Journal ArticleDOI
Surface effects on nonlinear vibration of embedded functionally graded nanoplates via higher order shear deformation plate theory
Farzad Ebrahimi,Ebrahim Heidari +1 more
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In this paper, the free vibration behavior of functionally nanoplate resting on a Pasternak linear elastic foundation is investigated based on third-order shear deformation plate theory w.r.t.Abstract:
In this paper, free vibration behavior of functionally nanoplate resting on a Pasternak linear elastic foundation is investigated. The study is based on third-order shear deformation plate theory w...read more
Citations
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A review on the mechanics of functionally graded nanoscale and microscale structures
Mergen H. Ghayesh,Ali Farajpour +1 more
TL;DR: In this article, a review of the mechanical properties of functionally graded nanoscale and micro-scale structures is presented, where various scale-dependent theories of elasticity for FG nanostructures such as FG nanobeams and nanoplates are explained.
Journal ArticleDOI
A review on the mechanics of nanostructures
TL;DR: In this paper, the nonlocal elasticity and nonlocal strain gradient elasticity have been employed to estimate the mechanical behavior of nanostructures, and the results of size-dependent wave propagation analyses are discussed.
Journal ArticleDOI
A Review of Available Theories and Methodologies for the Analysis of Nano Isotropic, Nano Functionally Graded, and CNT Reinforced Nanocomposite Structures
Aman Garg,Aman Garg,H. D. Chalak,Ashraf M. Zenkour,Ashraf M. Zenkour,Mohamed-Ouejdi Belarbi,Mohammed-Sid-Ahmed Houari +6 more
TL;DR: A review of available theories and methodologies adopted by various researchers is highlighted and presented in tabulated form in this paper, where size-dependent and sizeindependent theories are also discussed in detail.
Journal ArticleDOI
Buckling analysis of skew magneto-electro-thermo-elastic nanoplates considering surface energy layers and utilizing the Galerkin method
Morteza Karimi,Ali Reza Shahidi +1 more
TL;DR: In this paper, the buckling analysis of skew magneto-electro-thermo-elastic (METE) nanoplates is carried out by the surface layers and nonlocal small-scale hypotheses.
Journal ArticleDOI
Dynamic analysis of bi-directional functionally graded Timoshenko nanobeam on the basis of Eringen's nonlocal theory incorporating the surface effect
Roshan Lal,Chinika Dangi +1 more
TL;DR: The study reveals that the consideration of surface and nonlocal effects in predicting the vibration characteristics of bi-directional functionally graded shear deformable nanobeam plays an important role and can't be ignored in the analysis.
References
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Average stress in matrix and average elastic energy of materials with misfitting inclusions
Trevor A. Mori,K Tanaka +1 more
TL;DR: In this paper, a method of calculating the average internal stress in the matrix of a material containing inclusions with transformation strain is presented. But the authors do not consider the effects of the interaction among the inclusions and of the presence of the free boundary.
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On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
TL;DR: In this article, the integropartial differential equations of the linear theory of nonlocal elasticity are reduced to singular partial differential equations for a special class of physically admissible kernels.
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A self-consistent mechanics of composite materials
TL;DR: In this article, the elastic moduli of two-phase composites are estimated by a method that takes account of the inhomogeneity of stress and strain in a way similar to the Hershey-Kroner theory of crystalline aggregates.
Journal ArticleDOI
A continuum theory of elastic material surfaces
TL;DR: In this paper, a mathematical framework is developed to study the mechanical behavior of material surfaces, and the tensorial nature of surface stress is established using the force and moment balance laws using a linear theory with non-vanishing residual stress.
Journal ArticleDOI
A new approach to the application of Mori-Tanaka's theory in composite materials
TL;DR: In this paper, a reconsideration and reformulation of the Mori-Tanaka's theory in its application to the computation of the effective properties of composites is presented, which is a straightforward exposition and interpretation of the method which are different than those existing in previous formulations.
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