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Duration: 01.01.2012 — 31.12.2014
Funding resources
Czech Science Foundation - Postdoktorandské granty
- whole funder (2012-01-01 - 2014-12-31)
On the project
Description in EnglishHigher order terms of the crack tip asymptotic field refine the fracture-mechanical description of the be- haviour of cracked bodies. They can play a key role in quasi-brittle materials (such as ceramics, rocks or cement-based composites) where the extent of the zone around the crack tip with nonlinear material behavi- our is very large in comparison to the typical structural dimensions. Higher order terms estimation is made numerically. In the project a procedure using the nite element method and leading to reliable estimation of the selected number of the higher terms is suggested. Results are used for interpretation of the inuence of the size/geometry/boundary conditions of the testing specimen/structure and contribute to a more complete description of the fracture response.
KeywordsWilliamsův rozvoj, trhlina, metoda konečných prvků, členy vyšších řádů
Key words in EnglishWilliams expansion, crack, nite element method, higher order terms
Mark
GPP105/12/P417
Default language
Czech
People responsible
Malíková Lucie, Ing., Ph.D. - principal person responsible
Units
Institute of Structural Mechanics- beneficiary (2012-01-01 - 2014-12-31)
Results
ŠESTÁKOVÁ, L. Using the multi-parameter fracture mechanics for more accurate description of stress/displacement crack tip fields. In Key Engineering Materials. Key Engineering Materials (web). Switzerland: 2014. p. 1-4. ISBN: 978-3-03785-876-9. ISSN: 1662-9795.Detail
MALÍKOVÁ, L.; VESELÝ, V. The influence of higher order terms of Williams series on a more accurate description of stress fields around the crack tip. Fatigue & Fracture of Engineering Materials & Structures, 2015, vol. 2015, no. 38, p. 91-103. ISSN: 8756-758X.Detail
SOBEK, J.; VESELÝ, V.; ŠESTÁKOVÁ, L. Přesnost aproximace polí napětí a posunů v tělese s trhlinou pro odhad rozsahu zóny porušení. Sborník vědeckých prací Vysoké školy báňské – Technické univerzity Ostrava, 2012, roč. XII, č. 2, s. 361-370. ISSN: 1213-1962.Detail
VESELÝ, V.; SOBEK, J.; ŠESTÁKOVÁ, L.; SEITL, S. Accurate description of near-crack-tip fields for the estimation of inelastic zone extent in quasi-brittle materials. Key Engineering Materials (web), 2012, vol. 525-526, no. 1, p. 529-532. ISSN: 1662-9795.Detail
ŠESTÁKOVÁ, L. How to Enhance Efficiency and Accuracy of the Over-Deterministic Method Used for Determination of the Coefficients of the Higher-Order Terms in Williams Expansion. Key Engineering Materials (web), 2012, vol. 245, no. 1, p. 120-125. ISSN: 1662-9795.Detail
ŠESTÁKOVÁ, L. Mixed-mode higher-order terms coefficients estimated using the over-deterministic method. In Trhlina, Williamsův rozvoj, koeficienty členů vyšších řádů, konečno-prvková analýza, metoda přeurčitosti. Svratka, Česká republika: 2012. p. 1301-1307. ISBN: 978-80-86246-40-6.Detail
MALÍKOVÁ, L.; VESELÝ, V.; SOBEK, J.; FRANTÍK, P. Accuracy of approximation of stress field in cracked bodies for failure zone extent estimation. In Fracture Mechanics of Concrete and Concrete Structures. Toledo, Španělsko: 2013. p. 1-10. ISBN: 978-84-941004-0-6.Detail
MALÍKOVÁ, L.; VESELÝ, V. Application of multi-parameter fracture mechanics to study of crack propagation angle in selected mixed-mode geometry. Materials Structure & Micromechanics of Fracture. Brno, Česká republika: 2013. p. 185-185. ISBN: 978-80-214-4739-4.Detail
MALÍKOVÁ, L.; VESELÝ, V. Importance of stress and displacement fields expressed by Williams expansion for fracture analyses in various cracked geometries. Applied Mechanics 2013. Velké Karlovice, Česká republika: 2013. p. 1-2. ISBN: 978-80-248-2978-4.Detail
MALÍKOVÁ, L.; VESELÝ, V. Williams expansion terms and their importance for accurate stress field description in specimens with a crack. Transactions of the VŠB - Technical University of Ostrava, Mechanical Series, 2013, vol. 2013, no. 2, p. 109-114. ISSN: 1804-0993.Detail
MALÍKOVÁ, L. Crack path investigation using the generalized maximum tangential stress criterion: Antisymmetrical four-point bending specimen. In ICMERA 2013. Applied Mechanics and Materials. Bukurešť, Rumunsko: 2013. p. 108-113. ISSN: 1660-9336.Detail
MALÍKOVÁ, L. Plastic zone extent in a CCT specimen determined from the crack-tip stress field approximated by means of the Williams expansion. In Engineering Mechanics 2014. Svratka, Česká republika: 2014. p. 1-4. ISBN: 978-80-214-4871-1.Detail
MALÍKOVÁ, L.; VESELÝ, V. Application of multi-parameter fracture mechanics to study of crack propagation angle in selected mixed-mode geometry. In Key Engineering Materials. Key Engineering Materials (print). 2014. p. 209-2012. ISBN: 978-3-03785-934-6. ISSN: 1013-9826.Detail
MALÍKOVÁ, L. Detailed crack-tip stress field description in a specimen subjected to mixed-mode loading. In Advances in Fracture and Damage Mechanics XII. Key Engineering Materials (web). Switzerland: 2014. p. 317-320. ISSN: 1662-9795.Detail
MALÍKOVÁ, L. Multi-parameter fracture criteria for estimation of crack propagation direction applied to a mixed-mode geometry. Engineering Fracture Mechanics, 2015, vol. 143, no. 2015, p. 32-46. ISSN: 0013-7944.Detail
MALÍKOVÁ, L. Estimation of the plastic zone size from the multi-parameter/generalized form of fracture criteria on various mode I geometries. In 11th International Conference on Local Mechanical Properties, LMP 2014. Key Engineering Materials (web). 2015. p. 169-172. ISBN: 978-80-970964-9-6. ISSN: 1662-9795.Detail
ŠESTÁKOVÁ, J.; VESELÝ, V. Convergence study on application of the over-deterministic method for determination of near-tip fields in a cracked plate loaded in mixed-mode. Applied Mechanics and Materials, 2012, vol. 249-250, no. 1, p. 76-81. ISSN: 1662-7482.Detail