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 distribution of cracks and t...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 distribution 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 obtained.展开更多
As everyone knows, the fracture strength of rock materials shows-statistical character. Although test conditions can be controlled strictly, the results still exhibit a large scatter. This phenomenon certainly results...As everyone knows, the fracture strength of rock materials shows-statistical character. Although test conditions can be controlled strictly, the results still exhibit a large scatter. This phenomenon certainly results from the stochastic distribution and growth of defects of a variety of scales in the structure of material and should be handled by probabilistic and indefinite methods. As early as 1939, Weibull gave the fundamental work for展开更多
文摘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 distribution 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 obtained.
基金Project supported by the National Natural Science Foundation of China.
文摘As everyone knows, the fracture strength of rock materials shows-statistical character. Although test conditions can be controlled strictly, the results still exhibit a large scatter. This phenomenon certainly results from the stochastic distribution and growth of defects of a variety of scales in the structure of material and should be handled by probabilistic and indefinite methods. As early as 1939, Weibull gave the fundamental work for
