Large deflection analysis of nanowires based on nonlocal theory using total Lagrangian finite element method

Taghipour, Yasser; Baradaran, Gholam Hossein

doi:10.1007/s00707-017-1837-0

Cited by 11 publications

(2 citation statements)

References 31 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%

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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%

“…Taghipour and Baradaran [9] developed a large deflection model based on the nonlocal theory for nanowires. The numerical results were verified with the existence of numerical data for small deflections of the Timoshenko nanobeams.…”

Section: Introductionmentioning

confidence: 99%