Published in
Elsevier, Applied Mathematics Letters, 4(16), p. 619-625, 2003
DOI: 10.1016/s0893-9659(03)80121-0
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Analysis of contact of elastic rods subject to large displacements
Journal article published in 2003 by
Pierre Béal,
Rachid Touzani 
This paper is made freely available by the publisher.
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Abstract
We present a mathematical model for describing motion of two elastic rods in contact. The model allows for large displacements and is essentially based on {\sc Cosserat}'s modeling of rods. Existence of a static solution is proved in the case of a unique rod using a penalty technique. The contact modeling involves unilateral constraints on the central lines of the rods. Existence is also proved for this contact problem.