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A review of continuum mechanics models for size-dependent analysis of beams and plates
This paper presents a comprehensive review on the development of higher-order continuum
models for capturing size effects in small-scale structures. The review mainly focus on the …
models for capturing size effects in small-scale structures. The review mainly focus on the …
Nonlocal continuum-based modeling of mechanical characteristics of nanoscopic structures
Insight into the mechanical characteristics of nanoscopic structures is of fundamental interest
and indeed poses a great challenge to the research communities around the world. These …
and indeed poses a great challenge to the research communities around the world. These …
[HTML][HTML] Free vibration and buckling analyses of magneto-electro-elastic FGM nanoplates based on nonlocal modified higher-order sinusoidal shear deformation …
In this study, the free vibration and buckling responses of functionally graded nanoplates
with magneto-electro-elastic coupling are studied for the first time using a nonlocal modified …
with magneto-electro-elastic coupling are studied for the first time using a nonlocal modified …
[HTML][HTML] Bending of Euler–Bernoulli beams using Eringen's integral formulation: a paradox resolved
The Eringen nonlocal theory of elasticity formulated in differential form has been widely used
to address problems in which size effect cannot be disregarded in micro-and nano …
to address problems in which size effect cannot be disregarded in micro-and nano …
[PDF][PDF] A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation
The objective of this work is to present a zeroth-order shear deformation theory for free
vibration analysis of functionally graded (FG) nanoscale plates resting on elastic foundation …
vibration analysis of functionally graded (FG) nanoscale plates resting on elastic foundation …
Microstructure-dependent couple stress theories of functionally graded beams
JN Reddy - Journal of the Mechanics and Physics of Solids, 2011 - Elsevier
A microstructure-dependent nonlinear Euler–Bernoulli and Timoshenko beam theories
which account for through-thickness power-law variation of a two-constituent material are …
which account for through-thickness power-law variation of a two-constituent material are …
Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates
JN Reddy - International Journal of Engineering Science, 2010 - Elsevier
The classical and shear deformation beam and plate theories are reformulated using the
nonlocal differential constitutive relations of Eringen and the von Kármán nonlinear strains …
nonlocal differential constitutive relations of Eringen and the von Kármán nonlinear strains …
Nonlocal third-order shear deformation plate theory with application to bending and vibration of plates
The third-order shear deformation plate theory of Reddy [A simple higher-order theory for
laminated composite plates, J. Appl. Mech. 51 (1984) 745–752] is reformulated using the …
laminated composite plates, J. Appl. Mech. 51 (1984) 745–752] is reformulated using the …
Bending and hygro-thermo-mechanical vibration analysis of a functionally graded porous sandwich nanoshell resting on elastic foundation
This article presents the finite element method (FEM) used four-unknown shear deformation
theory for the static bending and hygro-thermo-mechanical vibration analysis of sandwich …
theory for the static bending and hygro-thermo-mechanical vibration analysis of sandwich …
Dynamic response of porous functionally graded sandwich nanoplates using nonlocal higher-order isogeometric analysis
The main goal of this work is to indicate the dynamic response of sandwich nanoplates with
a porous functionally graded (PFG) core using isogeometric analysis (IGA) based on the …
a porous functionally graded (PFG) core using isogeometric analysis (IGA) based on the …