Engineering Mechanics

International Conference

Proceedings Vol. 20 (2014)


ENGINEERING MECHANICS 2014

20th INTERNATIONAL CONFERENCE
May 12 – 15, 2014, Svratka, Czech Republic
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Editors: Vladimír Fuis

Copyright © 2014 Brno University of Technology Institute of Solid Mechanics, Mechatronics and Biomechanics

ISBN 978-80-214-4871-1 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

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PLASTIC ZONE EXTENT IN A CCT SPECIMEN DETERMINED FROM THE CRACK-TIP STRESS FIELD APPROXIMATED BY MEANS OF THE WILLIAMS EXPANSION
Malíková L.
pages 407 - 410, full text

A plate with a central crack under uniaxial tension is studied in this work in order to discuss the influence of the number of terms considered in the Williams expansion (derived for approximation of the crack tip stress field) on the plastic zone size. Two criteria are introduced: Rankine criterion and von Mises criterion. Comparison between FEM solution and results obtained by means of the Williams expansion shows that whereas for short cracks the classical one-parameter fracture mechanics can be used, the plastic zone extent estimated via the Williams expansion for longer cracks agrees better to the numerical solution if more than only the first term of the series is considered.


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