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A Note on the Co-linearity of forces and Displacements in an Elastic Structure
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
2011 (English)In: Journal of Applied Fluid Mechanics, ISSN 1735-3572, E-ISSN 1735-3645, Vol. 78, no 6, Art. no. 4003912- p.Article in journal (Refereed) Published
Abstract [en]

Theconditions under which force vectors and corresponding displacement vectors becomeco-linear are investigated under the assumption of a linear elasticstructure and for an arbitrary number of loading points. Itis shown that there exist an infinite number of directionsalong which the load and displacement vectors in each loadingpoint coincide. Moreover, the problem of co-linearity is analogous tothe problem of finding the extreme values of the workperformed on an elastic structure under the constraint that eachforce has a given magnitude. The result for a finitenumber of loading points is extended to a continuous loaddistribution on the boundary of an elastic structure, i.e., itis possible to find an infinite number of load distributionssuch that the displacement in a point on the boundaryis co-linear with the boundary stress vector in that samepoint.

Place, publisher, year, edition, pages
2011. Vol. 78, no 6, Art. no. 4003912- p.
Keyword [en]
Linear elasticity co-linearity
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:miun:diva-15086DOI: 10.1115/1.4003912ISI: 000295615500011Scopus ID: 2-s2.0-80052433090OAI: oai:DiVA.org:miun-15086DiVA: diva2:462751
Available from: 2011-12-08 Created: 2011-12-08 Last updated: 2016-10-27Bibliographically approved

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Gradin, PerIsaksson, PerGulliksson, Mårten
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