Towards elasto-plastic continuum-kinematics-inspired peridynamics
Javili A, McBride AT, Mergheim J, Steinmann P (2021)
Publication Type: Journal article
Publication year: 2021
Journal
Book Volume: 380
Article Number: 113809
DOI: 10.1016/j.cma.2021.113809
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.
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Turkey (TR)
United Kingdom (GB)How to cite
APA:
Javili, A., McBride, A.T., Mergheim, J., & Steinmann, P. (2021). Towards elasto-plastic continuum-kinematics-inspired peridynamics. Computer Methods in Applied Mechanics and Engineering, 380. https://doi.org/10.1016/j.cma.2021.113809
MLA:
Javili, A., et al. "Towards elasto-plastic continuum-kinematics-inspired peridynamics." Computer Methods in Applied Mechanics and Engineering 380 (2021).
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