Large deformation analysis of plane-stress hyperelastic problems via triangular membrane finite elements (2019)
- Autor:
- Autor USP: PASCON, JOÃO PAULO - EEL
- Unidade: EEL
- DOI: 10.1007/s40091-019-00234-w
- Subjects: ENGENHARIA AERONÁUTICA; DEFORMAÇÃO E ESTRESSES; DEFORMAÇÃO ESTRUTURAL
- Keywords: Isoparametric triangular fnite elements of any order; Hyperelasticity; Large deformation analysis; Plane-stress condition
- Language: Inglês
- Abstract: A finite-element formulation based on triangular membranes of any order is proposed to analyze problems involving highly deformable hyperelastic materials under plane-stress conditions. The element kinematics is based on positional description and the degrees of freedom are the current plane coordinates of the nodes. Two isotropic and nonlinear hyperelastic models have been selected: the compressible neo-Hookean model and the incompressible Rivlin–Saunders model. The constitutive relations and the consistent tangent operator are condensed to the compact 2D forms imposing plane-stress conditions. The resultant algorithm is implemented in a computer code. Three benchmark problems are numerically solved to assess the formulation proposed: the Cook’s membrane, involving bending, shear, and a singularity point; a partially loaded membrane, which presents severe mesh distortion and large compression levels; and a rubber sealing, which is a more realistic problem. Convergence analysis in terms of displacements, applied forces, and stresses is performed for each problem. It is demonstrated that mesh refinement avoids locking problems associated with incompressibility condition, bending-dominated problems, stress concentration, and mesh distortion. The processing times are relatively small even for fifth-order elements.
- Imprenta:
- Source:
- Título: International Journal of Advanced Structural Engineering
- ISSN: 20086695
- Volume/Número/Paginação/Ano: v.11, p.331-350, 2019
- Este artigo possui versão em acesso aberto
- URL de acesso aberto
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- Versão do Documento: Versão publicada (Published version)
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Status: Artigo aberto em periódico híbrido (Hybrid Open Access) -
ABNT
PASCON, João Paulo. Large deformation analysis of plane-stress hyperelastic problems via triangular membrane finite elements. International Journal of Advanced Structural Engineering, v. 11, p. 331-350, 2019Tradução . . Disponível em: https://doi.org/10.1007/s40091-019-00234-w. Acesso em: 11 mar. 2026. -
APA
Pascon, J. P. (2019). Large deformation analysis of plane-stress hyperelastic problems via triangular membrane finite elements. International Journal of Advanced Structural Engineering, 11, 331-350. doi:10.1007/s40091-019-00234-w -
NLM
Pascon JP. Large deformation analysis of plane-stress hyperelastic problems via triangular membrane finite elements [Internet]. International Journal of Advanced Structural Engineering. 2019 ;11 331-350.[citado 2026 mar. 11 ] Available from: https://doi.org/10.1007/s40091-019-00234-w -
Vancouver
Pascon JP. Large deformation analysis of plane-stress hyperelastic problems via triangular membrane finite elements [Internet]. International Journal of Advanced Structural Engineering. 2019 ;11 331-350.[citado 2026 mar. 11 ] Available from: https://doi.org/10.1007/s40091-019-00234-w - High-order triangular finite elements applied to visco-hyperelastic materials under plane stress
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