岩土体非线性分析的数值流形方法

Numerical manifold method of nonlinear analysis for rock and soil mass

目前数值流形方法的模拟分析主要是采用线弹性模型,而对于非线性模型分析研究很少。根据数值流形方法的特点和岩土体的本构模型,给出了适用于非线性分析的数值流形方法的计算方法。该方法利用中点增量法进行求解,以改变Duncan-Chang模型中弹性模量的方式来反映非线性,其实质是用分段线性来取代非线性。最后通过算例表明,数值流形方法在岩土体进行非线性分析中是有效的。

The linear elastic model is mostly adopted for analysis in the numerical manifold method, but the nonlinear model is scarcely studied. Based on the characteristics of the numerical manifold method and constitutive models of rock and soil mass, the formula of numerical manifold method for nonlinear analysis is presented. The elastic modulus of Duncan-Chang model is modified to describe the nonlinear relationship by use of the midpoint incremental method, in fact, the subsection linear ralationship is substituted for the nonlinear ralationship. Finally, the validity of nonlinear analysis for rock and soil mass is proved.