Kinetic relations and local energy balance for LEFM from a nonlocal peridynamic model

A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic relation for the crack tip velocity given by Linear Elastic Fracture Mechanics (LEFM) is recovered directly from the nonlocal dynamics, this is seen both theoretically and in simulations. An explicit...

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Bibliographic Details
Published in:International journal of fracture 2020-11, Vol.226 (1), p.81-95
Main Authors: Jha, Prashant K., Lipton, Robert P.
Format: Article
Language:English
Subjects:
Automotive Engineering
Characterization and Evaluation of Materials
Chemistry and Materials Science
Civil Engineering
Classical Mechanics
Crack tips
Field theory
Fracture mechanics
Internal energy
Linear elastic fracture mechanics
Materials Science
Mechanical Engineering
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Summary:A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic relation for the crack tip velocity given by Linear Elastic Fracture Mechanics (LEFM) is recovered directly from the nonlocal dynamics, this is seen both theoretically and in simulations. An explicit formula for the change of internal energy inside a neighborhood enclosing the crack tip is found for the nonlocal model and applied to LEFM.
ISSN:0376-9429
1573-2673
DOI:10.1007/s10704-020-00480-0