Geodesic finite elements for Cosserat rods
β Scribed by Oliver Sander
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 483 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.2814
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π SIMILAR VOLUMES
In this paper, a new element for higher order rod (normally referred to as Minlin-Herrman rod) is formulated by introducing lateral contraction e ects. The cross-section is assumed to be rectangular. The sti ness and mass matrices are obtained by using interpolating functions that are exact solution
## Abstract This paper describes an improvement of the Cosserat point element formulation for initially distorted, nonβrectangular shaped elements in 2D. The original finite element formulation for 3D large deformations shows excellent behaviour for sensitive geometries, large deformations, coarse
Isoparametric elements are only valid if the Jacobian determinant of the transformation between a given element and a master element does not change sign within or on the element boundary. Some algorithms are known which analyse Jacobians for various element types. Some necessary conditions are pres