An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures
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paper (1).pdf
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Author(s)
Tupek, Michael Ronne
Radovitzky, Raul A
Date Issued
January 2014
Journal
Journal of the Mechanics and Physics of Solids
Publisher
Elsevier
Citation
Tupek, M.R. and Radovitzky, R. "An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures." Journal of the Mechanics and Physics of Solids 65 (April 2014): 82-92. © 2014 Elsevier Ltd
Version
Author's final manuscript
Abstract
An extension of the constitutive correspondence framework of peridynamics is proposed. The main motivation is to address unphysical deformation modes which are shown to be permitted in the original constitutive formulation. The specific problem of matter interpenetration observed in numerical discretizations of peridynamics has usually been treated by adding short-range forces between neighboring particles in the discretization. Here, we propose a solution that is rooted directly within the nonlocal theory. The basic approach is to introduce generalized nonlocal peridynamic strain tensors based on corresponding bond-level Seth–Hill strain measures which inherently avoid violations of the matter interpenetration constraint. Several analytic examples are used to show that the modified theory avoids issues of matter interpenetration in cases where the original theory fails. The resulting extended constitutive correspondence framework supports general classic constitutive laws as originally intended and is also shown to be ordinary.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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Creative Commons Attribution-NonCommercial-NoDerivs License
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DOI of Published Version
https://doi.org/10.1016/j.jmps.2013.12.012
