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length scale parameter
Description:
A characteristic length used in continuum and molecular models to represent material behavior at small scales, including nonlocal and size-dependent effects.
Primary topic:
Nonlocal and gradient elasticity in micro/nano structures (72%)
Related topics:
Nonlocal and gradient elasticity in micro/nano structures (72%),
Numerical methods in engineering (10%)
OpenAlex ID:
keywords/length-scale-parameter
Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies
2018
·
Shuwei Zhou
, Timon Rabczuk
, et al.
·
Advances in Engineering Software
·
450
PDF
Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory
2012
·
M. Şimşek
, H.H. Yurtcu
·
Composite Structures
·
373
A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates
2016
·
Farzad Ebrahimi
, Mohammad Reza Barati
, et al.
·
International Journal of Engineering Science
·
326
Free vibration analysis of size-dependent functionally graded microbeams based on the strain gradient Timoshenko beam theory
2011
·
R. Ansari
, R. Gholami
, et al.
·
Composite Structures
·
319
Nonlinear behaviour of electrically actuated MEMS resonators
2013
·
Mergen H. Ghayesh
, Hamed Farokhi
, et al.
·
International Journal of Engineering Science
·
267
The size-dependent vibration analysis of micro-plates based on a modified couple stress theory
2010
·
E. Jomehzadeh
, H.R. Noori
, et al.
·
Physica E Low-dimensional Systems and Nanostructures
·
266
Modeling dynamic fracture of solids with a phase-field regularized cohesive zone model
2018
·
Vinh Phu Nguyen
, Jian-Ying Wu
·
Computer Methods in Applied Mechanics and Engineering
·
252
Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position
2015
·
K.S. Al-Basyouni
, Abdelouahed Tounsi
, et al.
·
Composite Structures
·
242
Free vibration analysis of size-dependent shear deformable functionally graded cylindrical shell on the basis of modified couple stress theory
2014
·
Yaghoub Tadi Beni
, Fahimeh Mehralian
, et al.
·
Composite Structures
·
235
Three-dimensional nonlinear size-dependent behaviour of Timoshenko microbeams
2013
·
Mergen H. Ghayesh
, Marco Amabili
, et al.
·
International Journal of Engineering Science
·
220
Longitudinal vibration analysis for microbars based on strain gradient elasticity theory
2012
·
Bekir Akgöz
, Ömer Civalek
·
Journal of Vibration and Control
·
215
On viscoelastic transient response of magnetically imperfect functionally graded nanobeams
2022
·
M.H. Jalaei
, H-T. Thai
, et al.
·
International Journal of Engineering Science
·
202
Length scale and mesh bias sensitivity of phase-field models for brittle and cohesive fracture
2019
·
Tushar Kanti Mandal
, Vinh Phu Nguyen
, et al.
·
Engineering Fracture Mechanics
·
202
Crack tip fields in strain gradient plasticity
1996
·
Z.Cedric Xia
, John W. Hutchinson
·
Journal of the Mechanics and Physics of Solids
·
196
Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect
2015
·
Fouzia Larbi Chaht
, Abdelhakim Kaci
, et al.
·
Steel and Composite Structures
·
189
PDF
Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: Applications to sandwich beams and auxetics
2018
·
Sergei Khakalo
, Viacheslav Balobanov
, et al.
·
International Journal of Engineering Science
·
187
PDF
A strain gradient functionally graded Euler–Bernoulli beam formulation
2011
·
M.H. Kahrobaiyan
, M. Rahaeifard
, et al.
·
International Journal of Engineering Science
·
177
Size-dependent bending analysis of Kirchhoff nano-plates based on a modified couple-stress theory including surface effects
2013
·
M. Shaat
, F.F. Mahmoud
, et al.
·
International Journal of Mechanical Sciences
·
172
A nonlocal strain gradient refined beam model for buckling analysis of size-dependent shear-deformable curved FG nanobeams
2016
·
Farzad Ebrahimi
, Mohammad Reza Barati
·
Composite Structures
·
168
Effects of thermal and shear deformation on vibration response of functionally graded thick composite microbeams
2017
·
Bekir Akgöz
, Ömer Civalek
·
Composites Part B Engineering
·
167
Size-dependent performance of microgyroscopes
2015
·
Mergen H. Ghayesh
, Hamed Farokhi
, et al.
·
International Journal of Engineering Science
·
167
A phase-field regularized cohesive zone model for hydrogen assisted cracking
2019
·
Jian-Ying Wu
, Tushar Kanti Mandal
, et al.
·
Computer Methods in Applied Mechanics and Engineering
·
163
A mechanical response of functionally graded nanoscale beam: an assessment of a refined nonlocal shear deformation theory beam theory
2015
·
Amine Zemri
, Mohammed Sid Ahmed Houari
, et al.
·
STRUCTURAL ENGINEERING AND MECHANICS
·
163
Quantitative characterization of spatial clustering in three-dimensional microstructures using two-point correlation functions
2003
·
A Tewari
, A.M Gokhale
, et al.
·
Acta Materialia
·
160
Static bending of a functionally graded microscale Timoshenko beam based on the modified couple stress theory
2012
·
M. Şimşek
, T. Kocatürk
, et al.
·
Composite Structures
·
151
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Works count:
918
Citation count:
24,510
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