Geotechnical heterogeneous materials contain a large number of defects, such as granular structures of different types and spatial geometric distribution, cracks, and voids, and have a complex internal meso-structure. Moreover, the mechanical properties and defect structures of various meso-media have an important influence on the fracture mechanism, which makes the analysis of the fracture process of geotechnical materials a nonequilibrium and nonlinear three-dimensional mechanical problem in space. However, due to the complexity of mathematical theory, the limitation of laboratory test and field observation, test conditions, and technology, it is very difficult to study the three-dimensional fracture process of geotechnical materials, and numerical simulation has become one of the powerful tools to solve these problems. This paper first introduces the concept of digital image and the development of geotechnical engineering, and then analyses the types of engineering materials used in geotechnical engineering construction. A finite element method for mechanical analysis based on digital images is proposed. The method can be used to study the influence of the internal microstructure of geotechnical engineering materials on the mechanical response of materials. By analyzing the images, it can be concluded that the aggregate content is 36.1%, the matrix content is 48.9%, and the rest is the proportion of interface elements. The digital image numerical analysis method in this paper is based on two-dimensional space, but according to the principle of stereological logic transformation, it can be applied to three-dimensional finite element analysis.
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