Abstract
Unified strength theory considering the influence of the intermediate principal stress is widely used in geotechnical engineering, but the singularities bring inconvenience to the numerical calculation. A series of equivalent area circle yield criteria based on unified strength theory are derived. The parameters of the new yield criteria and Drucker-Prager criteria are discussed, and the flow vector coefficients of the new yield criteria are given. The new series of yield criteria are very convenient for numerical calculation and can be served as reference for the evaluation of the effects of strength theory.
Highlights
The strength theory of geotechnical engineering provides the criteria to analyze the yield and failure of geotechnical materials and structures, which plays an essential role on stability research
The representative strength criteria used in geotechnical engineering mainly include: Tresca criterion, MohrCoulomb criterion, Mogi-Coulomb criterion, HuberMises criterion, Drucker-Prager criterion, MatsuokaNakai criterion, Zienkiewicz-Panda criterion, etc[1]
Strength parameters of geotechnical materials are cohesion and internal friction angle, and the mathematical expressions of the unified strength theory expressed by principal stress and strength parameters are described as follows: F
Summary
The strength theory of geotechnical engineering provides the criteria to analyze the yield and failure of geotechnical materials and structures, which plays an essential role on stability research. According to the physical quantity of the expression, it can be divided into stress form, strain form and energy form. It can be divided into linear strength theory and nonlinear strength theory, depending on the property of the yield function. A large number of experimental studies have shown that the intermediate principal stress has a significant effect on the yield and failure of the material[2, 3]. Effect of strength theory in elasticplastic analysis cannot be ignored, so finding a reasonable strength criterion of geotechnical materials and structures is a research hotspot in geotechnical engineering
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