Crack deflection under mixed-mode loading investigated via generalized MTS criterion

Crack deflection under mixed-mode loading investigated via generalized MTS criterion

Paper in proceedings (conference paper)

The paper deals with investigations of a crack propagating in a semi-circular concrete disc loaded in bending. Various crack inclination angles ensure different degrees of I+II mixed-mode conditions. Generally, concrete material exhibits quasi-brittle fracture behavior, which is difficult to describe. It has been shown that fracture in this kind of material occurs in a larger zone around the crack tip. Thus, the multi-parameter fracture mechanics concept can help to understand the facture response better. Particularly, the Williams power expansion with a selected number of its initial terms is used for approximation of the crack-tip stress/displacement field. The over-deterministic method together with a finite element analysis of the problem is used for calculation of the coefficients of the series. The deflection angle of the initial crack is then assessed via generalized/multi-parameter form of Maximum Tangential Stress (MTS) criterion in dependence on various parameters. The theoretical results are compared to experimentally obtained data. The results prove that the multi-parameter description of the crack-tip fields can bring more accurate assessment of the fracture response of a crack under mixed-mode loading.

The paper deals with investigations of a crack propagating in a semi-circular concrete disc loaded in bending. Various crack inclination angles ensure different degrees of I+II mixed-mode conditions. Generally, concrete material exhibits quasi-brittle fracture behavior, which is difficult to describe. It has been shown that fracture in this kind of material occurs in a larger zone around the crack tip. Thus, the multi-parameter fracture mechanics concept can help to understand the facture response better. Particularly, the Williams power expansion with a selected number of its initial terms is used for approximation of the crack-tip stress/displacement field. The over-deterministic method together with a finite element analysis of the problem is used for calculation of the coefficients of the series. The deflection angle of the initial crack is then assessed via generalized/multi-parameter form of Maximum Tangential Stress (MTS) criterion in dependence on various parameters. The theoretical results are compared to experimentally obtained data. The results prove that the multi-parameter description of the crack-tip fields can bring more accurate assessment of the fracture response of a crack under mixed-mode loading.

mixed-mode, crack deflection, MTS criterion,semi-circular disc

mixed-mode, crack deflection, MTS criterion,semi-circular disc

MALÍKOVÁ, L.; MIARKA, P.; ŠIMONOVÁ, H.

2021

30.11.2020

AIP Publishing

Melville, NY

FRACTURE AND DAMAGE MECHANICS: Theory, Simulation and Experiment

0094-243X

AIP conference proceedings

2309

United States of America

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