Results 181 to 190 of about 71,780 (248)
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Buckling analysis of micro/nanoscale plates via nonlocal elasticity theory
Physica E: Low-dimensional Systems and Nanostructures, 2011The present study proposes an analytical solution for the buckling analysis of rectangular nanoplates. In order to extract characteristic equations of the micro/nanoscale plate under in-plane load, the analysis procedure is based on the nonlocal Mindlin plate theory considering the small scale effects. The nonlocal Mindlin plate theory allows for small
Shahrokh Hosseini Hashemi +1 more
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Journal of Vibration Engineering & Technologies, 2021
Haonan Li +3 more
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Haonan Li +3 more
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Nonlocal elasticity theory for microstretch circular plate with mechanical source
Mechanics of Advanced Materials and Structures, 2017ABSTRACTIn the present manuscript, the eigenvalue approach is used for the two-dimensional problem of nonlocal microstretch circular plate subjected to mechanical source. The Laplace and Hankel transforms are applied to solve the problem. The inversion of the Laplace and Hankel transforms are carried out using the inversion formula of the transforms ...
R. Kumar, R. Rani, A. Miglani
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Theory of Nonlocal Elasticity and Some Applications
1984Abstract : Constitutive equations of finite nonlocal elasticity are obtained. Thermodynamic restriction are studied. The linear theory is given for anisotropic and isotropic solids. The physical and mathematical properties of the nonlocal elastic moduli are explored through lattice dynamics and dispersive wave propagations. The theory is applied to the
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Nonlocal theory of elastic interaction between point defects
physica status solidi (b), 1978AbstractA weakly nonlocal version of the nonlocal continuum theory is used to calculate the interaction energy between a pair of identical defects in a face‐centred cubic lattice when the defect spacing is large. The lattice is assumed to be the same that was considered by Hardy and Bullough, namely, an idealized harmonic f.c.c.
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Contribution of nonlocal integral elasticity to modified strain gradient theory
The European Physical Journal Plus, 2021The nonlocal integral elasticity and the modified strain gradient theory are consistently integrated in the framework of the nonlocal modified gradient theory of elasticity. The equivalent differential formulation of the constitutive law, equipped with appropriate nonstandard boundary conditions, is introduced.
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On some theorems in the nonlocal theory of micropolar elasticity
International Journal of Solids and Structures, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Jun, Dhaliwal, Ranjit S.
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On the nonlocal theory of quasi-static elastic dielectrics
International Journal of Engineering Science, 1972Abstract The nonlocal theory of polar elastic dielectrics that is in interaction with quasi-static electric field is developed, and various special cases are discussed. For the illustration of the theory, the solution of a sample problem is given.
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Pull-in instability of nano-switches using nonlocal elasticity theory
Journal of Physics D: Applied Physics, 2008This paper investigates the pull-in instability of nano-switches subjected to an electrostatic force due to an applied voltage and intermolecular force within the framework of nonlocal elasticity theory to account for the small scale effect. Both the nonlinear governing equation and boundary conditions with nonlocal effect are derived.
Yang, J., Jia, X. L., Kitipornchai, S.
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