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Contact interaction inside knot connections of cables

Knots as a method for the fastening of ropes and other linear materials are widely appearing in practical applications in sailing, in surgery, in textile and rope structures etc. The mechanics of knots, however, appears to be not sufficiently covered neither by analytical methods, nor by computational methods. From a computational mechanics point of view a knot is a perfect example requiring both a robust smooth cable element and a robust curve‐to‐curve contact algorithm. The current contribution is aimed on the development this combination the isogeometric approach for curvilinear beams and the robust curve‐to‐curve contact algorithm for curvilinear cables. The developed model is applied studying the mechanics of various knots. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)