Accuracy of approximation of stress field in cracked bodies for failure zone extent estimation

Accuracy of approximation of stress field in cracked bodies for failure zone extent estimation

Paper in proceedings (conference paper)

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.

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.

Near-crack-tip fields, Williams power expansion, over-deterministic method, finite elements, failure zone extent

Near-crack-tip fields, Williams power expansion, over-deterministic method, finite elements, failure zone extent

MALÍKOVÁ, L.; VESELÝ, V.; SOBEK, J.; FRANTÍK, P.

2014

11.03.2013

Toledo, Španělsko

978-84-941004-0-6

Fracture Mechanics of Concrete and Concrete Structures

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