随着“一带一路”战略和“交通强国”战略推进，强夯法凭借适用性广、经济性好、绿色无污染等优势在铁路、公路、机场跑道等建设中展现出广阔的发展前景。本文对标准物质点法的计算架构进行改进，提出了对流粒子域插值物质点法（CPTI-MPM），结合现场强夯试验对程序验证。从土体的变形特性及加固范围两方面入手，研究锤底半径、夯锤质量、夯锤落距以及夯击次数等因素与地基的动态响应规律之间的联系。本文主要研究成果如下：

（1）使用Fortran90语言实现对流粒子域插值物质点法计算程序。构建粒子-影响域角点-背景网格的两阶段映射机制，并编写线性四面体影响域形函数，通过优化物质点法计算流程来构建对流粒子域插值物质点法，并基于强夯问题依次设计Drucker-Prager本构模型、锤土接触算法和无反射边界条件，最后结合现场强夯试验获取数据验证程序设计的合理性。

（2）使用CPTI-MPM法对土体的夯击变形进行分析。发现单次夯击过程中土体变形包括快速压实和缓慢回弹两阶段。土体内部竖向变形存在先慢后快再慢的衰减规律直至最大影响深度处，并结合土质类型构建单次夯沉量随夯击次数增大的指数型衰减规律。增大夯锤质量、夯锤落距、单位体积夯击冲量会增大最大影响深度和单次夯沉量，增大锤底半径会减小最大影响深度和单次夯沉量，夯击次数的增大会增大影响深度而减小单次夯沉量。

（3）使用CPTI-MPM法对土体加固范围进行讨论。基于塑性应变建立加固范围的评价标准，构建各夯击参数与加固范围的关系。增大夯锤质量、夯锤落距和夯击次数优先增大加固深度，增大锤底半径会优先增大加固宽度，单位体积夯击动量与加固范围存在一一对应关系。

通过将CPTI-MPM法应用于强夯工程，系统研究多因素对土体夯击变形及加固范围的影响，可拓展该方法在岩土领域的应用研究，揭示冲击作用下土体的动态响应特征，从而为土体夯击加固范围的讨论及预测提供参考。

With the advancement of the "Belt and Road" strategy and the "transportation power" strategy, the strong compaction method has shown broad development prospects in the construction of railways, highways, airport runways and other countries with its advantages of wide applicability, good economy, green and pollution-free. In this paper, combined with the field compaction test, the calculation architecture of the reference material point method is improved, and the convective particle domain interpolation point method (CPTI-MPM) is proposed, which studies the relationship between the factors such as the hammer bottom radius, the rammer mass, the rammer drop distance and the number of ramming blows and the dynamic response law of the foundation from the two aspects of soil deformation characteristics and reinforcement range. The main research results of this paper are as follows:

(1) Use Fortran90 language to implement the convective particle domain interpolation substance point method calculation program. The two-stage mapping mechanism of particle-influence domain corner-background grid was constructed, and the linear tetrahedral influence domain shape function was written, and the convective particle domain interpolation material point method was constructed by optimizing the calculation process of the matter point method, and the Drucker-Prager constitutive model, hammer-earth contact algorithm and non-reflection boundary condition were designed in turn based on the strong compaction problem, and finally the data obtained by combining the field strong compaction test to verify the rationality of the program design.

(2) The CPTI-MPM method was used to analyze the ramming deformation of the soil. It is found that the soil deformation in the process of single ramming includes two stages: rapid compaction and slow rebound. The vertical deformation of the soil has an attenuation law of slow first, then fast and then slow until the maximum depth of influence, and the exponential attenuation law of single tamping settlement with the increase of the number of tamping strokes is constructed in combination with the soil type. Increasing the tamper mass, rammer drop distance, and tamping impulse per unit volume will increase the maximum impact depth and single tamping settlement, increasing the hammer bottom radius will reduce the maximum impact depth and single tamping settlement, and the increase of the number of tamping will increase the influence depth and reduce the single tamping settlement.

(3) The CPTI-MPM method was used to discuss the scope of soil reinforcement. Based on the plastic strain, the evaluation criteria of the reinforcement range were established, and the relationship between the ramming parameters and the reinforcement range was constructed. Increasing the tamper mass, rammer drop distance and tamping number preferentially increases the reinforcement depth, and increasing the hammer bottom radius will give priority to increasing the reinforcement width, and there is a one-to-one correspondence between the tamping momentum per unit volume and the reinforcement range.

By applying the CPTI-MPM method to the high compaction project, the influence of multiple factors on the ramming deformation and reinforcement range of soil can be systematically studied, which can expand the application of the method in the field of geotechnical and reveal the dynamic response characteristics of soil under impact, so as to provide a reference for the discussion and prediction of the range of soil ramming reinforcement.