{"title":"力学内部约束","authors":"M. Frémond","doi":"10.1098/rsta.2001.0853","DOIUrl":null,"url":null,"abstract":"We study the internal constraints on the state quantities and on their velocities. We show that they can be taken into account by the free energy and the pseudopotential of dissipation. Applications to collisions of rigid and deformable solids, to damage, to adhesion, to phase changes with and without discontinuities of temperature, to shape-memory alloys, and finally to collisions of solids and liquids, show how flexible and productive is the method.","PeriodicalId":20023,"journal":{"name":"Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2001-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Internal constraints in mechanics\",\"authors\":\"M. Frémond\",\"doi\":\"10.1098/rsta.2001.0853\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the internal constraints on the state quantities and on their velocities. We show that they can be taken into account by the free energy and the pseudopotential of dissipation. Applications to collisions of rigid and deformable solids, to damage, to adhesion, to phase changes with and without discontinuities of temperature, to shape-memory alloys, and finally to collisions of solids and liquids, show how flexible and productive is the method.\",\"PeriodicalId\":20023,\"journal\":{\"name\":\"Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-12-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1098/rsta.2001.0853\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1098/rsta.2001.0853","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We study the internal constraints on the state quantities and on their velocities. We show that they can be taken into account by the free energy and the pseudopotential of dissipation. Applications to collisions of rigid and deformable solids, to damage, to adhesion, to phase changes with and without discontinuities of temperature, to shape-memory alloys, and finally to collisions of solids and liquids, show how flexible and productive is the method.