基于一个公路滑坡抗滑桩模型，将滑带土视为应变软化和硬化两种介质构成，分别采用Weibull分布的剪切本构关系和分段直线方程进行描述。利用求系统极值的尖点突变理论将描述应变硬化和应变软化两种介质的本构关系方程引入，在此基础上推导出抗滑桩所受滑坡推力分布的计算公式，并重点分析了上述两种剪切本构关系方程中主要参数对抗滑桩所受滑坡推力分布形式的影响。最后将推导公式应用到一个工程实例中，计算结果与现场实测结果能够较好吻合。%Based on a model of anti-slide pile in a highway project, the slip soil is regarded as two type materials character-ized as strain hardening and strain softening, and is described by shear constitutive relation and segmental linear relation respec-tively with Weibull distribution. The two constitutive relations of strain hardening and strain softening are introduced by using cusp catastrophic model, and based on which, the formula for landslide thrust distribution calculation is induced. The influences of the constitutive relation parameters on distribution laws of landslide thrust are discussed. Finally, the presented formulas are applied in an engineering example, it is found that the measured results in the engineering example can be well described by the presented formulas.
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