Survey of Existence Results in Nonlinear Peridynamics in Comparison with Local Elastodynamics-Reference-Cited by-同舟云学术

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

Published:2015-10-01 Issue:4 Volume:15 Page:483-496
ISSN:1609-4840
Container-title:Computational Methods in Applied Mathematics
language:
Short-container-title:

Author:

Emmrich Etienne¹,Puhst Dimitri²

Affiliation:

1. 1Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany

2. 2Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany

Abstract

AbstractWe 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://www.degruyter.com/downloadpdf/journals/cmam/15/4/article-p483.xml

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