Publications

@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}

}