A FEM formulation for the analysis of laminated and functionally graded hyperelastic beams with continuous transverse shear stresses

Coda, Humberto Breves; Bernardo, Caio César La-Cava Gonçalves; Paccola, Rodrigo Ribeiro

doi:10.1016/j.compstruct.2022.115606

Cited by 5 publications

(2 citation statements)

References 39 publications

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“…frame must be done accordingly, both in initial and current configuration. Coda et al [35,45] provided an alternative method to evaluate them. The gradient of the initial configuration mapping is given by:…”

Section: Laminated 2d Frame Element In Fempmentioning

confidence: 99%

Nonlinear numerical analysis of corroded reinforced concrete structures using laminated frame elements

Teodoro,

Carrazedo

2024

Mater Struct

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This study presents an innovative numerical model built on the position-based finite element method, using laminated frame elements to predict the displacement of beams under corrosion-a common type of damage in reinforced concrete structures resulting from the penetration of chlorides and carbon dioxide. Over time, these reactions lead to detrimental effects such as cracks, reduction of rebars' area and consequently stiffness reduction. The expected increase of corrosion impact due to climate change-induced rising temperatures and heightened carbon dioxide levels highlights the crucial need to comprehend the structural behavior under corrosive conditions for precise displacement prediction and determination of maintenance intervals. The proposed model incorporates the geometric and physical non-linearity along with the uniform reduction in rebar area that subsequentially affects the elements' inertia and, therefore, the stiffness of the structure. Notably, the obtained results for beam displacements under carbonation-induced corrosion exhibit promising agreement with existing literature, validating the effectiveness of the proposed approach.

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Section: Laminated 2d Frame Element In Fempmentioning

confidence: 99%

Nonlinear numerical analysis of corroded reinforced concrete structures using laminated frame elements

Teodoro,

Carrazedo

2024

Mater Struct

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“…The potential energy function is formulated according to the neo-Hookean model and the Cauchy–Green tensor. Coda et al [ 25 ] elaborated a finite element formulation to analyze the laminated and functionally graded hyperelastic one-dimensional structure with transverse shear stress distribution. Dastjerdi et al [ 26 ] introduced a comprehensive theoretical method to examine the mechanical responses of hyperelastic structures.…”

Section: Introductionmentioning

confidence: 99%

Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures

2022

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In this paper, an annular/circular plate made of hyperelastic material and considering the viscoelastic property was investigated based on a novel nonlinear elasticity theory. A new approach for hyperelastic materials in conjunction with the Kelvin–Voigt scheme is employed to obtain the structure’s large deformation under uniform transverse loading. The constitutive equations were extracted using the energy method. The derived partial differential time-dependent equations have been solved via the semi-analytical polynomial method (SAPM). The obtained results have been validated by ABAQUS software and the available paper. In consequence, a good agreement between the results was observed. Finally, several affecting parameters on the analysis have been attended to and studied, such as the nonlinear elasticity analysis, the boundary conditions, loading, and the material’s viscosity. It can be possible to obtain the needed time for achieving the final deformation of the structure based on the applied analysis in this research.

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A closed-form solution for accurate stress analysis of functionally graded Reddy beams

Ruocco

Reddy

2023

Composite Structures

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A FEM formulation for the analysis of laminated and functionally graded hyperelastic beams with continuous transverse shear stresses

Cited by 5 publications

References 39 publications

Nonlinear numerical analysis of corroded reinforced concrete structures using laminated frame elements

Nonlinear numerical analysis of corroded reinforced concrete structures using laminated frame elements

Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures

A closed-form solution for accurate stress analysis of functionally graded Reddy beams

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