Journal of Elasticity

, Volume 86, Issue 2, pp 155–172 | Cite as

A Material Momentum Balance Law for Rods

Article

Abstract

A material momentum balance law is presented in this paper where it is also specialized for a variety of rod and string theories. The local form of the law is assumed to be identically satisfied, while the jump condition provides an extra equation which is often needed to solve problems involving the application of rod and string theories. The balance law is also related to several existing conservation laws for strings and rods, including Kelvin’s circulation theorem. A novel identity for the singular sources at a discontinuity is also established.

Key words

rod theory material forces configurational forces Cosserat theory of rods conservation laws 

Mathematics Subject Classifications (2000)

46.05 46.25 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of CaliforniaBerkeleyU.S.A.

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