Related references
Note: Only part of the references are listed.Nonstandard continualization of 1D lattice with next-nearest interactions. Low order ODEs and enhanced prediction of the dispersive behavior
F. Gomez-Silva et al.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2022)
Displacement-driven approach to nonlocal elasticity
Sansit Patnaik et al.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2022)
Verification of asymptotic homogenization method developed for periodic architected materials in strain gradient continuum
Hua Yang et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2022)
Gradient of mechanical properties in polymer nanocomposites: From atomistic scale to the strain gradient effective continuum
Hilal Reda et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2022)
Strain gradient elasticity theory of polymer networks
Yiyuan Jiang et al.
ACTA MECHANICA (2022)
A nonlocality-based homogenization method for dynamics of metamaterials
Chaosheng Mei et al.
COMPOSITE STRUCTURES (2022)
Towards a unified approach to nonlocal elasticity via fractional-order mechanics
Sansit Patnaik et al.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2021)
A generalized integro-differential theory of nonlocal elasticity of n-Helmholtz type: part I-analytical formulation and thermodynamic framework
Dario De Domenico et al.
MECCANICA (2021)
Extended stress gradient elastodynamics: Wave dispersion and micro-macro identification of parameters
Logan Schwan et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2021)
A generalized integro-differential theory of nonlocal elasticity of n-Helmholtz type-part II: boundary-value problems in the one-dimensional case
Dario De Domenico et al.
MECCANICA (2021)
Strain-gradient homogenization: A bridge between the asymptotic expansion and quadratic boundary condition methods
Vincent Monchiet et al.
MECHANICS OF MATERIALS (2020)
Review on nonlocal continuum mechanics: Physics, material applicability, and mathematics
Mohamed Shaat et al.
MECHANICS OF MATERIALS (2020)
Gradient elasticity and dispersive wave propagation: Model motivation and length scale identification procedures in concrete and composite laminates
Dario De Domenico et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2019)
On the validity range of strain-gradient elasticity: A mixed static-dynamic identification procedure
Giuseppe Rosi et al.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2018)
Form II of Mindlin's second strain gradient theory of elasticity with a simplification: For materials and structures from nano- to macro-scales
Sergei Khakalo et al.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2018)
Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: Applications to sandwich beams and auxetics
Sergei Khakalo et al.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2018)
Strain gradient elasticity and size effects in the bending of fiber composite plates
Theodore V. Gortsas et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2018)
Homogenized Gradient Elasticity Model for Plane Wave Propagation in Bilaminate Composites
Swee Hong Tan et al.
JOURNAL OF ENGINEERING MECHANICS (2018)
Homogenized Gradient Elasticity Model for Plane Wave Propagation in Bilaminate Composites
Swee Hong Tan et al.
JOURNAL OF ENGINEERING MECHANICS (2018)
STRAIN GRADIENT AND GENERALIZED CONTINUA OBTAINED BY HOMOGENIZING FRAME LATTICES
Houssam Abdoul-Anziz et al.
MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS (2018)
A hierarchy of simplified constitutive models within isotropic strain gradient elasticity
Castrenze Polizzotto
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2017)
A different approach to Eringen's nonlocal integral stress model with applications for beams
C. Chr. Koutsoumaris et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2017)
Concrete wave dispersion interpretation through Mindlin's strain gradient elastic theory
Sokratis N. Iliopoulos et al.
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA (2017)
Leading-order nonlocal kinetic energy in peridynamics for consistent energetics and wave dispersion
Kaushik Dayal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2017)
Bending of Euler-Bernoulli beams using Eringen's integral formulation: A paradox resolved
J. Fernandez-Saez et al.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2016)
Wave dispersion in fresh and hardened concrete through the prism of gradient elasticity
Sokratis N. Iliopoulos et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2016)
Mindlin's Micro-structural and Gradient Elasticity Theories and Their Thermodynamics
C. Broese et al.
JOURNAL OF ELASTICITY (2016)
Surface elasticity revisited in the context of second strain gradient theory
Farzaneh Ojaghnezhad et al.
MECHANICS OF MATERIALS (2016)
Torsional vibrations of a column of fine-grained material: A gradient elastic approach
D. Polyzos et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2015)
A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
C. W. Lim et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2015)
On nonconservativeness of Eringen's nonlocal elasticity in beam mechanics: correction from a discrete-based approach
Noel Challamel et al.
