Stress-driven versus strain-driven nonlocal integral model for elastic nano-beams

[1]  A. Cemal Eringen,et al.  Linear theory of nonlocal elasticity and dispersion of plane waves , 1972 .

[2]  A. Eringen.  On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves , 1983 .

[3]  A. Eringen,et al.  Theory of Nonlocal Elasticity and Some Applications , 1984 .

[4]  P. Fuschi,et al.  Closed form solution for a nonlocal elastic bar in tension , 2003 .

[5]  John Peddieson,et al.  Application of nonlocal continuum models to nanotechnology , 2003 .

[6]  C. Wang,et al.  The small length scale effect for a non-local cantilever beam: a paradox solved , 2008, Nanotechnology.

[7]  Andrei D. Polyanin,et al.  Handbook of Integral Equations: Second Edition , 2008 .

[8]  B. Akgöz,et al.  Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory , 2012 .

[9]  Angelo Simone,et al.  One-dimensional nonlocal and gradient elasticity: Closed-form solution and size effect , 2013 .

[10]  H. Sedighi.  Size-dependent dynamic pull-in instability of vibrating electrically actuated microbeams based on the strain gradient elasticity theory , 2014 .

[11]  M. Şi̇mşek.  Large amplitude free vibration of nanobeams with various boundary conditions based on the nonlocal elasticity theory , 2014 .

[12]  Linquan Yao,et al.  Comments on nonlocal effects in nano-cantilever beams , 2015 .

[13]  H. Sedighi,et al.  Dynamic instability analysis of electrostatic functionally graded doubly-clamped nano-actuators , 2015 .

[14]  M. Abadyan,et al.  Modified continuum model for stability analysis of asymmetric FGM double-sided NEMS: Corrections due to finite conductivity, surface energy and nonlocal effect , 2015 .

[15]  J. N. Reddy,et al.  Bending of Euler–Bernoulli beams using Eringen’s integral formulation: A paradox resolved , 2016 .

[16]  Lena Vogler,et al.  Handbook Of Integral Equations , 2016 .

[17]  R. Luciano,et al.  Functionally graded Timoshenko nanobeams: A novel nonlocal gradient formulation , 2016 .

[18]  G. Tsamasphyros,et al.  Nonlocal integral approach to the dynamical response of nanobeams , 2016 .

[19]  C. Wang,et al.  Eringen’s Stress Gradient Model for Bending of Nonlocal Beams , 2016 .

[20]  S. A. Fazelzadeh,et al.  Nonlocal continuum-based modeling of mechanical characteristics of nanoscopic structures , 2016 .

[21]  Raffaele Barretta,et al.  Comment on the paper “Exact solution of Eringen’s nonlocal integral model for bending of Euler–Bernoulli and Timoshenko beams” by Meral Tuna & Mesut Kirca , 2016 .

[22]  H. Dai,et al.  Exact solutions for the static bending of Euler-Bernoulli beams using Eringen’s two-phase local/nonlocal model , 2016 .

[23]  M E Khater,et al.  A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams , 2016 .

[24]  Yujin Hu,et al.  Post-buckling analysis of functionally graded nanobeams incorporating nonlocal stress and microstructure-dependent strain gradient effects , 2017 .

[25]  Raffaele Barretta,et al.  Constitutive boundary conditions and paradoxes in nonlocal elastic nanobeams , 2017 .

[26]  Raffaele Barretta,et al.  Nonlocal elasticity in nanobeams: the stress-driven integral model , 2017 .

[27]  G. Tsamasphyros,et al.  A different approach to Eringen's nonlocal integral stress model with applications for beams , 2017 .