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经过系统的塑性分析,建立了各向异性非线性广义极限平衡理论。考虑到岩土材料复杂特性,提出了有中主应力影响、拉任强度不等、材料各向异性、破坏曲线非线性、受非均匀温度场影响的综合屈服准则。应用塑性位势理论,导出了关联的流动法则。在平面应变条件下,给出了应力场基本方程。采用特征线方法求解,导出了滑移线斜率公式、应力沿滑移线微分方程。应用电算程序,可计算非正交、不对称的滑移线场解答。作为实际应用,导出了各向异性地基极限承载力公式。本文理论可简化得到许多经典理论解答。
Through systematic plastic analysis, an anisotropic nonlinear generalized limit equilibrium theory was established. Taking into account the complex characteristics of geotechnical materials, a comprehensive yield criterion with effects of intermediate principal stress, unequal tensile strength, anisotropy of material, nonlinearity of failure curve, and influence of non-uniform temperature field is proposed. Applying the theory of plastic potentials, the associated flow rules are derived. Under the plane strain conditions, the basic equations of the stress field are given. The characteristic line method was used to solve the equation, and the slope equation of the slip line and the differential equation of stress along the slip line were derived. Using computer programs, non-orthogonal, asymmetric sliding line field solutions can be calculated. As a practical application, the formula for ultimate bearing capacity of anisotropic foundations is derived. The theory of this paper can simplify the solution to many classical theories.