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Coupling of 2D discretized Peridynamics with a meshless method based on classical elasticity using switching of nodal behaviour

Arman Shojaei (Department of Industrial Engineering, University of Padua, Padova, Italy and Center of Studies and Activities for Space “Giuseppe Colombo” (CISAS), Padova, Italy)
Mirco Zaccariotto (Department of Industrial Engineering, University of Padua, Padova, Italy)
Ugo Galvanetto (Department of Industrial Engineering, University of Padua, Padova, Italy)

Engineering Computations

ISSN: 0264-4401

Article publication date: 3 July 2017

Abstract

Purpose

The paper aims to use a switching technique which allows to couple a nonlocal bond-based Peridynamic approach to the Meshless Local Exponential Basis Functions (MLEBF) method, based on classical continuum mechanics, to solve planar problems.

Design/methodology/approach

The coupling has been achieved in a completely meshless scheme. The domain is divided in three zones: one in which only Peridynamics is applied, one in which only the meshless method is applied and a transition zone where a gradual transition between the two approaches takes place.

Findings

The new coupling technique generates overall grids that are not affected by ghost forces. Moreover, the use of the meshless approach can be limited to a narrow boundary region of the domain, and in this way, it can be used to remove the “surface effect” from the Peridynamic solution applied to all internal points.

Originality/value

The current study paves the road for future studies on dynamic and static crack propagation problems.

Keywords

Acknowledgements

This research was partially supported by the Italian Ministry of Education, University and Research (MIUR) by the PRIN program 2010/11N.2010MBJK5B. The authors thank the anonymous referees for their useful suggestions.

Citation

Shojaei, A., Zaccariotto, M. and Galvanetto, U. (2017), "Coupling of 2D discretized Peridynamics with a meshless method based on classical elasticity using switching of nodal behaviour", Engineering Computations, Vol. 34 No. 5, pp. 1334-1366. https://doi.org/10.1108/EC-03-2016-0078

Publisher

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Emerald Publishing Limited

Copyright © 2017, Emerald Publishing Limited