Mechanics

Hardening effect for the crack of mode I under loadings being parallel to the crack

S. A. Lurie^ab, Ya. E. Salganskaya^ab, I. E. Furtak<sup>ab

a</sup> Institute of Applied Mechanics of Russian Academy of Sciences, Moscow
^b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Let's consider the effect of possible hardening of a sample with a crack with additional compression forces along the crack. This effect was first experimentally discovered by a group of scientists led by Prof. Z. Bazant in the study of a normal separation crack and this effect has not yet received a proper explanation. In this paper, instead of the classical singular solution, it is proposed to consider a non-local regular solution for a normal separation crack, in which the stress components are regular and determine the stress concentration. In this case, it becomes possible to assess the maximum loads using traditional strength criteria. It is shown that this approach makes it possible to model the Bazant effect and predict its manifestation for various materials through the scale parameter in regular solutions.

Key words: normal separation crack, regular solution, scale parameter, gain effect Bazant, quasi-brittle material, damage modeling.

UDC: 539.375

Received: 23.10.2024

DOI: 10.55959/MSU0579-9368-1-66-6-7