Nonlocal elastodynamics and fracture

A nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the nonlocal model are shown to converge in the limit of vanishing non-locality to solutions of classic plane elastodynamics associated with a running crack. We carry out ou...

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Bibliographic Details
Published inNonlinear differential equations and applications Vol. 28; no. 3
Main Authors Lipton, Robert P., Jha, Prashant K.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.05.2021
Springer Nature B.V
Subjects
Analysis
Elastodynamics
Field theory
Mathematics
Mathematics and Statistics
Nonlinear
Nonlocal
Brittle fracture
34A99
Elastodynamic
Peridynamics
74R99
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Summary:A nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the nonlocal model are shown to converge in the limit of vanishing non-locality to solutions of classic plane elastodynamics associated with a running crack. We carry out our analysis for a plate subject to mode one loading. The length of the crack is prescribed a priori and is an increasing function of time.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-021-00683-x