Javili, A., McBride, A.T. , Mergheim, J. and Steinmann, P. (2021) Towards elasto-plastic continuum-kinematics-inspired peridynamics. Computer Methods in Applied Mechanics and Engineering, 380, 113809. (doi: 10.1016/j.cma.2021.113809)
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Abstract
The main objective of this contribution is to develop a dissipation-consistent elasto-plastic peridynamic (PD) formulation that is also geometrically exact. We distinguish between one-neighbour, two-neighbour and three-neighbour interactions. One-neighbour interactions are equivalent to the bond-based interactions of the original PD formalism. However, two- and three-neighbour interactions are fundamentally different to state-based interactions, as the basic elements of continuum kinematics are preserved exactly. We investigate the consequences of the angular momentum balance and provide a set of appropriate arguments for the interaction potentials accordingly. Furthermore, we elaborate on restrictions on the interaction energies and derive dissipation-consistent constitutive laws through a Coleman–Noll-like procedure. Although the framework is suitable for finite deformations, an additive decomposition of the kinematic quantities into elastic and plastic parts is rigorously proven to be a correct choice. Crucially, in our proposed scheme, the elasto-plastic framework resembles standard one-dimensional plasticity, for all interactions. Finally, we demonstrate the capability of our proposed framework via a series of numerical examples.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | McBride, Professor Andrew |
| Authors: | Javili, A., McBride, A.T., Mergheim, J., and Steinmann, P. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | Computer Methods in Applied Mechanics and Engineering |
| Publisher: | Elsevier |
| ISSN: | 0045-7825 |
| ISSN (Online): | 1879-2138 |
| Published Online: | 03 April 2021 |
| Copyright Holders: | Copyright © 2021 Elsevier |
| First Published: | First published in Computer Methods in Applied Mechanics and Engineering 380:113809 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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