A Material Momentum Balance Law for Rods |
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| Authors: | Oliver M O’Reilly |
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| Institution: | (1) Department of Mechanical Engineering, University of California, Berkeley, CA, 94720, U.S.A. |
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| 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.
Dedicated to James N. Flavin, my friend and mentor, on the occasion of his 70th Birthday. |
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| Keywords: | rod theory material forces configurational forces Cosserat theory of rods conservation laws |
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