Dynamics of Space-Fractional Euler–Bernoulli and Timoshenko Beams

Formulation and experimental validation of space-fractional Timoshenko beam model with functionally graded materials effects

(2021) Paulina Stempin et al.   COMPUTATIONAL MECHANICS

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

Discrete mass-spring structure identification in nonlocal continuum space-fractional model

(2019) Krzysztof Szajek et al.   European Physical Journal Plus

On selected aspects of space-fractional continuum mechanics model approximation

(2019) Krzysztof Szajek et al.   INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

Static and dynamic behaviour of nonlocal elastic bar using integral strain-based and peridynamic models

(2018) Noël Challamel   COMPTES RENDUS MECANIQUE

Complete mechanical behavior analysis of FG Nano Beam under non-uniform loading using non-local theory

(2018) I Ghaffari et al.   Materials Research Express

The material length scale parameter used in couple stress theories is not a material constant

(2018) Majid Akbarzadeh Khorshidi   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

Fracture mechanics analysis of an anti-plane crack in gradient elastic sandwich composite structures

(2018) Jine Li et al.   International Journal of Mechanics and Materials in Design

On fractional non-local bodies with variable length scale

(2017) Wojciech Sumelka   MECHANICS RESEARCH COMMUNICATIONS

On fractional peridynamic deformations

(2016) A. K. Lazopoulos   ARCHIVE OF APPLIED MECHANICS

Comprehensive and easy-to-use torsion and bending theories for micropolar beams

(2016) Soroosh Hassanpour et al.   INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

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

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

Micro-/nanosized cantilever beams and mass sensors under applied axial tensile/compressive force vibrating in vacuum and viscous fluid

(2015) Ivo Stachiv et al.   AIP Advances

Impact of surface and residual stresses and electro-/magnetostatic axial loading on the suspended nanomechanical based mass sensors: A theoretical study

(2014) Ivo Stachiv   JOURNAL OF APPLIED PHYSICS

Obtaining Eringen׳s length scale coefficient for vibrating nonlocal beams via continualization method

(2014) Zhen Zhang et al.   JOURNAL OF SOUND AND VIBRATION

Thermoelasticity in the Framework of the Fractional Continuum Mechanics

(2014) Wojciech Sumelka   JOURNAL OF THERMAL STRESSES

Prediction of the nonlocal scaling parameter for graphene sheet

(2013) Yingjing Liang et al.   EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

Calibration of Eringen's small length scale coefficient for initially stressed vibrating nonlocal Euler beams based on microstructured beam model

(2013) C M Wang et al.   JOURNAL OF PHYSICS D-APPLIED PHYSICS

Fractional variational calculus with classical and combined Caputo derivatives

(2011) Tatiana Odzijewicz et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Fractional calculus of variations for a combined Caputo derivative

(2011) Agnieszka Malinowska et al.   Fractional Calculus and Applied Analysis

Generalized wave equation in nonlocal elasticity

(2008) T.M. Atanackovic et al.   ACTA MECHANICA

Analysis of micropolar elastic beams

(2008) S. Ramezani et al.   EUROPEAN JOURNAL OF MECHANICS A-SOLIDS