ARCHIVE OF APPLIED MECHANICS (2014)
A method to transform a nonlocal model into a gradient one within elasticity and plasticity
Guido Borino et al.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2014)
Stress gradient versus strain gradient constitutive models within elasticity
Castrenze Polizzotto
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2014)
Nonlocal elasticity defined by Eringen's integral model: Introduction of a boundary layer method
R. Abdollahi et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2014)
A second strain gradient elasticity theory with second velocity gradient inertia - Part II: Dynamic behavior
Castrenze Polizzotto
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2013)
A second strain gradient elasticity theory with second velocity gradient inertia - Part I: Constitutive equations and quasi-static behavior
Castrenze Polizzotto
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2013)
A physical perspective of the length scales in gradient elasticity through the prism of wave dispersion
Egor V. Dontsov et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2013)
Mindlin second-gradient elastic properties from dilute two-phase Cauchy-elastic composites. Part I: Closed form expression for the effective higher-order constitutive tensor
M. Bacca et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2013)
Geometrically nonlinear higher-gradient elasticity with energetic boundaries
A. Javili et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2013)
Derivation of strain gradient length via homogenization of heterogeneous elastic materials
Antonios Triantafyllou et al.
MECHANICS OF MATERIALS (2013)
On the reflection of waves in half-spaces of microstructured materials governed by dipolar gradient elasticity
P. A. Gourgiotis et al.
WAVE MOTION (2013)
On the capability of generalized continuum theories to capture dispersion characteristics at the atomic scale
D. A. Fafalis et al.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2012)
Derivation of Mindlin's first and second strain gradient elastic theory via simple lattice and continuum models
D. Polyzos et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2012)
Stress gradient continuum theory
Samuel Forest et al.
MECHANICS RESEARCH COMMUNICATIONS (2012)
Waves in microstructured solids: a unified viewpoint of modeling
Arkadi Berezovski et al.
ACTA MECHANICA (2011)
The effects of the interphase and strain gradients on the elasticity of layer by layer (LBL) polymer/clay nanocomposites
Yaning Li et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2011)
Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results
Harm Askes et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2011)
A numerical study on the propagation of Rayleigh and guided waves in cortical bone according to Mindlin's Form II gradient elastic theory
Alexios Papacharalampopoulos et al.
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA (2011)
Generalized continua and non-homogeneous boundary conditions in homogenisation methods [Plenary lecture presented at the 81st Annual GAMM Conference, Karlsruhe, 25 March 2010]
Samuel Forest et al.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2011)
Strain gradient elastic homogenization of bidimensional cellular media
N. Auffray et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2010)
Improved Continuous Models for Discrete Media
I. V. Andrianov et al.
MATHEMATICAL PROBLEMS IN ENGINEERING (2010)
Wave dispersion in gradient elastic solids and structures: A unified treatment
S. Papargyri-Beskou et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2009)
Velocity dispersion of guided waves propagating in a free gradient elastic plate: Application to cortical bone
Maria G. Vavva et al.
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA (2009)
Asymptotic equivalence of homogenisation procedures and fine-tuning of continuum theories
A. V. Pichugin et al.
JOURNAL OF SOUND AND VIBRATION (2008)
Size effects in two-dimensional Voronoi foams: A comparison between generalized continua and discrete models
Cihan Tekoglu et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2008)
The small length scale effect for a non-local cantilever beam: a paradox solved
N. Challamel et al.
NANOTECHNOLOGY (2008)
On causality of the gradient elasticity models
A. V. Metrikine
JOURNAL OF SOUND AND VIBRATION (2006)
Dislocations in second strain gradient elasticity
M Lazar et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2006)
Transient dynamic analysis of 3-D gradient elastic solids by BEM
D Polyzos et al.
COMPUTERS & STRUCTURES (2005)
Computational Evaluation of Strain Gradient Elasticity Constants
R. H. J. Peerlings et al.
INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING (2004)
Dispersive Rayleigh-wave propagation in microstructured solids characterized by dipolar gradient elasticity
HG Georgiadis et al.
JOURNAL OF ELASTICITY (2004)
Static and harmonic BEM solutions of gradient elasticity problems with axisymmetry
KG Tsepoura et al.
COMPUTATIONAL MECHANICS (2003)
Dynamic analysis of gradient elastic flexural beams
S Papargyri-Beskou et al.
STRUCTURAL ENGINEERING AND MECHANICS (2003)
Examining the physical foundation of continuum theories from the viewpoint of phonon dispersion relation
YP Chen et al.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2003)
Static and dynamic analysis of a gradient-elastic bar in tension
KG Tsepoura et al.
ARCHIVE OF APPLIED MECHANICS (2002)
Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme
V Kouznetsova et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2002)
One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure Part 1: Generic formulation
AV Metrikine et al.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2002)
Non-local dispersive model for wave propagation in heterogeneous media: one-dimensional case
J Fish et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2002)
Microstructure in linear elasticity and scale effects: a reconsideration of basic rock mechanics and rock fracture mechanics
GE Exadaktylos et al.
TECTONOPHYSICS (2001)
Reformulation of elasticity theory for discontinuities and long-range forces
SA Silling
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2000)
Share Paper
