Non-local elasticity theories have been intensively applied to a wide range of problems in physics and applied mechanics such as fracture mechanics, damage mechanics, strain softening materials, dislocation dynamics and nanostructures. Most applications are based either on the integro-differential constitutive law proposed by Eringen or on the gradient constitutive law developed by Aifantis and co-workers. In this work, we study a one-dimensional non-local elastic tensile bar, where Eringen’s and Aifantis’s constitutive laws are used. The problem is solved by means of standard finite elements and B-splines elements with high continuity. The results are compared with the C∞ exact solution of the problem.
Finite element and B-spline methods for one-dimensional nonlocal elasticity
MALAGU', Marcello;BENVENUTI, Elena;
2012
Abstract
Non-local elasticity theories have been intensively applied to a wide range of problems in physics and applied mechanics such as fracture mechanics, damage mechanics, strain softening materials, dislocation dynamics and nanostructures. Most applications are based either on the integro-differential constitutive law proposed by Eringen or on the gradient constitutive law developed by Aifantis and co-workers. In this work, we study a one-dimensional non-local elastic tensile bar, where Eringen’s and Aifantis’s constitutive laws are used. The problem is solved by means of standard finite elements and B-splines elements with high continuity. The results are compared with the C∞ exact solution of the problem.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
