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Graph."],"published-print":{"date-parts":[[2023,12,5]]},"abstract":"<jats:p>\n            We estimate the three Herschel-Bulkley parameters (yield stress\n            <jats:italic toggle=\"yes\">\u03c3<\/jats:italic>\n            <jats:sub>Y<\/jats:sub>\n            , power-law index\n            <jats:italic toggle=\"yes\">n<\/jats:italic>\n            , and consistency parameter\n            <jats:italic toggle=\"yes\">\u03b7<\/jats:italic>\n            ) for shear-dependent fluid-like materials possibly with large-scale inclusions, for which rheometers may fail to provide a useful measurement. We perform experiments using the unknown material for dam-break (or column collapse) setups and capture video footage. We then use simulations to optimize for the material parameters. For better match up with the simple shear flow encountered in a rheometer, we modify the flow rule for the elasto-viscoplastic Herschel-Bulkley model. Analyzing the loss landscape for optimization, we realize a\n            <jats:italic toggle=\"yes\">similarity relation<\/jats:italic>\n            ; material parameters far away within this relation would result in matched simulations, making it hard to distinguish the parameters. We found that by exploiting the setup dependency of the similarity relation, we can improve on the estimation using multiple setups, which we propose by analyzing the Hessian of the similarity relation. We validate the efficacy of our method by comparing the estimations to the measurements from a rheometer (for materials without large-scale inclusions) and show applications to materials with large-scale inclusions, including various salad or pasta sauces, and congee.\n          <\/jats:p>","DOI":"10.1145\/3618310","type":"journal-article","created":{"date-parts":[[2023,12,5]],"date-time":"2023-12-05T10:20:48Z","timestamp":1701771648000},"page":"1-16","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Non-Newtonian ViRheometry via Similarity Analysis"],"prefix":"10.1145","volume":"42","author":[{"given":"Mitsuki","family":"Hamamichi","sequence":"first","affiliation":[{"name":"Aoyama Gakuin University (AGU), Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kentaro","family":"Nagasawa","sequence":"additional","affiliation":[{"name":"The University of Tokyo, Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Masato","family":"Okada","sequence":"additional","affiliation":[{"name":"The University of Tokyo, Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ryohei","family":"Seto","sequence":"additional","affiliation":[{"name":"Wenzhou Institute, University of Chinese Academy of Sciences \/ Oujiang Laboratory, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yonghao","family":"Yue","sequence":"additional","affiliation":[{"name":"Aoyama Gakuin University (AGU), Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2023,12,5]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1002\/nme.6957"},{"key":"e_1_2_2_2_1","first-page":"477","article-title":"The generalized interpolation material point method","volume":"5","author":"Bardenhagen Scott G.","year":"2004","unstructured":"Scott G. 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