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Title: A modified peridynamics correspondence principle: Removal of zero-energy deformation and other implications
Authors: Roy Chowdhury, Shubhankar
Roy P.
Roy D.
Reddy J.N.
Published in: Computer Methods in Applied Mechanics and Engineering
Abstract: We look for an enhancement of the correspondence model of peridynamics, emphasizing the elimination of zero-energy deformation modes. We propose an approach based on the notion of sub-horizons. The most useful feature of this proposal is the setup which, whilst providing solutions with the necessary stability, deviates only marginally from the original correspondence formulation. A thorough analysis of the sub-horizon based method is furnished based on the well-posedness of integral equations and energy spectrum, which clearly demonstrate a removal of zero energy modes. We also show how other forms of unphysical deformation modes, e.g. material collapse within horizon, jump discontinuities and vanishing energy modes, can be prevented with the present proposal. Finally, a set of numerical simulations are undertaken that attest to the remarkable efficacy of the sub-horizon based approach. ¬© 2018 Elsevier B.V.
Citation: Computer Methods in Applied Mechanics and Engineering(2019), 346(): 530-549
Issue Date: 2019
Publisher: Elsevier B.V.
Keywords: Constitutive correspondence
Fredholm integral
Gauge theory
Zero-energy modes
ISSN: 457825
Author Scopus IDs: 56818427600
Author Affiliations: Roy Chowdhury, S., Computational Mechanics Lab, Department of Civil Engineering, Indian Institute of Science, Bangalore, 560012, India
Roy, P., Computational Mechanics Lab, Department of Civil Engineering, Indian Institute of Science, Bangalore, 560012,
Corresponding Author: Reddy, J.N.; Advanced Computational Mechanics Lab, Department of Mechanical Engineering, Texas A&M University, College Station, United States; email:
Appears in Collections:Journal Publications [CE]

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