Continuum-kinematics-inspired peridynamics. Mechanical problems

Javili, A., McBride, A.T. and Steinmann, P. (2019) Continuum-kinematics-inspired peridynamics. Mechanical problems. Journal of the Mechanics and Physics of Solids, 131, pp. 125-146. (doi:10.1016/j.jmps.2019.06.016)

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Abstract

The main objective of this contribution is to develop a novel continuum-kinematics-inspired approach for peridynamics (PD), and to revisit PD’s thermodynamic foundations. We distinguish between three types of interactions, namely, one-neighbour interactions, two-neighbour interactions and three-neighbour interactions. While one-neighbour interactions are equivalent to the bond-based interactions of the original PD formalism, two- and three-neighbour interactions are fundamentally different to state-based interactions in that the basic elements of continuum kinematics are preserved exactly. In addition, we propose that an externally prescribed traction on the boundary of the continuum body emerges naturally and need not vanish. This is in contrast to, but does not necessarily violate, standard PD. We investigate the consequences of the angular momentum balance and provide a set of appropriate arguments for the interactions accordingly. Furthermore, we elaborate on thermodynamic restrictions on the interaction energies and derive thermodynamically-consistent constitutive laws through a Coleman–Noll-like procedure.

Item Type:Articles
Additional Information:PS and AM gratefully acknowledge the support provided by the EPSRC Strategic Support Package: Engineering of Active Materials by Multiscale/Multiphysics Computational Mechanics - EP/R008531/1
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:McBride, Dr Andrew and Steinmann, Professor Paul
Authors: Javili, A., McBride, A.T., and Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Journal of the Mechanics and Physics of Solids
Publisher:Elsevier
ISSN:0022-5096
ISSN (Online):0022-5096
Published Online:02 July 2019
Copyright Holders:Copyright © 2019 The Authors
First Published:First published in Journal of the Mechanics and Physics of Solids 131:125-146
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
3001290Strategic Support Package: Engineering of Active Materials by Multiscale/Multiphysics Computational MechanicsChristopher PearceEngineering and Physical Sciences Research Council (EPSRC)EP/R008531/1ENG - Infrastructure & Environment