Abstract
Büeckner-Rice weight function method was used to analyse mixed-mode fracture of center-cracked circular disk subjected to uniaxial compression. Based on Wu-Carlsson procedure semi-analytical modes I and II weight functions were derived from corresponding reference displacement fields and stress intensity factors calculated by finite element method. Normalized mode I and mode II stress intensity factors, f I, f II, were derived from the obtained semi-analytical weight functions. The results were then fitted into polynomials, the precision is within 0.5%. It is interesting to note that when the inclined angle ϑ of a crack is less than 15°, the f I values are positive. when ϑ=15°, the f I values are positive for the crack length a varying from 0.1 to 0.7, but when a=0.8, the f I takes the negative value −0.51. When ϑ>15°, all the f I values become negative, which denotes that the compression-shear mode is achieved at crack tips. These results are very useful in the investigation of mixed-mode fracture of brittle materials.
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Foundation item: Doctorate Program Found of China (No. 98053318)
Biography of the first author: CHEN Feng, professor, born in 1947, majoring in fracture mechanics.
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Chen, F., Sun, Zq. & Xu, Jc. Semi-analytical weight function method for center-cracked circular disk subjected to diametral compression. J Cent. South Univ. Technol. 8, 99–104 (2001). https://doi.org/10.1007/s11771-001-0034-3
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DOI: https://doi.org/10.1007/s11771-001-0034-3