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Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

4 Issues per year


IMPACT FACTOR 2015: 0.673

SCImago Journal Rank (SJR) 2015: 0.997
Source Normalized Impact per Paper (SNIP) 2015: 0.683
Impact per Publication (IPP) 2015: 0.765

Mathematical Citation Quotient (MCQ) 2015: 0.68

Online
ISSN
1609-9389
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Volume 15, Issue 4 (Oct 2015)

Issues

Survey of Existence Results in Nonlinear Peridynamics in Comparison with Local Elastodynamics

Etienne Emmrich
  • Corresponding author
  • Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany
  • Email:
/ Dimitri Puhst
  • Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany
  • Email:
Published Online: 2015-08-14 | DOI: https://doi.org/10.1515/cmam-2015-0020

Abstract

We give an overview on existence results in nonlinear peridynamics, a nonlocal elasticity theory, and compare these results with those known for classical nonlinear elastodynamics. In peridynamics, it is possible to obtain stronger results under equal or even less restrictive assumptions on the stress.

Keywords: Nonlinear Elastodynamics; Nonlocal Models; Peridynamics; Existence; Generalized Solutions; Galerkin Approximation

MSC: 74-02; 74B20; 74H20; 35L72; 35D30; 34G20

About the article

Received: 2015-03-11

Revised: 2015-07-20

Accepted: 2015-07-26

Published Online: 2015-08-14

Published in Print: 2015-10-01


Citation Information: Computational Methods in Applied Mathematics, ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.1515/cmam-2015-0020. Export Citation

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