Controllable motions of compressible simple materials of various types
dc.contributor.author | Wineman, Alan S. | en_US |
dc.date.accessioned | 2006-09-08T19:33:53Z | |
dc.date.available | 2006-09-08T19:33:53Z | |
dc.date.issued | 1969-03 | en_US |
dc.identifier.citation | Wineman, A. S.; (1969). "Controllable motions of compressible simple materials of various types." Acta Mechanica 7(1): 99-118. <http://hdl.handle.net/2027.42/41721> | en_US |
dc.identifier.issn | 1619-6937 | en_US |
dc.identifier.issn | 0001-5970 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/41721 | |
dc.description.abstract | It is shown that a motion is possible in every compressible homogeneous isotropic simple solid having a certain range of memory, in the presence of a constant body force field, if and only if it is homogeneous and uniformly accelerated after a certain time. In the class of solids having perfect memory, the only motion of this kind which can be smoothly initiated in a body at rest is a rigid one. For the class of solids having finite memory of duration T and initially at rest, the motions of the type considered need be homogeneous and uniformly accelerated only after time T . For those solids having fading memory, the motion must reduce to a fixed homogeneous deformation. Similar results are developed for simple fluids and anisotropic simple solids. Es wird gezeigt, daß in jedem kompressiblen, homogenen und isotropen einfachen Festkörper mit einem gewissen Erinnerungsbereich und in Gegenwart eines konstanten Massenkraftfeldes eine Bewegung dann und nur dann möglich ist, wenn sie homogen und nach einer gewissen Zeit gleichmäßig beschleunigt ist. Bei Festkörpern mit vollkommener Erinnerung ist die einzige Bewegung dieser Art, die bei einem ruhenden Körper glatt eingeleitet werden kann, eine starre. Bei Festkörpern mit begrenzter Erinnerungsdauer T , die anfangs in Ruhe waren, müssen die Bewegungen der betrachteten Art homogen und nur nach der Zeit T gleichmäßig beschleunigt sein. Für Festkörper mit schwindendem Gedächtnis reduziert sich die Bewegung auf eien feste homogene Verformung. Ähnliche Ergebnisse werden für einfache Flüssigkeiten und anisotrope einfache Festkörper entwickelt. | en_US |
dc.format.extent | 1173840 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag | en_US |
dc.subject.other | Vibration, Dynamical Systems, Control | en_US |
dc.subject.other | Structural Mechanics | en_US |
dc.subject.other | Engineering Thermodynamics, Transport Phenomena | en_US |
dc.subject.other | Engineering | en_US |
dc.subject.other | Numerical and Computational Methods in Engineering | en_US |
dc.subject.other | Engineering Fluid Dynamics | en_US |
dc.subject.other | Continuum Mechanics and Mechanics of Materials | en_US |
dc.title | Controllable motions of compressible simple materials of various types | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Civil and Environmental Engineering | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Dept. of Engineering Mechanics, The University of Michigan, 48104, Ann Arbor, Michigan, U.S.A. | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/41721/1/707_2005_Article_BF01204714.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01204714 | en_US |
dc.identifier.source | Acta Mechanica | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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