An isogeometric finite element formulation for geometrically exact Timoshenko beams with extensible directors

Myung-Jin Choi; Roger Sauer; Sven Klinkel

doi:10.1016/j.cma.2021.113993

An isogeometric finite element formulation for geometrically exact Timoshenko beams with extensible directors

Abstrakt

An isogeometric finite element formulation for geometrically and materially nonlinear Timoshenko beams is presented, which incorporates in-plane deformation of the cross-section described by two extensible director vectors. Since those directors belong to the space R3, a configuration can be additively updated. The developed formulation allows direct application of nonlinear three-dimensional constitutive equations without zero stress conditions. Especially, the significance of considering correct surface loads rather than applying an equivalent load directly on the central axis is investigated. Incompatible linear in-plane strain components for the cross-section have been added to alleviate Poisson locking by using an enhanced assumed strain (EAS) method. In various numerical examples exhibiting large deformations, the accuracy and efficiency of the presented beam formulation is assessed in comparison to brick elements. We particularly use hyperelastic materials of the St.Venant-Kirchhoff and compressible Neo- Hookean types.

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Wersja publikacji: Accepted albo Published Version
DOI:: Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1016/j.cma.2021.113993
Licencja: otwiera się w nowej karcie

Słowa kluczowe

TIMOSHENKO BEAM, GEOMETRIC AND MATERIAL NONLINEARITY, EXTENSIBLE DIRECTORS, SURFACE LOADS, EAS METHOD, ISOGEOMETRIC ANALYSIS

Informacje szczegółowe

Kategoria:: Publikacja w czasopiśmie
Typ:: artykuły w czasopismach
Opublikowano w:: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING nr 385,
ISSN: 0045-7825
Język:: angielski
Rok wydania:: 2021
Opis bibliograficzny:: Choi M., Sauer R., Klinkel S.: An isogeometric finite element formulation for geometrically exact Timoshenko beams with extensible directors// COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING -Vol. 385, (2021), s.113993-
DOI:: Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1016/j.cma.2021.113993
Weryfikacja:: Politechnika Gdańska