Nonlinear constitutive behavior of orthotropic materials

Lellep, Jaan; Majak, Jüri

doi:10.1007/bf02262803

Cited by 20 publications

(9 citation statements)

References 7 publications

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“…Neo-Hookean and Mooney–Rivlin models are used for typical nonlinear analysis such as cable analysis [ 2 , 3 ]. In addition, nonlinear material behavior can be expressed as a stress–strain relationship using other coefficients [ 4 ]. However, nonlinear elastic models have complex parameters to consider, which can affect the accuracy of the model.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Cable Behavior Using Finite Element Analysis Results for Flexible Cables

Kim

2023

Sensors

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In actual industrial sites, verifying the framework for cable manipulation is crucial. Therefore, it is necessary to simulate the deformation of the cable to predict its behavior accurately. By simulating the behavior in advance, it is possible to reduce the time and cost required for work. Although finite element analysis is used in various fields, the results may differ from the actual behavior depending on the method of defining the analysis model and analysis conditions. This paper aims to select appropriate indicators that can effectively cope with finite element analysis and experiments during cable winding work. We perform finite element analysis of the behavior of flexible cables and compare the analysis results with results from experiments. Despite some differences between the experimental and analysis outcomes, an indicator was developed through trial and error to align the two cases. Errors occurred during the experiments depending on the analysis and experimental conditions. To address this, weights were derived through optimization to update the cable analysis results. Additionally, deep learning was utilized to update the errors caused by material properties using the weights. This allowed for finite element analysis even when the exact physical properties of the material were unknown, ultimately improving the analysis performance.

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Section: Introductionmentioning

confidence: 99%

Prediction of Cable Behavior Using Finite Element Analysis Results for Flexible Cables

Kim

2023

Sensors

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“…The Shi shear deformation theory [22] is a higher-order shear deformation theory that has many advantages, as discussed in detail in the literature [22,23], and it gives an accurate solution for the analysis of shear flexible plates. This theory can be developed to solve the nonlinear constitutive behavior of materials [24] and problems of materials with misfitting inclusions [25].…”

Section: Introductionmentioning

confidence: 99%

Research on the Buckling Behavior of Functionally Graded Plates with Stiffeners Based on the Third-Order Shear Deformation Theory

et al. 2019

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This paper presents a finite element formulation to study the mechanical buckling of stiffened functionally graded material (FGM) plates. The approach is based on a third-order shear deformation theory (TSDT) introduced by Guangyu Shi. The material properties of the plate were assumed to be varied in the thickness direction by a power law distribution, but the material of the stiffener was the same as that of the one of the bottom surface where the stiffener was placed. A parametric study was carried out to highlight the effect of material distribution, the thickness-to-width ratio, and stiffener parameters on the buckling characteristics of the stiffened FGM plates. Numerical results showed that the addition of stiffener to the FGM plate could significantly reduce the weight of the FGM plate but that both the FGM plates with and without stiffener had equally high strength in the same boundary condition and compression loading.

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“…Pedersen [25] analysed on the basis of some structure the extension from the elasticity results to nonlinearity case. Lellap and Majak [26] focused on the problem of optimal material orientation using nonlinear elastic material. The same authors in [27] solved the problem of the minimization of elastic energy density for nonlinear elastic solids.…”

Section: Introductionmentioning

confidence: 99%

The Study of Buckling and Post-Buckling of a Step-Variable FGM Box

Czechowski

Kołakowski

2019

Materials

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This work concerns the analysis of a thin-walled box made of ceramic and step-variable functionally graded material (FGM) subjected to compression. The components of the box taken into account were pure alumina and aluminium-alumina graded material. The problem was solved on the basis of a finite element method and Koiter’s asymptotic theory using a semi-analytical method (SAM). It analysed both the buckling state and the post-buckling state of the box. In addition, three conditions were considered: The presence of alumina outside or inside of the box and a mixed case. The obtained results were presented and discussed.

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Nonlinear constitutive behavior of orthotropic materials

Cited by 20 publications

References 7 publications

Prediction of Cable Behavior Using Finite Element Analysis Results for Flexible Cables

Prediction of Cable Behavior Using Finite Element Analysis Results for Flexible Cables

Research on the Buckling Behavior of Functionally Graded Plates with Stiffeners Based on the Third-Order Shear Deformation Theory

The Study of Buckling and Post-Buckling of a Step-Variable FGM Box

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