Finite element analysis of functionally graded hyperelastic beams under plane stress (2019)
- Autor:
- Autor USP: PASCON, JOÃO PAULO - EEL
- Unidade: EEL
- DOI: 10.1007/s00366-019-00761-w
- Assunto: ENGENHARIA AERONÁUTICA
- Keywords: Functionally graded materials; Highly deformable beams; 2D Finite elements with transverse enrichment; Plane stress neo-Hookean hyperelastic model
- Language: Inglês
- Abstract: An alternative fnite element formulation to analyze highly deformable beams composed of functionally graded (FG) hyperelastic material is presented. The 2D beam element adopted has a general order and seven degrees of freedom per node, allowing both axial and shear efects, as well as cubic variation of transverse strains. The constitutive law employed is the hyperelastic compressible neo-Hookean model for plane stress conditions. The material coefcients vary along the beam thickness according to the power law. The nonlinear system of equilibrium equations is solved numerically by the Newton– Raphson iterative technique. Full integration scheme and division in load steps are employed to obtain accuracy and stability, respectively. Four illustrative examples involving highly deformable elastic beams under plane stress and static conditions are analyzed: cantilever beam under free-end shear force, semicircular cantilever beam, column under buckling and shallow thin arch. The efects of the mesh refnement, the FG power coefcient and the transverse enrichment scheme on the beam behavior are investigated. In general, mesh refnement provides more accurate results, the power coefcient has a more signifcant efect on displacements and the second enrichment rate is needed to correctly predict the nonlinear variation of transverse strains across the thickness. This nonlinear variation, together with the moderate values of strains and stresses achieved, reinforces the need of adopting a nonlinear hyperelastic model. Finally, the determination of the out-of-plane strain from the plane components is solved numerically by a proposed Newton’s method.
- Imprenta:
- Source:
- Título: Engineering with computers
- ISSN: 01770667
- Volume/Número/Paginação/Ano: v.36, p.1265-1288, 2019
- Este periódico é de assinatura
- Este artigo NÃO é de acesso aberto
- Cor do Acesso Aberto: closed
-
ABNT
PASCON, João Paulo. Finite element analysis of functionally graded hyperelastic beams under plane stress. Engineering with computers, v. 36, p. 1265-1288, 2019Tradução . . Disponível em: https://doi.org/10.1007/s00366-019-00761-w. Acesso em: 02 dez. 2025. -
APA
Pascon, J. P. (2019). Finite element analysis of functionally graded hyperelastic beams under plane stress. Engineering with computers, 36, 1265-1288. doi:10.1007/s00366-019-00761-w -
NLM
Pascon JP. Finite element analysis of functionally graded hyperelastic beams under plane stress [Internet]. Engineering with computers. 2019 ;36 1265-1288.[citado 2025 dez. 02 ] Available from: https://doi.org/10.1007/s00366-019-00761-w -
Vancouver
Pascon JP. Finite element analysis of functionally graded hyperelastic beams under plane stress [Internet]. Engineering with computers. 2019 ;36 1265-1288.[citado 2025 dez. 02 ] Available from: https://doi.org/10.1007/s00366-019-00761-w - Large deformation analysis of plane-stress hyperelastic problems via triangular membrane finite elements
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Informações sobre o DOI: 10.1007/s00366-019-00761-w (Fonte: oaDOI API)
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