A new 2D beam finite element for nonlinear elastic analysis including warping and shear effects (2019)
- Autor:
- Autor USP: PASCON, JOÃO PAULO - EEL
- Unidade: EEL
- DOI: 10.1007/s40430-019-1760-5
- Subjects: ENGENHARIA AERONÁUTICA; CISALHAMENTO
- Keywords: Shear deformation; 2D beam fnite element; Nonlinear elastic bending; Cross section warping; Functionally graded material
- Language: Inglês
- Abstract: In this paper, a fnite-element formulation based on positional description is proposed to predict the large deformation behavior of short beams including shear deformation and cross section warping. A higher-order shear deformation beam theory is originally employed by means of two generalized vectors. A linear strain rate is also included in order to enrich the approximation of strains along the transverse direction. The formulation accounts for fnite displacements, fnite strains and plane stress conditions in elastic regime. Homogeneous materials, as well as functionally graded composite beams with varying properties along the height, are considered. In all, four beam formulations are described, combining the level of transverse enrichment and the cross section kinematics. A short cantilever beam problem with rectangular cross section is analyzed in detail to illustrate the diferences among the four element formulations regarding displacements, strains and stresses. The numerical results confrm that the inclusion of both linear strain rate and cross section warping are needed to correctly predict the mechanical behavior of the cantilever beam, reproducing variable shear deformation across the height.
- Imprenta:
- Source:
- Título: Journal of the Brazilian Society of Mechanical Sciences and Engineering
- ISSN: 16785878
- Volume/Número/Paginação/Ano: v.41, n.257 , p.1-20, 2019
- Status:
- Nenhuma versão em acesso aberto identificada
-
ABNT
PASCON, João Paulo. A new 2D beam finite element for nonlinear elastic analysis including warping and shear effects. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 41, n. 257 , p. 1-20, 2019Tradução . . Disponível em: https://doi.org/10.1007/s40430-019-1760-5. Acesso em: 02 abr. 2026. -
APA
PASCON, J. P. (2019). A new 2D beam finite element for nonlinear elastic analysis including warping and shear effects. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41( 257 ), 1-20. doi:10.1007/s40430-019-1760-5 -
NLM
PASCON JP. A new 2D beam finite element for nonlinear elastic analysis including warping and shear effects [Internet]. Journal of the Brazilian Society of Mechanical Sciences and Engineering. 2019 ;41( 257 ): 1-20.[citado 2026 abr. 02 ] Available from: https://doi.org/10.1007/s40430-019-1760-5 -
Vancouver
PASCON JP. A new 2D beam finite element for nonlinear elastic analysis including warping and shear effects [Internet]. Journal of the Brazilian Society of Mechanical Sciences and Engineering. 2019 ;41( 257 ): 1-20.[citado 2026 abr. 02 ] Available from: https://doi.org/10.1007/s40430-019-1760-5 - High-order triangular finite elements applied to visco-hyperelastic materials under plane stress
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