Mixed‐mode I/II stress intensity factors for frictional centrally cracked Brazilian disk with confining pressure

• Published in: Fatigue & fracture of engineering materials & structures 2022-06, Vol.45 (6), p.1830-1841
• Main Author: Hammouda, Mohammad M. I.
• Format: Article
• Language: English
• Subjects: centrally cracked Brazilian disk; Coefficient of friction; Confining; confining pressure; friction; Mathematical analysis; mixed mode I/II loading; stress intensity factor; Stress intensity factors
• ISSN: 8756-758X; 1460-2695
• DOI: 10.1111/ffe.13703

This work analytically derives closed form mathematical expressions for normalized mode I and mode II stress intensity factor (SIF) of Brazilian disk compressed with two diametric forces and confining pressure. The disk has central inclined crack with frictional surfaces. The influences of relative crack length, crack inclination, friction coefficient, and confining pressure are demonstrated. The present work defines the loading and geometric conditions to have a crack in the disk (1) operating in pure mode II loading, (2) with sticking surfaces, and (3) dormant. Mode II SIF of a crack with frictional surfaces decreases with the increase in the confining pressure and the friction coefficient. There is a close agreement between present results and relevant results found in the literature. Highlights This work considers frictional CCBD compressed diametrically and with confining pressure. This work analytically derives closed form solutions for normalized modes I and II SIF. The influence of crack length and inclination, friction and pressure are recognized. Cracks (1) in pure mode II, (2) with sticking surfaces or (3) in dormant mode are defined.