日本金属学会誌

J. Japan Inst. Metals, Vol. 62, No. 8 (1998),
pp. 735-741

Mode I-II Combined Mode Fracture Criterion for Brittle Materials

Hideo Awaji and Toshiya Kato

Department of Materials Science & Engineering, Faculty of Engineering, Nagoya Institute of Technology, Nagoya 466-8555

Abstract:

The Griffith energy criterion for brittle fracture is extended to mode II and combined mode I-II fracture by postulating that crack extension occurs when the maximum energy release rate in non-coplanar crack extension is equal to the fracture energy rate required for the mode II or the combined mode crack extension. The fracture energy rate is considered to be proportional to the critical magnitude of the area of a frontal process zone at a crack tip for brittle materials. The area of the frontal process zone is simply assessed here from the area enclosed in the iso-stress contours of both the maximum principal stress and the maximum shear stress around a crack tip. The anticipated ratio of mode II and mode I fracture toughness, KIIC/KIC, is 1.20. The value of the ratio, KIIC/KIC, is also estimated experimentally for float glass using a disk test. The result shows that the value of KIIC/KIC is 1.28 which agrees quite well with the anticipated one.


(Received February 23, 1998; In Final Form May 6, 1998)

Keywords:

Griffith criterion, maximum energy release rate, combined mode fracture, mode II fracture toughness, soda-lime glass, disk test


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