Articles with "integral model" as a keyword



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A research into bi-Helmholtz type of nonlocal elasticity and a direct approach to Eringen’s nonlocal integral model in a finite body

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Published in 2018 at "Acta Mechanica"

DOI: 10.1007/s00707-018-2180-9

Abstract: There are exhaustive reports revolving around the nonlocal differential beam models of micro- and nano-electromechanical systems (MEMS–NEMS), carbon nanotubes (CNTs), nanomaterials, etc., since the nonlocal continuum theory is considered a viable option for shedding light… read more here.

Keywords: helmholtz type; nonlocal integral; model; eringen nonlocal ... See more keywords
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The invasive weed optimization–based inversion of parameters in probability integral model

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Published in 2019 at "Arabian Journal of Geosciences"

DOI: 10.1007/s12517-019-4592-9

Abstract: The probability integral model is popularly used to study and predict the movement and deformation of ground surface caused by the coal mining. The parameters to be inversed in this model mainly impact the accuracy… read more here.

Keywords: weed optimization; probability integral; invasive weed; model ... See more keywords
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One-dimensional stress-driven nonlocal integral model with bi-Helmholtz kernel: Close form solution and consistent size effect

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Published in 2021 at "Applied Mathematical Modelling"

DOI: 10.1016/j.apm.2020.07.058

Abstract: Abstract In this paper, stress-driven nonlocal integral model with bi-Helmholtz kernel is applied to investigate the elastostatic tensile and free vibration analysis of microbar. The relation between nonlocal stress and strain is expressed as first… read more here.

Keywords: driven nonlocal; stress driven; nonlocal integral; model ... See more keywords
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The consistency of the nonlocal strain gradient integral model in size-dependent bending analysis of beam structures

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Published in 2021 at "International Journal of Mechanical Sciences"

DOI: 10.1016/j.ijmecsci.2020.105991

Abstract: Abstract Despite the extensive applications of the nonlocal strain gradient theory to predict the size-effect of beam-like structures, the inconsistencies of its differential form have been uncovered recently. For bounded beam structures, there are additional… read more here.

Keywords: boundary conditions; nonlocal strain; size; integral model ... See more keywords
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Closed-Form Solution of the Bending Two-Phase Integral Model of Euler-Bernoulli Nanobeams

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Published in 2022 at "Algorithms"

DOI: 10.3390/a15050151

Abstract: : Recent developments have shown that the widely used simplified differential model of Eringen’s nonlocal elasticity in nanobeam analysis is not equivalent to the corresponding and initially proposed integral models, the pure integral model and… read more here.

Keywords: integral model; model; model euler; phase integral ... See more keywords