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Modified couple stress theory

Free vibration analysis of multi-cracked micro beams based on Modified Couple Stress Theory

Free vibration analysis of multi-cracked micro beams based on Modified Couple Stress Theory

... using Modified Couple Stress Theory ...maximum stress and mass and maximizing values of natural frequency and critical buckling ...

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Free Vibration Analysis of Nonuniform Microbeams Based on Modified Couple Stress Theory: an Analytical Solution

Free Vibration Analysis of Nonuniform Microbeams Based on Modified Couple Stress Theory: an Analytical Solution

... elastic theory [19, 20], strain gradient theory [21], modified couple stress theory [22], ...theories, modified coupled stress theory is one of the ...

10

Bending and vibration analysis of delaminated Bernoulli–Euler micro-beams using the modified couple stress theory

Bending and vibration analysis of delaminated Bernoulli–Euler micro-beams using the modified couple stress theory

... Abstract. In this paper, we study static bending and free vibration behaviors of Bernoulli-Euler microbeams with a single delamination using the modied couple stress theory. The delaminated beam is ...

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Free vibration analysis of functionally graded stiffened micro-cylinder based on the modified couple stress theory

Free vibration analysis of functionally graded stiffened micro-cylinder based on the modified couple stress theory

... modied couple stress and rst-order shear deformation ...Modied Couple Stress Theory (MCST) was utilized to capture size eects in micro scales; moreover, the general equa- tions and ...

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A Size-dependent Bernoulli-Euler Beam Formulation based on a New Model of Couple Stress Theory

A Size-dependent Bernoulli-Euler Beam Formulation based on a New Model of Couple Stress Theory

... classical couple stress theory contain four elastic constants, ...the couple stress ...the couple stress ...of couple stress ...of couple ...

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Couple Stress Effect on Micro/Nanocantilever-based Capacitive Gas Sensor

Couple Stress Effect on Micro/Nanocantilever-based Capacitive Gas Sensor

... The couple-stress concept (the theory used for the modeling in this paper) has been presented by Searle ...their couple stress theory in 1909, taking into account not only the ...

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Size Effect on Free Transverse Vibration of Cracked Nano-beams using Couple Stress Theory

Size Effect on Free Transverse Vibration of Cracked Nano-beams using Couple Stress Theory

... classical couple stress theory established by Mindlin et ...proposed modified couple stress theory which contains only one additional length scale ...this theory to ...

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Study of Volumetric Flow Rate of a Micropump Using a Non-classical Elasticity Theory

Study of Volumetric Flow Rate of a Micropump Using a Non-classical Elasticity Theory

... The equation of the dynamic motion is converted to a reduced order model and by applying fourth-order Runge-Kutta method, the results can be integrated over time. Figures 3 and 4 depict the phase portrait and time ...

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An assessment of couple stress theories

An assessment of couple stress theories

... of couple-stress tensor in MTK-CST, Yang et ...of couple-stress material parameters in this theory for linear isotropic elastic material from two coefficients t o only ...the ...

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Analyzing dynamical snap-through of a size dependent nonlinear micro-resonator via a semi-analytic method

Analyzing dynamical snap-through of a size dependent nonlinear micro-resonator via a semi-analytic method

... order theory that takes the size effect into account is the couple-stress theory presented by Koiter [5] and Mindlin and Tiersten ...the couple-stress theory. The ...

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Interaction of Fractional Order Theories in Micropolar Thermoelastic Solid due to Ramp Type Heating

Interaction of Fractional Order Theories in Micropolar Thermoelastic Solid due to Ramp Type Heating

... micropolar theory of elasticity [1] is now well known and does not need much introduction and in this theory, a load across a surface element is transmitted by a force vector along with a couple ...

6

Effect of MHD on Pivoted Curved Slider Bearing Lubricated with Non-Newtonian Fluid

Effect of MHD on Pivoted Curved Slider Bearing Lubricated with Non-Newtonian Fluid

... with couple stress fluid. Based on the Stokes couple stress theory, the modified Reynolds equation is derived which governs the fluid pressure in the flow ...and couple ...

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Magneto Hydrodynamic couple stress Squeeze film lubrication of Rough Annular Plates

Magneto Hydrodynamic couple stress Squeeze film lubrication of Rough Annular Plates

... of couple stress in the presence of transverse magnetic field is significant on the squeeze film characteristics of the ...the theory of fluid by Stokes (1966), is a generalization of couple ...

8

Finite Element Model and Size Dependent Stability Analysis of Boron Nitride and Silicon Carbide Nanowires/Nanotubes

Finite Element Model and Size Dependent Stability Analysis of Boron Nitride and Silicon Carbide Nanowires/Nanotubes

... beam theory (CT), Nonlocal Elasticity Theory (NET), Surface Elas- ticity Theory (SET), Modied Couple Stress Theory (MCST), Modied Strain Gradient Theory (MSGT), nite ...

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Lamb's plane problem in a thermo elastic micropolar medium with stretch

Lamb's plane problem in a thermo elastic micropolar medium with stretch

... The displacement components, force stress, couple stress, vector first moment and the temperature field are determined for the half-space subjected to an arbitrary normal load.. Two spec[r] ...

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Index Terms- Wing box, Spar, Design, Stress Analysis, Design

Index Terms- Wing box, Spar, Design, Stress Analysis, Design

... the stress distribution on each spar. Since stress is distributed unevenly in the model, we should take average stress of each individual element around the maximum stress ...average ...

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The Effects of Post Stenotic Dilatations on the Flow of Couple Stress Fluid through Stenosed Arteries

The Effects of Post Stenotic Dilatations on the Flow of Couple Stress Fluid through Stenosed Arteries

... It is also noticed that velocity is decreases with height of the stenosis and increases with couple stress fluid parameter α (Figure 9 & Figure 10). And velocity is increas- es with height of the post ...

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Peristaltic Transport of a Couple-Stress Fluid with Nanoparticles in an Inclined Tube

Peristaltic Transport of a Couple-Stress Fluid with Nanoparticles in an Inclined Tube

... a couple- stress fluid with heat and mass transfer ...like couple-stress fluid parameters, Brownian motion parameter, thermophoresis parameter, local temperature Grashof number as well as ...

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Chaotic convection in couple stress liquid saturated porous layer‎

Chaotic convection in couple stress liquid saturated porous layer‎

... a couple stress liquid saturated porous layer with soret ef- fect using thermal non-equilibrium ...for couple stress liquid to analyze its chaotic ...of couple stress parameter ...

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Electro osmotic flow of couple stress fluids in a microchannel propagated by peristalsis

Electro osmotic flow of couple stress fluids in a microchannel propagated by peristalsis

... of couple stresses is to introduce a length-dependent effect, which is absent in the classical nonpolar fluid dynamics (Navier-Stokes) ...the couple stress model is that although it introduces extra ...

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