The paper takes advantage of the digital images exported from the digital visualization models of geotechnical engineering and the meshless method based on Shepard function and Partition of Unity (MSPU) to develop a new solution for the automatic digital-numerical integrated analysis. The proposed method fully utilizes the information of pixels to substitute geometric models with digital images, which avoids complex and time-consuming computational geometry in conventional pre-processing procedure. A regular and structured mesh is adopted to cover the digital image and the central points of the rectangular elements are taken as the interpolation nodes to discrete the analysis domain. The paper introduces in detail the formulation of the corresponding MSPU interpolation, the treatments of interfaces between materials and the imposition of the displacement boundary conditions. The method possesses the merits of concise formulation, simple numerical implementation and high automation. The proposed method can reduce the high requirements to computational mechanics and professional numerical modeling skills for geotechnical engineers, and provide a new convenient means for automatic numerical analysis based on digital information model. Numerical examples including representative elastic problems and slope stability analysis indicate the high accuracy and wide prospect of the proposed method.

本文利用岩土工程数字可视化模型导出的数字图像以及基于Shepard函数和统一分区（MSPU）的无网格方法，为自动数字-数字综合分析开发了新的解决方案。所提出的方法充分利用了像素信息，用数字图像代替了几何模型，避免了传统预处理过程中复杂而费时的计算几何。采用规则且结构化的网格覆盖数字图像，并以矩形元素的中心点作为插值节点以离散化分析域。本文详细介绍了相应的MSPU插值的公式，材料之间的界面处理和施加位移边界条件。该方法具有配方简洁，数值实现简单，自动化程度高的优点。该方法可以减少对岩土工程师的计算力学和专业数值建模技术的高要求，为基于数字信息模型的自动数值分析提供一种新的便捷手段。数值算例包括代表性的弹性问题和边坡稳定性分析表明该方法具有较高的准确性和广阔的前景。该方法可以减少对岩土工程师的计算力学和专业数值建模技能的高要求，为基于数字信息模型的自动数值分析提供一种新的便捷手段。数值算例包括代表性的弹性问题和边坡稳定性分析表明该方法具有较高的准确性和广阔的前景。该方法可以减少对岩土工程师的计算力学和专业数值建模技术的高要求，为基于数字信息模型的自动数值分析提供一种新的便捷手段。数值算例包括代表性的弹性问题和边坡稳定性分析表明该方法具有较高的准确性和广阔的前景。