Size effects on compressive strength from a statistical physics perspective
Compression is a loading mode that stabilizes microcrack propagation.Consequently,the weakest-link approach becomes inappropriate to account for size effects on compressive strength of brittle materials such as rocks,ice,or concrete.Instead,compressive failure is characterized by an apparent power law decay of the mean strength at small sizes but a non-vanishing strength towards large sizes,associated to an increasing variability towards small sizes.Here we show from a progressive damage model that compressive failure can be considered as a critical phase transition,with a correlation length diverging at failure.Specific scaling laws for the mean as well as the standard deviation of the strength ensue,which are in full agreement with the experimental observations.
compressive strength size effect critical transition rocks
Jér(O)me Weiss Lucas Girard David Amitrano
LGGE,CNRS/University of Grenoble,38402 St Martin d’Hères,France Department of Geography,University of Zürich,CH-8051,Switzerland IsTerre,CNRS/University of Grenoble,38041 Grenoble,France
国际会议
北京
英文
1-7
2013-06-16（万方平台首次上网日期，不代表论文的发表时间）