#### Filter Results:

- Full text PDF available (10)

#### Publication Year

2000

2017

- This year (1)
- Last 5 years (1)
- Last 10 years (3)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

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)

In this paper we are interested in regularity results to obstacle problems for shearable nonlinearly elastic rods. We work with the geometrically exact Cosserat theory for planar deformations which describes rods that can suffer not only flexure but also extension and shear and it involves general nonlinear constitutive relations. This is a consistent… (More)

We study the contact between nonlinearly elastic bodies by variational methods. After the formulation of the mechanical problem we provide existence results based on polyconvexity and on quasiconvexity. Then we derive the Euler-Lagrange equation as a necessary condition for minimizers. Here Clarke’s generalized gradients are the essential tool to treat the… (More)

- Friedemann Schuricht
- SIAM Journal of Applied Mathematics
- 2000

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)

- Friedemann Schuricht
- J. Nonlinear Science
- 2008

Minimizers of the total variation subject to a prescribed L-norm are considered as eigensolutions of the 1-Laplace operator. The derivation of the corresponding eigenvalue equation, which requires particular care due to the lack of smoothness, is carried out in a previous paper by using a special Lagrange multiplier rule based on Degiovanni’s weak slope.… (More)

- F. Schuricht
- Zeitschrift für Kinderheilkunde
- 2005

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)

We treat the problem of constructmg exact théories of rods and shells for thm mcom pressible bodies We employ a systematic method that consists m imposmg constramts to reduce the number of degrees of freedom df each cross section to a finit e number We show that it is very difficult to produce théories that exactly preserve the mcompressibihty and we show… (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)

The paper studies differential equations of the form u′(x) = f(x, u(x), λ(x)), u(x0) = u0, where the right hand side is merely measurable in x. In particular sufficient conditions for the continuous and the differentiable dependence of solution u on the data and on the parameter λ are stated.