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: | Steinmann, Professor Paul and McBride, Professor Andrew |
| 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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