Simulation of crack propagation and fracture in structures
I am developing numerical methods to simulate how cracks initiate and propagate in structures subjected to earthquakes, debris impacts, and other external forces. Conventional methods often require computational meshes to be reconstructed as cracks propagate, making complex fracture process difficult to simulate. To overcome this limitation, I have developed a method combining the crack phase-field model with the material point method (MPM). This approach enables seamless simulation of crack propagation and structural separation without remeshing. I aim to extend this method to better understand structural damage and collapse caused by landslides and debris flows.
Improving numerical accuracy through pressure stabilization
Numerical simulations of large deformations in soils and structures can suffer from artificial pressure oscillations, reducing computational accuracy and stability. This problem is particularly significant for materials that undergo little volume change during deformation. To address this issue, I have developed a stabilized mixed formulation that treats displacement and pressure as independent variables and incorporates the variational multiscale (VMS) method. This approach effectively suppresses artificial pressure oscillations and improves numerical stability. Through this research, I aim to achieve more accurate and reliable simulations of large deformation and failure in soils and structures.
Sugai, R., Hidano, S., Matsubara, S., and Terada, K. (2026). Variational multiscale-stabilized extended B-spline-based mixed implicit material point method for elastoplasticity at finite strains. Computer Methods in Applied Mechanics and Engineering, 459, 119057, doi:10.1016/j.cma.2026.119057
Suzuki, Y., Sugai, R., Hidano, S., Nomura, R., Moriguchi, S., Kodaka, and T., Terada, K. (2026). Multi-patch B-spline-based hybrid MPM-FEM for simulating piping failure. Computational Particle Mechanics, 16, 359-383, doi:10.1016/j.cpms.2026.07.002
Sugai, R., Nomura, R., Moriguchi, S., and Terada, K. (2025). Extended B-spline-based mixed material point method stabilized by the variational multiscale method for compressible and nearly incompressible hyperelastic materials. Advances in Computational Science and Engineering, 4, 85-118, doi:10.3934/acse.2025013
Sugai, R., Han, J., Moriguchi, S., and Terada, K. (2024). Diffusive-discrete crack transition without remeshing achieving by extended B-spline-based implicit material point method. Computer Methods in Applied Mechanics and Engineering, 421, 116771, doi:10.1016/j.cma.2024.116771
Sugai, R., Han, J., Yamaguchi, Y., Moriguchi, S., and Terada, K. (2023). Extended B-spline-based implicit material point method enhanced by F-bar projection method to suppress pressure oscillation. International Journal for Numerical Methods in Engineering, 124(11), 2423-2448, doi:10.1002/nme.7216