Modelling flexural wave propagation by the nonlocal strain gradient elasticity with fractional derivatives

Dynamic Mechanical Properties of Soil Based on Fractional-Order Differential Theory

(2019) Qingzhe Zhang et al.   Soil Mechanics and Foundation Engineering

On fractional and fractal formulations of gradient linear and nonlinear elasticity

(2019) Vasily E. Tarasov et al.   ACTA MECHANICA

A non-local fractional stress–strain gradient theory

(2019) Zaher Rahimi et al.   International Journal of Mechanics and Materials in Design

Three-dimensional nonlocal anisotropic elasticity: a generalized continuum theory of Ångström-mechanics

(2019) Markus Lazar et al.   ACTA MECHANICA

A simple shear deformation theory for nonlocal beams

(2018) Son Thai et al.   COMPOSITE STRUCTURES

The atomistic representation of first strain-gradient elastic tensors

(2017) Nikhil Chandra Admal et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Non-standard extensions of gradient elasticity: Fractional non-locality, memory and fractality

(2015) Vasily E. Tarasov et al.   Communications in Nonlinear Science and Numerical Simulation

A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation

(2015) C.W. Lim et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

On the fractional generalization of Eringenʼs nonlocal elasticity for wave propagation

(2013) Noël Challamel et al.   COMPTES RENDUS MECANIQUE

On the capability of generalized continuum theories to capture dispersion characteristics at the atomic scale

(2012) D.A. Fafalis et al.   EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

Various gradient elasticity theories in predicting vibrational response of single-walled carbon nanotubes with arbitrary boundary conditions

(2012) R Ansari et al.   JOURNAL OF VIBRATION AND CONTROL

On the reflection of waves in half-spaces of microstructured materials governed by dipolar gradient elasticity

(2012) P.A. Gourgiotis et al.   WAVE MOTION

A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes

(2011) B. Arash et al.   COMPUTATIONAL MATERIALS SCIENCE

A fractional calculus approach to nonlocal elasticity

(2011) A. Carpinteri et al.   European Physical Journal-Special Topics

Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results

(2011) Harm Askes et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

A dispersive wave equation using nonlocal elasticity

(2009) Noël Challamel et al.   COMPTES RENDUS MECANIQUE

Gradient elasticity and flexural wave dispersion in carbon nanotubes

(2009) Harm Askes et al.   PHYSICAL REVIEW B

Flexural Wave Propagation in Single-Walled Carbon Nanotubes

(2008) K. M. Liew et al.   Journal of Computational and Theoretical Nanoscience