混凝土的统计尺寸效应

首先阐述了经典Weibull统计尺寸效应理论，然后从尖锐宏观裂纹、表面裂隙、应力重分布、能量释放和空间相关性及混凝土骨料粒径等方面对该理论进行了综合评述，最后将统计理论的修正公式与基于能量释放的尺寸效应律及多重分形尺寸效应律进行了分析比较。分析表明，经典统计理论仅适用于金属材料，而基于非局部理论修正的统计理论能应用于混凝土材料的失效分析。

Statistical size effect of concrete

An introduction is given to the classic Weibull statistical theory of size effect, and the theory is comprehensively reviewed from the sharp macro-crack, surface flaw, stress redistribution, energy release, spatial correlation, and dimension of concrete aggregates. Then a comparative analysis is made on the modified formula of statistic theory, the Bazant size effect law, and the multi-fractal size effect law, and the result shows that the classic statistical theory is only suitable for metals, while the modified formula based on the nonlocal theory can be applied to the failure analysis of concrete materials.