Couple stress theory of curved rods. 2-D, high order, Timoshenko’s and Euler-Bernoulli models
Curved and Layered Structures, 2017 New models for plane curved rods based on linear couple stress theory of elasticity have been developed.2-D theory is developed from general 2-D equations of linear couple stress elasticity using a special curvilinear system of coordinates related to the
Zozulya V.V.
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Compressible Analysis of Bénard Convection of Magneto Rotatory Couple-Stress Fluid [PDF]
International Journal of Applied Mechanics and Engineering, 2018 Thermal Instability (Benard’s Convection) in the presence of uniform rotation and uniform magnetic field (separately) is studied. Using the linearized stability theory and normal mode analyses the dispersion relation is obtained in each case. In the case
C.B. Mehta, M. Singh
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The Effect of the Magnetic Field on the Rayleigh-Taylor Instability in a Couple-Stress Fluid [PDF]
International Journal of Applied Mechanics and Engineering, 2018 In this study we examine the effect of the magnetic field parameter on the growth rate of the Rayleigh-Taylor instability (RTI) in a couple stress fluids.
K.B. Chavaraddi +3 more
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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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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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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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On the characterisation of polar fibrous composites when fibres resist bending – Part III: The spherical part of the couple-stress [PDF]
, 2020 Part II (Soldatos 2018b) identified some theoretical disagreement between the generally anisotropic polar linear elasticity of Mindlin and Tiersten (1962) and its counterpart developed in (Spencer and Soldatos, 2007; Soldatos, 2014) for fibrous ...
Soldatos, K. P.
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A size-dependent functionally graded sinusoidal plate model based on a modified couple stress theory [PDF]
, 2013 A size-dependent model for bending and free vibration of functionally graded plate is developed based on the modified couple stress theory and sinusoidal shear deformation theory.
Thai, Huu-Tai, Vo, Thuc
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An approach based on distributed dislocations and disclinations for crack problems in couple-stress elasticity [PDF]
, 2008 The technique of distributed dislocations proved to be in the past an effective approach in studying crack problems within classical elasticity. The present work is intended to extend this technique in studying crack problems within couple-stress ...
Gourgiotis, P.A. +5 more
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