Nonlocal elasticity theory
STUDIES ON STABILITY BEHAVIOUR OF NANOBARS USING NONLOCAL ELASTICITY THEORY
... Eringen’s nonlocal elasticity ...Beam theory to study the effect of the small- scale parameter on the buckling behaviour of ...Eringen’s nonlocal elasticity ...the nonlocal ...
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A detailed analysis of resonant frequency and sensitivity of flexural modes of an atomic force microscope cantilevers with sidewall probe based on a nonlocal elasticity theory
... beam theory and the stiffness values obtained during bending tests of polypropylene ...gradient theory [18] and [19], couple stress theory [20] and [21], modified couple stress theory [22] and ...
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Buckling Analysis of Axially Functionally Graded Tapered Nanobeams Resting on Elastic Foundations, Based on Nonlocal Elasticity Theory
... Eringen’s nonlocal elasticity theory was used to derive the governing equation of ...the nonlocal scale coefficient, the Winkler modulus parameter, the shear modulus parameter, breadth taper ...
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STUDY ON STABILITY BEHAVIOR OF NANOBEAM WITH AXIAL FORCE USING NONLOCAL ELASTICITY THEORY
... classical theory of elasticity is ...classical theory does not hold good. Hence the Nonlocal elasticity theory which was proposed by Eringen is adopted to account for small scale ...
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Exact analytical approach for free longitudinal vibration of nanorods based on nonlocal elasticity theory from wave standpoint
... In this work, the governing motion equation for longitudinal vibration of nanorods according to the nonlocal elasticity theory will be extracted first. Then, we will apply the wave method to this ...
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Stability study of inhomogeneous porous single-layered nanoplates using nonlocal elasticity theory
... The nonlocal elasticity theory with one nonlocal parameter is developed to examine buckling ...differential nonlocal elastic law and new first order shear deformation theory the ...
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Frequency Shift of Carbon Nanotube Based Mass Sensor Using Nonlocal Elasticity Theory
... using nonlocal elasticity theory, which is a modified classical elasticity ...This theory with long-range interactions is often applied to analyze the vibration behaviour of CNT ...of ...
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STUDY ON DYNAMIC BEHAVIOUR OF NANOBAR USING NONLOCAL ELASTICITY THEORY
... Eringen’s nonlocal elasticity ...beam theory and by introducing Eringen’s nonlocal elasticity ...of nonlocal parameter on the free axial vibrational frequencies of nanobar is ...
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STUDY ON THE DYNAMIC BEHAVIOUR OF NANOBEAM USING NONLOCAL ELASTICITY THEORY
... Eringen’s nonlocal elasticity ...Beam theory has been developed to study the effect of the small- scale parameter on the vibrational ...Eringen’s nonlocal elasticity ...the ...
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Small Scale Effect On Vibration Of Thermally Postbuckled Monolayer Graphene Nanoribbon Based On Nonlocal Elasticity Theory
... Eringen’s nonlocal elasticity theory, effects of size are taken into account by employing a scale parameter and applying it into classical continuum models ...the nonlocal differential ...
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Static Pull-in Analysis of Capacitive FGM Nanocantilevers Subjected to Thermal Moment using Eringen’s Nonlocal Elasticity
... gradient theory [12], modified couple stress theory [13], and nonlocal elasticity theory [14, ...gradient elasticity and modified couple stress, in addition to the classical stress ...
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Element Free Galerkin Method for Static Analysis of Thin Micro/Nanoscale Plates Based on the Nonlocal Plate Theory
... the nonlocal elasticity ...plate theory, Aghababaei and Reddy [10] investigated effect of nonlocal theory on bending and free vibration of simply supported orthotropic rectangular ...
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Nano-Scaled Plate Free Vibration Analysis by Nonlocal Integral Elasticity Theory
... integral elasticity are used to provide the FEM ...local elasticity and nonlocal differential elasticity theory, wherever available in the ...of nonlocal parameter, different ...
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Static analysis of rectangular nanoplates using exponential shear deformation theory based on strain gradient elasticity theory
... gradient elasticity theory, a non-classical higher-order shear deformable plate model containing three material length scale parameters was developed which can effectively capture the size ...gradient ...
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Mean-field description of the structure and tension of curved fluid interfaces
... From a thermodynamic point of view, curvature of the interface can be induced only in two ways: either a fluid (or vapour) is brought off- coexistence (the case of nucleation) or an external potential in the system ...
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Duality in 2+1D quantum elasticity: superconductivity and quantum nematic order
... the theory of stress-photons in the context of 2 + 1D quan- tum elasticity and we will dedicate Sections 4 and 5 to a detailed analysis of this counterintuitive ...field theory describing the ...
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Eigenvalue problems associated with Korn's inequalities in the theory of elasticity
... then uses Korn 1 s inequality in the second case to prove the existence of a solution of the traction boundary-value problem of linear anisotropic elastostatics, and he also treats the m[r] ...
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Biomedical Science and Engineering
... upon theory of adaptive elasticity (accounting and neglecting temperature) and upon energy density theory and showed that after a long time femur at points of our interest: i) will be (quickly or ...
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Elastic Wave Propagation in Composites and Least-squares Damage Localization Technique
... 3-D elasticity theory since approximate plate theories avoid solving time-consuming transcendental ...Plate theory (CPT) based on the Kirchhoff hypotheses have been developed by Reissner and Stavsky ...
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CALCULATION OF STRESSES IN A WATERED LAYER
... [27] Samul’, I. N., (1975), Basic of the theory of elasticity and plasticity. Vyshaya shkola, Moskva, 264 p. [28] Seidle, J., (2011), Fundamentals of Coalbed Methane Reservoir Engineering, PennWell Books, ...
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