On the shell model for human eye in Glaucoma disease

Dastjerdi, Shahriar; Akgöz, Bekir; Cívalek, Ömer

doi:10.1016/j.ijengsci.2020.103414

Cited by 28 publications

(8 citation statements)

References 58 publications

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“…This research uses the semi-analytical method based on polynomials (SAPM) to solve the governing equations [ 43 , 44 ]. According to this method, the displacement functions (

, and

) are formulated as comprehensive polynomials based on the number of nodes (

and

) in each direction of the independent variable of the problem (

and

).…”

Section: Solution Methodsmentioning

confidence: 99%

“…In the above equations,

and

are transport displacements, and

is the rotation function around the

axes. Now, using the energy method [ 43 , 44 , 45 ] (

), the mathematical description of boundary conditions and governing equations can be introduced as the following equations.

…”

Section: Nonlinear Elastic Materials and Governing Equationsmentioning

confidence: 99%

“…More information about the nonlinear dynamics of hyperelastic structures can be found in the recent review article [ 30 ]. Additionally, many studies have been carried out on analyzing viscoelastic structures [ 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 ]. Li et al [ 46 ] presented a perturbation approach for the lateral vibration analysis of viscoelastic microstructures.…”

Section: Introductionmentioning

confidence: 99%

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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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“…This research uses the semi-analytical method based on polynomials (SAPM) to solve the governing equations [ 43 , 44 ]. According to this method, the displacement functions (

, and

) are formulated as comprehensive polynomials based on the number of nodes (

and

) in each direction of the independent variable of the problem (

and

).…”

Section: Solution Methodsmentioning

confidence: 99%

“…In the above equations,

and

are transport displacements, and

is the rotation function around the

axes. Now, using the energy method [ 43 , 44 , 45 ] (

), the mathematical description of boundary conditions and governing equations can be introduced as the following equations.

…”

Section: Nonlinear Elastic Materials and Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures

2022

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“…There are several simulations for this aspect in mechanics; however, the Kelvin-Voigt model has been used in this research due to its efficient and straightforward formulation. The details for this consideration can be found in many papers (Cruz-González et al, 2020;Dastjerdi & Abbasi, 2020;Dastjerdi, Akgöz & Civalek, 2020, 2021aGhayesh, 2019;Jalaei & Civalek, 2019;Malikan & Eremeyev, 2020). Eventually, the introduced strain components in Eq.…”

Section: ∂U R ∂φmentioning

confidence: 99%

On the deformation and frequency analyses of SARS-CoV-2 at nanoscale

Dastjerdi

Malikan

Akgöz

et al. 2022

International Journal of Engineering Science

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“…Visual impairment is a significant health problem in the sub-Saharan Africa. The major eye conditions include cataracts, uncorrected refractive errors, glaucoma, age-related macular degeneration, corneal opacities, diabetic retinopathy, trachoma, and onchocerciasis [8,9]. In addition, glaucoma is labelled as worldwide problem of the eye diseases where 111 million of individuals are projected to be affected by 2040 [10].…”

Section: Introductionmentioning

confidence: 99%

Biaxial Estimation of Biomechanical Constitutive Parameters of Passive Porcine Sclera Soft Tissue

Ndlovu

Desai

Pandelani

et al. 2022

Applied Bionics and Biomechanics

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This study assesses the modelling capabilities of four constitutive hyperelastic material models to fit the experimental data of the porcine sclera soft tissue. It further estimates the material parameters and discusses their applicability to a finite element model by examining the statistical dispersion measured through the standard deviation. Fifteen sclera tissues were harvested from porcine’ slaughtered at an abattoir and were subjected to equi-biaxial testing. The results show that all the four material models yielded very good correlations at correlations above 96%. The polynomial (anisotropic) model gave the best correlation of 98%. However, the estimated material parameters varied widely from one test to another such that there would be need to normalise the test data to avoid long optimisation processes after applying the average material parameters to finite element models. However, for application of the estimated material parameters to finite element models, there would be need to consider normalising the test data to reduce the search region for the optimisation algorithms. Although the polynomial (anisotropic) model yielded the best correlation, it was found that the Choi-Vito had the least variation in the estimated material parameters, thereby making it an easier option for application of its material parameters to a finite element model and requiring minimum effort in the optimisation procedure. For the porcine sclera tissue, it was found that the anisotropy was more influenced by the fiber-related properties than the background material matrix-related properties.

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On the shell model for human eye in Glaucoma disease

Cited by 28 publications

References 58 publications

Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures

Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures

On the deformation and frequency analyses of SARS-CoV-2 at nanoscale

Biaxial Estimation of Biomechanical Constitutive Parameters of Passive Porcine Sclera Soft Tissue

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