22] along with a system of evoluti
onary equations and failure criteria. Entropy, internal energy, empiri
cal temperature, internal time, strain-hardening, and damage are the q
uantities most often chosen as the internal variables. In the present
study, we examine methods of constructing adequate evolutionary equati
ons for a damage parameter that cannot be measured directly.