Thermodynamics of fractional-order nonlocal continua and its application to the thermoelastic response of beams

Geometrically nonlinear analysis of nonlocal plates using fractional calculus

(2020) Sansit Patnaik et al.   INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

Geometrically nonlinear response of a fractional-order nonlocal model of elasticity

(2020) Sai Sidhardh et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

A Ritz-based finite element method for a fractional-order boundary value problem of nonlocal elasticity

(2020) Sansit Patnaik et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Analysis of the Post-Buckling Response of Nonlocal Plates via Fractional Order Continuum Theory

(2020) Sai Sidhardh et al.   JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

Application of fractional order operators to the simulation of ducts with acoustic black hole terminations

(2019) John P. Hollkamp et al.   JOURNAL OF SOUND AND VIBRATION

Inclusion problem for a generalized strain gradient elastic continuum

(2018) Sai Sidhardh et al.   ACTA MECHANICA

Stress-driven modeling of nonlocal thermoelastic behavior of nanobeams

(2018) Raffaele Barretta et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

Exact solutions for elastic response in micro- and nano-beams considering strain gradient elasticity

(2018) Sai Sidhardh et al.   MATHEMATICS AND MECHANICS OF SOLIDS

Analysis of dispersion and propagation properties in a periodic rod using a space-fractional wave equation

(2018) John P. Hollkamp et al.   JOURNAL OF SOUND AND VIBRATION

Constitutive boundary conditions and paradoxes in nonlocal elastic nanobeams

(2017) Giovanni Romano et al.   INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

Using non-local Timoshenko beam theories for prediction of micro- and macro-structural responses

(2016) Jani Romanoff et al.   COMPOSITE STRUCTURES

Nonlocal thermo-mechanical vibration analysis of functionally graded nanobeams in thermal environment

(2015) Farzad Ebrahimi et al.   ACTA ASTRONAUTICA

Fractional Euler–Bernoulli beams: Theory, numerical study and experimental validation

(2015) W. Sumelka et al.   EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

A unified integro-differential nonlocal model

(2015) Parisa Khodabakhshi et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

Nonlocal thermoelasticity theory without energy dissipation for nano-machined beam resonators subjected to various boundary conditions

(2015) Ashraf M. Zenkour   MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS

On nonconservativeness of Eringen’s nonlocal elasticity in beam mechanics: correction from a discrete-based approach

(2014) Noël Challamel et al.   ARCHIVE OF APPLIED MECHANICS

Nonlocal elasticity: an approach based on fractional calculus

(2014) Alberto Carpinteri et al.   MECCANICA

A general nonlocal nonlinear model for buckling of nanobeams

(2013) Samir A. Emam   APPLIED MATHEMATICAL MODELLING

Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes

(2013) Abdelouahed Tounsi et al.   Advances in Nano Research

A model for a constrained, finitely deforming, elastic solid with rotation gradient dependent strain energy, and its specialization to von Kármán plates and beams

(2012) A.R. Srinivasa et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Application of Ritz functions in buckling analysis of embedded orthotropic circular and elliptical micro/nano-plates based on nonlocal elasticity theory

(2012) Amin Anjomshoa   MECCANICA

How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert”

(2012) Francesco dell’Isola et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Mechanisms of nonlocal effect on the vibration of nanoplates

(2011) C. Y. Wang et al.   APPLIED PHYSICS LETTERS

A Fractional Model of Continuum Mechanics

(2011) C. S. Drapaca et al.   JOURNAL OF ELASTICITY

A Review of Nonlinear Aero-Thermo-Elasticity of Functionally Graded Panels

(2011) P. Marzocca et al.   JOURNAL OF THERMAL STRESSES

Fractional heat equation and the second law of thermodynamics

(2011) Luis Vázquez et al.   Fractional Calculus and Applied Analysis

Panel flutter analysis of general laminated composite plates

(2010) M.A. Kouchakzadeh et al.   COMPOSITE STRUCTURES

Variational formulation and finite element analysis for nonlocal elastic nanobeams and nanoplates

(2010) J.K. Phadikar et al.   COMPUTATIONAL MATERIALS SCIENCE

Nonlocal plate model for nonlinear vibration of single layer graphene sheets in thermal environments

(2010) Le Shen et al.   COMPUTATIONAL MATERIALS SCIENCE

Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates

(2010) J.N. Reddy   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory

(2010) J. Yang et al.   PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES

Small scale effect on the buckling of single-layered graphene sheets under biaxial compression via nonlocal continuum mechanics

(2009) S.C. Pradhan et al.   COMPUTATIONAL MATERIALS SCIENCE

Elastic waves propagation in 1D fractional non-local continuum

(2009) Giulio Cottone et al.   PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES

Fractional vector calculus and fractional Maxwell’s equations

(2008) Vasily E. Tarasov   ANNALS OF PHYSICS

Long-range cohesive interactions of non-local continuum faced by fractional calculus

(2008) Mario Di Paola et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

The small length scale effect for a non-local cantilever beam: a paradox solved

(2008) N Challamel et al.   NANOTECHNOLOGY