Modified couple stress-based third-order theory for nonlinear analysis of functionally graded beams
Latin American Journal of Solids and StructuresA microstructure-dependent nonlinear third-order beam theory which accounts for through-thickness power-law variation of a two-constituent material is developed using Hamilton's principle.
A. Arbind, J.N. Reddy, A. R. Srinivasa
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The vibration of nanobeam resting on elastic foundation using modified couple stress theory [PDF]
Tehnički Glasnik, 2018 In this paper, the vibration of nanobeams resting on the Winkler foundation is proposed using the modified couple stress theory. Hamilton’s principle is utilized to construct the governing equations.
Necla Togun, Süleyman M. Bağdatli
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Archive of Applied Mechanics, 2018 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 approaches the microstructural length scale. The size effect can be circumvented by higher-order
Murat Kandaz, Hüsnü Dal
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A new Kirchhoff plate model based on a modified couple stress theory [PDF]
International Journal of Solids and Structures, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tsiatas, GC, Tsiatas, G.C.
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Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory [PDF]
Shock and Vibration, 2017 A novel electric Gibbs function was proposed for the piezoelectric microbeams (PMBs) by employing a modified couple stress theory. Based on the new Gibbs function and the Euler-Bernoulli beam theory, the governing equations which incorporate the effects ...
Xingjia Li, Ying Luo
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Vibration Analysis of a Postbuckled Microscale FG Beam Based on Modified Couple Stress Theory
Shock and Vibration, 2014 On the basis of modified couple stress theory, the postbuckling behavior of the Euler-Bernoulli microscale FG beams is investigated by means of an exact solution method.
R. Ansari +3 more
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Finite deformations of fibre-reinforced elastic solids with fibre bending stiffness – Part II: determination of the spherical part of the couple-stress [PDF]
, 2023 The indeterminacy of the spherical part of couple-stress is a well-known drawback of any theoretical formulation stemming from the Cosserat couple-stress theory of elasticity.
Soldatos, K. P.
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Determination of the Spherical Couple-Stress in Polar Linear Isotropic Elasticity [PDF]
, 2023 It is well known that the conventional couple-stress theory leaves the spherical part of the couple-stress indeterminate. This indeterminacy problem is recently resolved for fibrous composites subjected to either small or large deformations and ...
Soldatos, K. P.
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Correction to: A comparative study of modified strain gradient theory and modified couple stress theory for gold microbeams [PDF]
Archive of Applied Mechanics, 2019 This is an erratum to the previously published version due to systematical errors in figures. Only the legends and axes names of the Figs.
Murat Kandaz, Hüsnü Dal
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Determination of the spherical part of the couple-stress in a polar fibre-reinforced elastic plate subjected to pure bending [PDF]
, 2021 This communication provides initial information and understanding of the manner in which a newly developed theoretical mechanism (Soldatos in Int J Solids Struct 202:217–225, 2020) is applied in specific boundary value problems met in polar linear ...
Soldatos, K. P.
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