An Efficient Method for the Treatment of Bounded Elastic Bodies With Many Cracks

Presented is a hybrid numerical‐analytical method for the investigation of linear elastic bodies containing many straight (2D) or penny‐shaped (90) cracks. The method of 'pseudo tractions' and its evaluation according to Kachanov (Kachanov, 1998), based on closed form solutions for cracks...

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Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Mechanik 2000, Vol.80 (S2), p.493-494
Main Authors: Rafiee, S., Gross, D., Seelig, Th
Format: Article
Language:English
Subjects:
Applied sciences
Boundary-integral methods
Computational techniques
Exact sciences and technology
Fractures
Mathematical methods in physics
Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology
Metals. Metallurgy
Physics
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Summary:Presented is a hybrid numerical‐analytical method for the investigation of linear elastic bodies containing many straight (2D) or penny‐shaped (90) cracks. The method of 'pseudo tractions' and its evaluation according to Kachanov (Kachanov, 1998), based on closed form solutions for cracks in unbounded domains, is extended to bounded domains by combination with a boundary element method (BEM). The influence of the boundary on stress singularities of interacting cracks is analyzed. Furthermore, the overall elastic behavior of a finite body containing distributed cracks in various configurations is investigated.
ISSN:0044-2267
1521-4001
DOI:10.1002/zamm.200008014117