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We have two observations from carefully revisiting existing integration methods used in MPM. First, nearby particles would end up with smoothed velocities without recovering momentum for each particle during the particle-grid-particle transfers. Second, most existing integrators assume continuity in the entire domain and advect particles by directly interpolating the positions from deformed nodal positions, which would trap the particles and make them harder to separate. We propose an integration scheme that corrects particle positions at each time step. We demonstrate our method's effectiveness with several large-scale simulations involving brittle materials. Our approach effectively reduces diffusion and unphysical viscosity compared to traditional integrators.<\/jats:p>","DOI":"10.1145\/3450626.3459678","type":"journal-article","created":{"date-parts":[[2021,7,20]],"date-time":"2021-07-20T00:04:26Z","timestamp":1626739466000},"page":"1-16","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":51,"title":["Revisiting integration in the material point method"],"prefix":"10.1145","volume":"40","author":[{"given":"Yun (Raymond)","family":"Fei","sequence":"first","affiliation":[{"name":"Tencent Game AI Research Center"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qi","family":"Guo","sequence":"additional","affiliation":[{"name":"Tencent Game AI Research Center"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rundong","family":"Wu","sequence":"additional","affiliation":[{"name":"Tencent Game AI Research Center"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Li","family":"Huang","sequence":"additional","affiliation":[{"name":"Tencent Game AI Research Center, P. 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