In this paper the Finite Element Method (FEM) for the mechanically-based non-local elastic continuum model is proposed. In such a model non-adjacent elements are considered mutually interacting by means of central body forces that are monotonically decreasing with their interdistance and proportional to the product of the interacting volume elements. The resulting governing equation is an integro-differential one and for such a model both kinematical and mechanical boundary conditions are exactly coincident with the classical boundary conditions of the continuum mechanics. The solution of the integro-differential problem is framed in the paper by the finite element method. Finally, the solution obtained in the context of FEM is compared with finite difference method (FDM).

Di Paola, M., Failla, G., Inzerillo, G., Zingales, M. (2009). Non-local finite element method for the analysis of elastic continuum with long-range central interactions.. In Atti del XIX Convegno Nazionale dell'Associazione Italiana di Meccanica Teorica ed Applicata. ancona : aras.

### Non-local finite element method for the analysis of elastic continuum with long-range central interactions.

#### Abstract

In this paper the Finite Element Method (FEM) for the mechanically-based non-local elastic continuum model is proposed. In such a model non-adjacent elements are considered mutually interacting by means of central body forces that are monotonically decreasing with their interdistance and proportional to the product of the interacting volume elements. The resulting governing equation is an integro-differential one and for such a model both kinematical and mechanical boundary conditions are exactly coincident with the classical boundary conditions of the continuum mechanics. The solution of the integro-differential problem is framed in the paper by the finite element method. Finally, the solution obtained in the context of FEM is compared with finite difference method (FDM).
##### Scheda breve Scheda completa Scheda completa (DC)
Settore ICAR/08 - Scienza Delle Costruzioni
2009
XIX Convegno dell'Associazione Italiana di Meccanica Teorica ed Applicata
Ancona
14-17 settembre 2009
2009
00
Di Paola, M., Failla, G., Inzerillo, G., Zingales, M. (2009). Non-local finite element method for the analysis of elastic continuum with long-range central interactions.. In Atti del XIX Convegno Nazionale dell'Associazione Italiana di Meccanica Teorica ed Applicata. ancona : aras.
Proceedings (atti dei congressi)
Di Paola, M; Failla, G; Inzerillo, G; Zingales, M
File in questo prodotto:
File
m_zingales2.pdf

Solo gestori archvio

Dimensione 220.75 kB
Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/10447/42042`