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Variational principles for nonlinear Kirchhoff rods

  • Ignacio RomeroEmail author
  • Cristian G. Gebhardt
Original Paper
  • 29 Downloads

Abstract

The present article studies variational principles for the formulation of static and dynamic problems involving Kirchhoff rods in a fully nonlinear setting. These results, some of them new, others scattered in the literature, are presented in a self-contained fashion, helping to clarify certain aspects that have remained obscure. In particular, the study of transversely isotropic models reveals the delicate role that differential geometry plays in their formulation and unveils consequently some approximations that can be made to obtain simplified formulations.

Notes

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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.IMDEA Materials InstituteMadridSpain
  2. 2.Universidad Politécnica de MadridMadridSpain
  3. 3.Institute of Structural AnalysisLeibniz Universität HannoverHannoverGermany

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