A finite element modeling for large deflection analysis of uniform and tapered nanowires with good interpretation of experimental results

Taghipour, Yasser; Baradaran, Gholam Hossein

doi:10.1016/j.ijmecsci.2016.05.006

Cited by 13 publications

(13 citation statements)

References 29 publications

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“…In the third approximation of the Timoshenko beam theory [7,9,33], the displacement field is as simple as possible without simplifying assumptions; only the strain xx ε is simplified using the consistent linearization method as follows: cos sin…”

Section: The Fifth Methodsmentioning

confidence: 99%

“…A code was used based on the finite element components to solve the equations of the fifth method as mentioned by Felippa [33]. The results of the finite element program were compared with experimental results [7]. The comparison results are depicted in Fig.…”

Section: Selection Of the Most Accurate Methodsmentioning

confidence: 99%

“…4. Comparison of the results of the fifth method for large deflections of a steel cantilever beam under distributed and concentrated force with experimental data [7].…”

Section: Selection Of the Most Accurate Methodsmentioning

confidence: 99%

“…Taghipour and Baradaran [7] proposed a large deflection model by considering surface effects for nanowires. This model was verified by experimental data and used for interpretation of some other experiments.…”

Section: Introductionmentioning

confidence: 99%

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A Method for Comparison of Large Deflection in Beams

Taghipour

Darfarin

2022

International Journal of Applied Mechanics and Engineering

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The deflection analysis of beams has been recently an active area of research. The large deflection of beams refers to deflections occurring due to large displacements and small strains. This type of deflection has been one of the areas of interest in the development of beam deformation methods. The wide diversity of beam deformation methods highlights the importance of their comparison to further elucidate the properties and features of each method and determine their benefits and limitations. In this study, a new comparison model is introduced which involves three steps, instead of only comparing final results for verification in common studies. In the first step, a complete comparison is made based on the assumptions and approximations of each method of the kinematics of deformation, displacement, and strain fields. After selecting the most accurate method in the first step, the displacement functions are determined by polynomial approximation under different loading and support conditions based on the selected method. In the third step, the displacement functions are used to calculate the strains in each method. The conclusion is based on comparing the strains. This comparative model can be used as a benchmark to compare different theories of deformation analysis.

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Section: The Fifth Methodsmentioning

confidence: 99%

Section: Selection Of the Most Accurate Methodsmentioning

confidence: 99%

“…4. Comparison of the results of the fifth method for large deflections of a steel cantilever beam under distributed and concentrated force with experimental data [7].…”

Section: Selection Of the Most Accurate Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Method for Comparison of Large Deflection in Beams

Taghipour

Darfarin

2022

International Journal of Applied Mechanics and Engineering

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“…The researchers searched for a way to accurately replicate the behavior of the nanostructure since the conventional elasticity theory is unable to account for dimension effects. Based on increasing the surface-to-volume ratio in the nanostructures, modified theories of elasticity by the surface effects are suggested for the modeling the size effects [22].…”

Section: Introductionmentioning

confidence: 99%

Functionally graded nanobeams subjected to large deflection by considering surface effects

Taghipour,

Zeinali

2023

Scientia Iranica

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In the current study, structurally graded nanobeams with distributed load are subjected to a large deflection analysis that takes surface effects into account. The nanobeams Young's elasticity modulus changes with thickness under a power-law function. The displacement elements are presented, generalization of the Young-Laplace formula is employed to account for the surface effects, and the total Lagrangian finite element formulation is utilized to get the outcomes by cracking the system of nonlinear differential equations founded on the Timoshenko beams theory. The reliability and correctness of the findings are confirmed by comparison with previously published publications. The investigation is done into how various characteristics, including length-to-thickness ratio, material gradient index, boundary conditions, and surface effects, affect the outcomes. The findings demonstrate that, in the presence of surface effects, residual surface tension plays a significant influence on the deflection of nanobeams. Additionally, a comparison of the power-law and exponential kinds of FG distribution is conducted in this study, and it is discovered that the FG materials with the power-law distribution are more applicable since they are less susceptible to surface effects than the exponential type.

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Analysis of large deflection of nanobeams based on the modified couple stress theory by using finite element method

Estabragh

Baradaran

2021

Arch Appl Mech

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A finite element modeling for large deflection analysis of uniform and tapered nanowires with good interpretation of experimental results

Cited by 13 publications

References 29 publications

A Method for Comparison of Large Deflection in Beams

A Method for Comparison of Large Deflection in Beams

Functionally graded nanobeams subjected to large deflection by considering surface effects

Analysis of large deflection of nanobeams based on the modified couple stress theory by using finite element method

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