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MALÍKOVÁ, L. VESELÝ, V. SOBEK, J. FRANTÍK, P.
Original Title
Accuracy of approximation of stress field in cracked bodies for failure zone extent estimation
Type
conference paper
Language
English
Original Abstract
Accurate knowledge of stress/displacement field in a cracked specimen is very important for fracture analysis and for instance in the case of quasi-brittle materials, where the zone of non-linear behavior affecting the overall fracture process is larger than in other (brittle) materials, it can play a key role. In this paper, it is shown that Williams expansion can describe the crack-tip fields reliably, provided that considerably more than one or two terms of the power series are taking into account. Such an approach, referred to as multi-parameter fracture mechanics, is usually not used for a common assessment of crack behavior. The study presented shows that especially in larger distances from the crack tip the higher-order terms are crucial in order to minimize the error corre¬sponding with use of only one or two fracture parameters (the first and second terms of Williams expansion). In other words, considering of the higher-order terms of the Williams expansion is essential if knowledge of accurate stress/displacement fields around the crack tip in the analysed specimen/structure is required.
Keywords
Near-crack-tip fields, Williams power expansion, over-deterministic method, finite elements, failure zone extent
Authors
MALÍKOVÁ, L.; VESELÝ, V.; SOBEK, J.; FRANTÍK, P.
RIV year
2013
Released
11. 3. 2013
Location
Toledo, Španělsko
ISBN
978-84-941004-0-6
Book
Fracture Mechanics of Concrete and Concrete Structures
Pages from
1
Pages to
10
Pages count
BibTex
@inproceedings{BUT102198, author="Lucie {Malíková} and Václav {Veselý} and Jakub {Sobek} and Petr {Frantík}", title="Accuracy of approximation of stress field in cracked bodies for failure zone extent estimation", booktitle="Fracture Mechanics of Concrete and Concrete Structures", year="2013", pages="1--10", address="Toledo, Španělsko", isbn="978-84-941004-0-6" }