{"title":"用半埋杆提升颗粒箱","authors":"Ting-Heng Hsieh, Tzay-Ming Hong","doi":"arxiv-2409.11957","DOIUrl":null,"url":null,"abstract":"We studied an interesting experiment that showed a half-buried chopstick\nlifting a full bottle of granules off the table. In Janssen theory, the\nfriction force provided by the container wall helps alleviate the weight of the\ngranules. How can a thin rod with a much less contact area support the full\nweight plus that of the container? Insights are gained by allowing the friction\non the wall to change direction before solving the Janssen equation. We\nobtained the analytic expression for the critical depth of granules that\nenables a successful lift off. In addition, we established that the stick and\nslip phenomenon exists during a failed lift off by analyzing the frequency of\nfluctuations in the pull force. Finally, a photoelasticity experiment was\nemployed to directly visualize the stress field sensitive to the pull force,\nand verify the directional change of friction force from the wall.","PeriodicalId":501146,"journal":{"name":"arXiv - PHYS - Soft Condensed Matter","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Lifting a granular box by a half-buried rod\",\"authors\":\"Ting-Heng Hsieh, Tzay-Ming Hong\",\"doi\":\"arxiv-2409.11957\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We studied an interesting experiment that showed a half-buried chopstick\\nlifting a full bottle of granules off the table. In Janssen theory, the\\nfriction force provided by the container wall helps alleviate the weight of the\\ngranules. How can a thin rod with a much less contact area support the full\\nweight plus that of the container? Insights are gained by allowing the friction\\non the wall to change direction before solving the Janssen equation. We\\nobtained the analytic expression for the critical depth of granules that\\nenables a successful lift off. In addition, we established that the stick and\\nslip phenomenon exists during a failed lift off by analyzing the frequency of\\nfluctuations in the pull force. Finally, a photoelasticity experiment was\\nemployed to directly visualize the stress field sensitive to the pull force,\\nand verify the directional change of friction force from the wall.\",\"PeriodicalId\":501146,\"journal\":{\"name\":\"arXiv - PHYS - Soft Condensed Matter\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Soft Condensed Matter\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.11957\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Soft Condensed Matter","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11957","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We studied an interesting experiment that showed a half-buried chopstick
lifting a full bottle of granules off the table. In Janssen theory, the
friction force provided by the container wall helps alleviate the weight of the
granules. How can a thin rod with a much less contact area support the full
weight plus that of the container? Insights are gained by allowing the friction
on the wall to change direction before solving the Janssen equation. We
obtained the analytic expression for the critical depth of granules that
enables a successful lift off. In addition, we established that the stick and
slip phenomenon exists during a failed lift off by analyzing the frequency of
fluctuations in the pull force. Finally, a photoelasticity experiment was
employed to directly visualize the stress field sensitive to the pull force,
and verify the directional change of friction force from the wall.