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Stability analyses and instability mitigation for the material point method
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DOI：10.1016/j.cma.2026.118784.png)
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Abstract
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• This work derives a closed-form expression for the critical time step in the Material Point Method (MPM). • The critical time step approaches zero when the center of mass of particles within a cell nears the cell boundaries. • The velocity projection procedure in MPM reduces the critical step size by approximately 20–30%. • A simple yet effective stabilization scheme is proposed to significantly enhance MPM stability.
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7.3
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1.3W
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