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

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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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