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.
2012
9783950248197
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/1690755
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