Recent Advances in Modelling Structural Responses to Extreme Loadings with the Material Point Method

  • Chen, Zhen (University of Missouri)

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Particle methods have evolved into an important class of spatial discretization schemes in Simulation-Based Engineering Science (SBES), while the material point method (MPM) is a continuum-based particle method that combines the strengths of Eulerian and Lagrangian approaches. The motivation for proposing the MPM about three decades ago was to better simulate multi-phase (solid-liquid-gas or hard-soft media) interactions involving large deformations and failure evolution (https://en.wikipedia.org/wiki/Material_point_method ). Using both physics-based and data-enabled approaches, we are developing the computer testbed to model and evalaute the structural responses to extreme loading conditions (high loading rate, pressure and temperature). In this presentation, our recent research results [1-4] will be presented to demonstrate the potential of MPM in promoting SBES to advance the digital community. Especially, an effective procedure to verify and validate multiscale computational results will be illustrated using molecular dynamics, the MPM and Generalized Interpolation Material Point Method, together with available experimental data under extreme loadings. Future research tasks will then be discussed based on our recent findings. REFERENCES [1] Su, Y.C., Saffarini, M.H., Sewell, T., and Chen, Z., “Investigation of the Impact Response of Bi-continuous Nanoporous Solids via the Material Point Method: Verification against the Molecular Dynamics Simulation,” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 49, pp. 1200-1215, 2025. https://doi.org/10.1002/nag.3925 [2] Giraldo-Londono, O., Muneton-Lopez, R.A., Barclay, P.L., Zhuang, X., Zhang, D.Z., and Chen, Z., “Toward Engineering Lattice Structures with the Material Point Method (MPM),” Engineering with Computers, Vol. 41, pp. 1637-1655, 2025. https://link.springer.com/article/10.1007/s00366-024-02098-5 [3] Zhuang, X., Su, Y.-C., and Chen, Z, “Investigating Three-Dimensional Auxetic Structural Responses to Impact Loading with the Generalized Interpolation Material Point Method,” Buildings, Vol. 15, No. 2878, 2025. https:// doi.org/10.3390/buildings15162878. [4] Zhao, Y., Liew, M., and Chen, Z., “Evaluating Gas-Driven Fracture and Ejecta Dynamics in Permafrost Blowout Craters via Model-Based Generalized Interpolation Material Point Framework,” to appear in Computers and Geotechnics, 2026.