Publications

@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}

}