| STATISTICALLY FRACTAL STRENGTH THEORY FOR BRITTLE MATERIALS |
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| 作者姓名： | Gao Feng Xie Heping |
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| 作者单位： | Department of Mathematics and Mechanics，China University of Mining and Technology，Xuzhau 221008，China |
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| 摘 要： | Based on the hypothesis of the fractal distribution of crack sizes in brittle materials andthe weakest link principle,the relationship between the fractal dimension of the size-frequency distri-bution of cracks and the Weibull Modulus is derived,which reveals the geometrical nature of theWeibull Modulus.The influences of the size distribution and the orientation distribution of cracks aswell as the irregularity of the crack propagation on the strength are all taken into account.Finally,ageneral expression for the statistical strength of brittle materials in complex tensile stress state is ob-tained.
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| 收稿时间： | 26 October 1995 |
STATISTICALLY FRACTAL STRENGTH THEORY FOR BRITTLE MATERIALS |
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| Gao Feng Xie Heping.STATISTICALLY FRACTAL STRENGTH THEORY FOR BRITTLE MATERIALS[J].Acta Mechanica Solida Sinica,1996,9(1):42-51. |
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| Authors: | Gao Feng Xie Heping |
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| Institution: | (1) Department of Mathematics and Mechanics, China University of Mining and Technology, 221008 Xuzhou, China |
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| Abstract: | Based on the hypothesis of the fractal distribution of crack sizes in brittle materials and the weakest link principle,the relationship between the fractal dimension of the size-frequency distri- bution of cracks and the Weibull Modulus is derived,which reveals the geometrical nature of the Weibull Modulus.The influences of the size distribution and the orientation distribution of cracks as well as the irregularity of the crack propagation on the strength are all taken into account.Finally,a general expression for the statistical strength of brittle materials in complex tensile stress state is ob- tained. |
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| Keywords: | size-frequency distribution fractal dimension the weakest link principle statistical strength |
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