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math.NA2024
A high-fidelity material point method for frictional contact problems
Emmanouil G. Kakouris, Manolis N. Chatzis, Savvas P. Triantafyllou
A novel Material Point Method (MPM) is introduced for addressing frictional contact problems. In contrast to the standard multi-velocity field approach, this method employs a penal…
math.NA2019
Phase-field material point method for dynamic brittle fracture with isotropic and anisotropic surface energy
Emmanouil Kakouris, Savvas P. Triantafyllou
A novel phase field material point method is introduced for robust simulation of dynamic fracture in elastic media considering the most general case of anisotropic surface energy.…