
A Variable Condition of The Damage
Description Based on Hypothesis of Strain Equivalence
Ju Yang, Xie Heping
(Beijing Graduate School, China University of Mining and Technology, Beijing, 100083)
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Abstract: This paper discusses
the applicability of the damage definition based on Hypothesis of Strain Equivalence. The
physical meanings of the modulus of a material before and after damaged are analyzed. It
is pointed out that the damage definition based on the hypothesis is only applicable to
describe the damage characterist ics of elastic (brittle) materials. It cannot be used to
determine the damage characteristics of elastoplastic materials by replacing the elastic
modulus after damaged with the relaxed modulus of a material. Otherwise, the evaluation
for da mage behavior of elastoplastic materials may be wrong. Additionally, a damage de
finition for elastoplastic materials is introduced, in which the mixed influence of the
plastic and damage mechanisms is taken into account.
Keywords: damage, hypothesis of strain equivalence, rela xed modulus,
elastoplastic.