{"title":"受自平衡任意载荷作用的圆盘的闭式位移场方程","authors":"K. Shins, K. Ramesh","doi":"10.1007/s10035-023-01327-w","DOIUrl":null,"url":null,"abstract":"<div><p>The closed-form displacement field equations for the case of a disc subjected to self-equilibrated loads of arbitrary magnitude and direction are systematically derived from the existing closed-form stress field expressions. The proposed equations are validated with the help of numerical simulation carried out for the case of a disc under diametral compression and a disc subjected to four arbitrary loads. The derived expressions open the way for the extensive use of displacement measuring experimental techniques in the inverse analysis of granular materials for determining the particle forces.</p><h3>Graphical abstract</h3>\n <figure><div><div><div><picture><source><img></source></picture></div></div></div></figure>\n </div>","PeriodicalId":582,"journal":{"name":"Granular Matter","volume":"25 2","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Closed-form displacement field equations for a disc subjected to self-equilibrated arbitrary loads\",\"authors\":\"K. Shins, K. Ramesh\",\"doi\":\"10.1007/s10035-023-01327-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The closed-form displacement field equations for the case of a disc subjected to self-equilibrated loads of arbitrary magnitude and direction are systematically derived from the existing closed-form stress field expressions. The proposed equations are validated with the help of numerical simulation carried out for the case of a disc under diametral compression and a disc subjected to four arbitrary loads. The derived expressions open the way for the extensive use of displacement measuring experimental techniques in the inverse analysis of granular materials for determining the particle forces.</p><h3>Graphical abstract</h3>\\n <figure><div><div><div><picture><source><img></source></picture></div></div></div></figure>\\n </div>\",\"PeriodicalId\":582,\"journal\":{\"name\":\"Granular Matter\",\"volume\":\"25 2\",\"pages\":\"\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2023-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Granular Matter\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10035-023-01327-w\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Granular Matter","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10035-023-01327-w","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Closed-form displacement field equations for a disc subjected to self-equilibrated arbitrary loads
The closed-form displacement field equations for the case of a disc subjected to self-equilibrated loads of arbitrary magnitude and direction are systematically derived from the existing closed-form stress field expressions. The proposed equations are validated with the help of numerical simulation carried out for the case of a disc under diametral compression and a disc subjected to four arbitrary loads. The derived expressions open the way for the extensive use of displacement measuring experimental techniques in the inverse analysis of granular materials for determining the particle forces.
期刊介绍：
Although many phenomena observed in granular materials are still not yet fully understood, important contributions have been made to further our understanding using modern tools from statistical mechanics, micro-mechanics, and computational science.
These modern tools apply to disordered systems, phase transitions, instabilities or intermittent behavior and the performance of discrete particle simulations.
>> Until now, however, many of these results were only to be found scattered throughout the literature. Physicists are often unaware of the theories and results published by engineers or other fields - and vice versa.
The journal Granular Matter thus serves as an interdisciplinary platform of communication among researchers of various disciplines who are involved in the basic research on granular media. It helps to establish a common language and gather articles under one single roof that up to now have been spread over many journals in a variety of fields. Notwithstanding, highly applied or technical work is beyond the scope of this journal.
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