中文摘要：

基于塑性增量理论，推导硬化土本构模型的有限差分格式。在VC＋＋编程环境下，利用FLAC-3D提供的二次开发平台，编制硬化土本构模型的有限差分程序，实现硬化土本构模型在FLAC-3D中的二次开发，并给出二次开发的步骤、方法和编程要点。通过不同应力路径室内试验结果与采用不同本构模型的FLAC-3D数值计算结果进行对比分析，验证硬化土本构模型在FLAC-3D中二次开发的正确性和必要性。对比分析表明：采用硬化土本构模型的FLAC-3D数值计算结果与试验结果吻合较好，而且硬化土本构模型的模型参数可从常规三轴试验获得，模型参数简单，硬化土本构模型不仅能够反映土体的非线性特性，还能够反映深基坑工程复杂的应力路径，与其他土体本构模型相比，硬化土本构模型更适合用于深基坑工程的计算分析。硬化土本构模型在FLAC-3D中二次开发的实现，扩大了FLAC-3D的适用范围，在一定程度上弥补FLAC-3D在分析岩土工程尤其是深基坑工程方面上的不足。

英文摘要：

The finite difference scheme of hardening soil constitutive model is derived based on the increment theory of plastic. The finite difference program of hardening soil constitutive model is established so as that the secondary development of hardening soil constitutive model is realized with the platform for secondary development offered by FLAC3D software in VC＋＋ environment. And then, the steps, methods and program essentials of constitutive model＇s secondary development based on FLAC3D software are given. The comparison analysis between test results under different stress paths and FLAC3D numerical simulation results with different constitutive model is made so as to verify that the development of hardening soil constitutive model in FLAC3D is correct and necessity. Comparative analysis shows that the FLAC3D numerical simulation results with hardening soil constitutive model accord with test results. The parameters of hardening Soil constitutive model is simple and can be easily determined by conventiOnal triaxial test. Hardening soil constitutive model can not only reflect the nonlinear characteristics of soil, but also can reflect complex stress path of deep foundation pit engineering. So,hardening soil constitutive model is more suitable for computing analysis of deep foundation pit engineering compared with other constitutive model of soil. Implementation of secondary development that hardening soil constitutive model is developed in FLAC3D software expands the scope of FLAC3D application, to some extent, it makes up for disadvantages of FLAC3D in analysis of geotechnical engineering, especially deep foundation pit engineering.