List of Journal Publications
2015
3.
Malagù, Marcello, Benvenuti, Elena, Simone, A.
One-dimensional nonlocal elasticity for tensile single-walled carbon nanotubes: A molecular structural mechanics characterization Journal Article
In: EUROPEAN JOURNAL OF MECHANICS. A, SOLIDS, vol. 54, pp. 160–170, 2015.
Abstract | BibTeX | Tags: Molecular structural mechanics, Nonlocal elasticity, Parameter estimation, Single-walled carbon nanotubes | Links:
@article{Malagu2015,
title = {One-dimensional nonlocal elasticity for tensile single-walled carbon nanotubes: A molecular structural mechanics characterization},
author = {Marcello Malagù and Elena Benvenuti and A. Simone},
doi = {10.1016/j.euromechsol.2015.06.009},
year = {2015},
date = {2015-01-01},
journal = {EUROPEAN JOURNAL OF MECHANICS. A, SOLIDS},
volume = {54},
pages = {160–170},
publisher = {Elsevier Ltd},
abstract = {The parameters required for modeling tensile single-walled carbon nanotubes (SWCNTs) with a nonlocal rod model are estimated. Molecular structural mechanics (MSM) simulations are carried out for the mechanical analysis of SWCNTs with different diameter, length and chirality. Representative axial strain fields are then used in a parameter estimation procedure as reference solutions to tailor a nonlocal rod model. Obtained nonlocal parameters are further validated by comparing the total strain energy of MSM reference solutions and corresponding nonlocal rod solutions. The effect of size and chirality on the optimal value of the estimated parameters is discussed in details. Analytical relations between nonlocal parameters and geometry of the SWCNTs are obtained.},
keywords = {Molecular structural mechanics, Nonlocal elasticity, Parameter estimation, Single-walled carbon nanotubes},
pubstate = {published},
tppubtype = {article}
}
The parameters required for modeling tensile single-walled carbon nanotubes (SWCNTs) with a nonlocal rod model are estimated. Molecular structural mechanics (MSM) simulations are carried out for the mechanical analysis of SWCNTs with different diameter, length and chirality. Representative axial strain fields are then used in a parameter estimation procedure as reference solutions to tailor a nonlocal rod model. Obtained nonlocal parameters are further validated by comparing the total strain energy of MSM reference solutions and corresponding nonlocal rod solutions. The effect of size and chirality on the optimal value of the estimated parameters is discussed in details. Analytical relations between nonlocal parameters and geometry of the SWCNTs are obtained.
2014
2.
Malagù, M., Benvenuti, E., Duarte, C. A., Simone, A.
One-dimensional nonlocal and gradient elasticity: Assessment of high order approximation schemes Journal Article
In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol. 275, pp. 138–158, 2014.
Abstract | BibTeX | Tags: B-splines, FEM, Nonlocal elasticity, Strain gradient elasticity | Links:
@article{Malagu2014,
title = {One-dimensional nonlocal and gradient elasticity: Assessment of high order approximation schemes},
author = {M. Malagù and E. Benvenuti and C. A. Duarte and A. Simone},
doi = {10.1016/j.cma.2014.02.015},
year = {2014},
date = {2014-01-01},
journal = {COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING},
volume = {275},
pages = {138–158},
publisher = {Elsevier},
abstract = {We investigate the application and performance of high-order approximation techniques to one-dimensional nonlocal elastic rods. Governing equations and corresponding discrete forms are derived for the integro-differential formulation proposed by Eringen and the laplacian-based strain gradient formulation developed by Aifantis and coworkers. Accuracy and convergence rate of the numerical solutions obtained with Lagrange, Hermite, B-spline finite elements and C∞ generalized finite elements are assessed against the corresponding analytical solutions.},
keywords = {B-splines, FEM, Nonlocal elasticity, Strain gradient elasticity},
pubstate = {published},
tppubtype = {article}
}
We investigate the application and performance of high-order approximation techniques to one-dimensional nonlocal elastic rods. Governing equations and corresponding discrete forms are derived for the integro-differential formulation proposed by Eringen and the laplacian-based strain gradient formulation developed by Aifantis and coworkers. Accuracy and convergence rate of the numerical solutions obtained with Lagrange, Hermite, B-spline finite elements and C∞ generalized finite elements are assessed against the corresponding analytical solutions.
2013
1.
Benvenuti, E., Simone, A.
One-dimensional nonlocal and gradient elasticity: Closed-form solution and size effect Journal Article
In: MECHANICS RESEARCH COMMUNICATIONS, vol. 48, pp. 46–51, 2013.
Abstract | BibTeX | Tags: Closed-form solutions, Gradient elasticity, Nonlocal elasticity, Size effect | Links:
@article{Benvenuti2013,
title = {One-dimensional nonlocal and gradient elasticity: Closed-form solution and size effect},
author = {E. Benvenuti and A. Simone},
doi = {10.1016/j.mechrescom.2012.12.001},
year = {2013},
date = {2013-01-01},
journal = {MECHANICS RESEARCH COMMUNICATIONS},
volume = {48},
pages = {46–51},
publisher = {PERGAMON-ELSEVIER SCIENCE LTD},
abstract = {The equivalence between nonlocal and gradient elasticity models is investigated by making reference to one-dimensional boundary value problems equipped with two integral stress-strain laws proposed by Eringen (Nonlocal Continuum Field Theories (2002)). Corresponding closed-form solutions are derived through a procedure for the reduction of integral to differential equations. The reproduction of size effects in micro/nano rods is discussed. The differential formulation associated with the local/nonlocal model is shown to correspond to the strain-gradient formulation proposed by Aifantis (Mech. Mater. 35 (2003) 259-280).},
keywords = {Closed-form solutions, Gradient elasticity, Nonlocal elasticity, Size effect},
pubstate = {published},
tppubtype = {article}
}
The equivalence between nonlocal and gradient elasticity models is investigated by making reference to one-dimensional boundary value problems equipped with two integral stress-strain laws proposed by Eringen (Nonlocal Continuum Field Theories (2002)). Corresponding closed-form solutions are derived through a procedure for the reduction of integral to differential equations. The reproduction of size effects in micro/nano rods is discussed. The differential formulation associated with the local/nonlocal model is shown to correspond to the strain-gradient formulation proposed by Aifantis (Mech. Mater. 35 (2003) 259-280).
