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《CHINESE JOURNAL OF ROCK MECHANICS AND ENGINEERING》 2000-05
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ADVANCES IN STRENGTH THEORY OF ROCK IN 20 CENTURY ——100 YEARS IN MEMORY OF THE MOHR- COULOMB STRENGTH THEORY

Yu Maohong 1, Zan Yuewen 1, Fan Wen 2, Zhao Jian 3, Dong Zhengzhu 4 ( 1 School of Civil Engineering & Mechanics, Xi′an Jiaotong University, Xi′an 710049 China) ( 2 Open Laboratory of Geotechnical Engineering, Changan University, Xi′a  
It has been 100 years since Professor O. Mohr established the well known Mohr Coulomb strength theory (failure criterion) in 1900. A great amount of efforts were dedicated to the study and development of strength theory or failure criteria of rock under the complex stress state and to their correlation with test data. Tens of failure criteria of rock under the complex stress state were proposed. A considerable amount of experimental work were done in connection with the failure of rock under the plane stress and strain, asymmetric tri axial, and true tri axial stress state. A survey of the main researches and development of strength theory on rock are presented since 1900. The advances in strength theory of rock from the single shear strength theory (Mohr, 1900) to the twin shear strength theory (Yu,1985) and to the unified strength theory (Yu, 1991) are summarized. The single shear strength theory of Mohr Coulomb is the lower (inner) bound of all the convex limit surface; the twin shear strength theory is the upper (outer) bound of the convex limit surface. The limiting loci of various empirical criteria in π plane are situated between the single shear and twin shear strength theories. The unified strength theory is a system of strength theory. It gives a series of new failure criteria, establishes a relationship among various failure criteria, and encompasses previous yield criteria (Tresca, Mises), failure criteria (Mohr Coulomb, Twin shear etc.) and other smooth criteria or empirical criteria as special cases or linear approximations. It can be matched with experimental results over a wide range of stress states of many kinds of materials. The unified strength theory has been generalized and applied in some fields. It is easy to use for analytical solutions, engineering application and implementing into computer codes. The unified strength theory may have good prospects in the 21st century.
【Fund】: 国家自然科学基金! ( 5 97790 2 8);; 教育部重点科技项目
【CateGory Index】: TU45
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