Abstract:
This paper presents a three-dimensional spectral-element method for simulating multistage excavation problems in elastoplastic soils, a process crucial for applications in mining and geotechnical engineering. To handle the material's nonlinear behavior, the simulation employs a Mohr-Coulomb yield criterion implemented through an initial strain method within the spectral-element framework. The software is parallelized for high-performance computing using a non-overlapping domain decomposition approach with the Message Passing Interface (MPI), which is essential for handling the large-scale computations required for realistic 3D models. The study first verifies the uniqueness principle for multistage excavation in linear elastic materials to validate the fundamental approach. It then validates both the serial and parallel implementations of the code and demonstrates the method's capability by simulating several examples of multistage excavation in elastoplastic materials, showcasing its potential for practical, large-scale engineering problems.
