Friedemann Schuricht

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We derive the Euler-Lagrange equations for nonlinearly elastic rods with selfcontact. The excluded-volume constraint is formulated in terms of an upper bound on the global curvature of the centre line. This condition is shown to guarantee the global injectivity of the deformation of the elastic rod. Topological constraints such as a prescribed knot and link(More)
Investigating obstacle problems for elastic rods we are sometimes confronted with the question to look for a solution which has a prescribed shape along some part of it. In the simplest case the rod is enforced to be straight along some contact area (cf., e.g., Gastaldi & Kinderlehrer [3]). Motivated by such applications we study straight configurations of(More)
1. DieMikromethode von Pantschenko gibt mit der Makro-Westergren-Methode gute übereinstimmende Ablesungswerte undeignet sich dahergut für Untersuchungen im Kleinkindesalter. 2. Die an 250 gesunden Kindern des ersten Lebensjahres ermittelten Senkungswerte werden in einer Kurve wiedergegeben. 3. Die3 Perioden (Neugeborener, junger, älterer Säugling) zeigen(More)
This paper treats several aspects of the induced geometrically exact theory of shearable rods, of central importance for contact problems, for which the regularity of solutions depends crucially on the presence of shearability. (An induced theory is one derived from the 3-dimensional theory by the imposition of constraints. Because the role of thickness(More)