Abstract
Multi-parameter fracture mechanics concept is applied to investigate crack propagation conditions during a three-point bending (3PB) test performed on an asymmetrical semi-circular disk under I+II mixedmode loading. The asymmetry is represented by an eccentricity of the angled crack as well as by different distances of both supports during the 3PB test from the middle of the specimen. The Williams series expansion is used for the crack-tip stress field approximation and fracture response of the crack is assessed by means of the combination of the numerical and analytical solution. Comparison between the individual configurations is carried out and discussion on the importance of the higher-order terms considered in the Williams expansion for various cases of asymmetry is presented.
Highlights
That is necessary for assessment of fracture response of structures made of different materials, develops permanently
Ayatollahi and Nejati [7, 8] computed the higher-order terms coefficients of for cracked as well as V-notched specimens by using a numeral procedure called the over-deterministic method (ODM), that is applied within this work
Because of the large extent of the results corresponding to many various configurations, only selected dependences of the crack deflection angle are presented. The former analysis was devoted to investigations on semi-circular discs under bending (SCB) specimens with the crack shifted from the middle of the specimen
Summary
That is necessary for assessment of fracture response of structures made of different materials, develops permanently. The multi-parameter/generalized approach proved to be effective in that case [1, 2, 3] This concept is necessary when the fracture processes occur in a more distant surrounding from the crack tip, where the classical singular single-parameter solution is no more valid. Ayatollahi and Nejati [7, 8] computed the higher-order terms coefficients of for cracked as well as V-notched specimens by using a numeral procedure called the over-deterministic method (ODM), that is applied within this work. They proved that the non-singular terms of the series play an important role in the derivation of crack-tip stress approximation. A comparison between the numerical and experimental results is planned in the future work
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