Lagrangian field theory in space and time for geometrically exact Cosserat rods

Lang H, Linn J (2009)

Publication Type: Other publication type

Publication year: 2009

Series: ITWM report

Pages Range: 21

Journal Issue: 150

Abstract

In this article, we derive the balance of linear and angular momentum equations for geometrically exact Cosserat rods from a two dimensional Lagrangian field approach in space and time. As we use a full quaternion description for the rotatory part of the balance equations, they constitute a system of nonlinear hyperbolic partial differential algebraic equations. We prove their equivalence to the classical Euclidean frame description

Involved external institutions

Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics DE Germany (DE)

How to cite

APA:

Lang, H., & Linn, J. (2009). Lagrangian field theory in space and time for geometrically exact Cosserat rods.

MLA:

Lang, Holger, and Joachim Linn. Lagrangian field theory in space and time for geometrically exact Cosserat rods. 2009.

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