Nonlocal elastodynamics and fracture

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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Veröffentlicht in:Nonlinear differential equations and applications 2021-05, Vol.28 (3), Article 23
Hauptverfasser: Lipton, Robert P., Jha, Prashant K.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Elastodynamics
Field theory
Mathematics
Mathematics and Statistics
Mathematics, Applied
Physical Sciences
Science & Technology
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Zusammenfassung: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.
ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-021-00683-x