Articles with "modified couple" as a keyword



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A comparative study of modified strain gradient theory and modified couple stress theory for gold microbeams

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Published in 2018 at "Archive of Applied Mechanics"

DOI: 10.1007/s00419-018-1436-0

Abstract: Microbeams are common structures encountered in micro- and nano-electromechanical systems. Their mechanical response cannot be modelled by local theories of continuum mechanics due to size effect, which becomes more pronounced as the structural length scale… read more here.

Keywords: strain gradient; modified strain; gradient theory; gold microbeams ... See more keywords
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A four-node C$$^{0}$$ tetrahedral element based on the node-based smoothing technique for the modified couple stress theory

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Published in 2020 at "Computational Mechanics"

DOI: 10.1007/s00466-020-01831-3

Abstract: In this paper, a four-node $$C^{0}$$ tetrahedral element for the modified couple stress theory is proposed. Since the governing equations are the fourth-order differential equations, the first-order derivative of displacement or rotation should be approximated… read more here.

Keywords: four node; couple stress; tetrahedral element; node tetrahedral ... See more keywords
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Size-dependent nonlinear dynamics of a microbeam based on the modified couple stress theory

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Published in 2017 at "Acta Mechanica"

DOI: 10.1007/s00707-017-1895-3

Abstract: In this paper, the nonlinear dynamics of an electostatically actuated microbeam with von kármán geometric nonlinearity and squeeze-film damping are studied. The governing equations and the boundary conditions are developed using the modified couple stress… read more here.

Keywords: size dependent; couple stress; nonlinear dynamics; size ... See more keywords
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Refined two-temperature multi-phase-lags theory for thermomechanical response of microbeams using the modified couple stress analysis

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Published in 2018 at "Acta Mechanica"

DOI: 10.1007/s00707-018-2172-9

Abstract: This article presents a refined two-temperature multi-phase-lags thermoelasticity theory for the thermomechanical response of microbeams. The modified couple stress theory has been developed to capture the size effect in the small-size investigation. The microbeam is… read more here.

Keywords: temperature; couple stress; two temperature; phase lags ... See more keywords
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Thermally induced large deflection of FGM shallow micro-arches with integrated surface piezoelectric layers based on modified couple stress theory

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Published in 2019 at "Acta Mechanica"

DOI: 10.1007/s00707-019-02384-0

Abstract: Based on the modified couple stress theory, nonlinear thermally induced large deflection analysis of shallow sandwich arches is studied. A functionally graded material (FGM) micro-arch with piezoelectric layers integrated into the surfaces and with immovable… read more here.

Keywords: theory; couple stress; fgm; stress ... See more keywords
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Modified couple stress theory for three-dimensional elasticity in curvilinear coordinate system: application to micro torus panels

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Published in 2020 at "Meccanica"

DOI: 10.1007/s11012-020-01220-3

Abstract: This research considers size effects in the linear three-dimensional elasticity analysis of micro-tori. The fundamental relations (displacement form) are derived for isotropic toroidal shells in the framework of the modified couple stress theory in the… read more here.

Keywords: three dimensional; theory; couple stress; modified couple ... See more keywords
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A Ritz type solution with exponential trial functions for laminated composite beams based on the modified couple stress theory

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Published in 2018 at "Composite Structures"

DOI: 10.1016/j.compstruct.2018.02.025

Abstract: Abstract This paper proposes novel Ritz functions for the size-dependent analysis of micro laminated composite beams with arbitrary lay-ups. Displacement field is based on a higher-order deformation beam theory and size effect is captured by… read more here.

Keywords: composite beams; theory; couple stress; laminated composite ... See more keywords
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Functionally graded curved Timoshenko microbeams: A numerical study using IGA and modified couple stress theory

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Published in 2020 at "Composite Structures"

DOI: 10.1016/j.compstruct.2020.112841

Abstract: Abstract Studies on functionally graded (FG) curved microbeam structures are rather rare in the literature, and we thus present an effective computational approach on the basic combination of isogeometric analysis (IGA) and modified couple stress… read more here.

Keywords: graded curved; functionally graded; couple stress; iga modified ... See more keywords
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Size-dependent models of 0–1/0–3 polarized PLZT unimorphs and bimorphs based on a modified couple stress theory

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Published in 2019 at "Mechanics Research Communications"

DOI: 10.1016/j.mechrescom.2018.08.015

Abstract: Abstract The constituent equations of both 0–1 and 0–3 polarized PbLaZrTi (PLZT) micro-cantilevers in the form of unimorphs and/or bimorphs are developed. These formulations are based on the modified couple stress theory (MCST), the laminated… read more here.

Keywords: unimorphs bimorphs; theory; couple stress; based modified ... See more keywords
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Size-dependent frequency analysis of the magneto-electro-elastic rotary microdisk by incorporating modified couple stress and higher-order shear deformation theories

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Published in 2021 at "Mechanics Based Design of Structures and Machines"

DOI: 10.1080/15397734.2021.1878904

Abstract: In this research, critical angular velocity and frequency of a magneto-electro-elastic (MEE) rotary microdisk using modified couple stress theory (MCST) is presented. The computational formulations... read more here.

Keywords: electro elastic; frequency; rotary microdisk; couple stress ... See more keywords
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Fractional derivative heat transfer for rotating modified couple stress magneto-thermoelastic medium with two temperatures

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Published in 2020 at "Waves in Random and Complex Media"

DOI: 10.1080/17455030.2020.1828663

Abstract: The present investigation deals with the study of plane waves and the fundamental solution in rotating modified couple stress generalized thermoelastic solid with two-temperatures. The heat conduct... read more here.

Keywords: modified couple; rotating modified; two temperatures; couple stress ... See more keywords