On constitutive equations for branching of response with selectivity
dc.contributor.author | Rajagopal, Kumbakonam R. | en_US |
dc.contributor.author | Wineman, Alan S. | en_US |
dc.date.accessioned | 2006-04-07T17:28:26Z | |
dc.date.available | 2006-04-07T17:28:26Z | |
dc.date.issued | 1980 | en_US |
dc.identifier.citation | Rajagopal, K. R., Wineman, A. (1980)."On constitutive equations for branching of response with selectivity." International Journal of Non-Linear Mechanics 15(2): 83-91. <http://hdl.handle.net/2027.42/23362> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6TJ2-46M758M-1M/2/8d258d5dcc17cc1941aa9396157b5629 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/23362 | |
dc.description.abstract | Materials, such as elastic-plastic, which exhibit distinct regimes of response are usually modeled by different constitutive equations in each regime. The present paper explores a method for the construction of a unified constitutive equation from these separate relations. The main idea is to write this unified equation in an implicit form which contains these separate solutions as non-unique solutions. The form is chosen in order to utilize the notions of branch points and branches. Different solutions, corresponding to constitutive equations for different regimes of response, are then regarded as bifurcations at branch points from the fundamental response. The choice of the appropriate branch at a branch point is governed by a selectivity condition which depends on the nature of the response under consideration. A detailed example is provided for elastic-plastic response, with and without the effect of strain rate dependence. | en_US |
dc.format.extent | 691128 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | On constitutive equations for branching of response with selectivity | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Applied Mechanics and Engineering Science, The University of Michigan, Ann Arbor, MI 48109, U.S.A. | en_US |
dc.contributor.affiliationum | Department of Applied Mechanics and Engineering Science, The University of Michigan, Ann Arbor, MI 48109, U.S.A. | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/23362/1/0000306.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0020-7462(80)90002-5 | en_US |
dc.identifier.source | International Journal of Non-Linear Mechanics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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