Validity of the Finite Fracture Mechanics based Asymptotic Analysis for Predictions of Crack Deflection in Thin Layers of Ceramic Laminates

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F15%3APU111719" target="_blank" >RIV/00216305:26210/15:PU111719 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.4028/www.scientific.net/KEM.627.237" target="_blank" >http://dx.doi.org/10.4028/www.scientific.net/KEM.627.237</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4028/www.scientific.net/KEM.627.237" target="_blank" >10.4028/www.scientific.net/KEM.627.237</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Validity of the Finite Fracture Mechanics based Asymptotic Analysis for Predictions of Crack Deflection in Thin Layers of Ceramic Laminates

Popis výsledku v původním jazyce

The work studies and compares different approaches suitable for predictions of the crack deflection (bifurcation) in ceramic laminates containing thin layers under high residual stresses and discuss a suitability and limits of using of the asymptotic analysis for such problems. The thickness of the thin compressive layers where the crack deflection occurs is only one order higher than the crack extension lengths considered within the solution. A purely FEM based calculation of the energy and stress conditions, necessary for the crack propagation, serves as the reference solution to the problem. The asymptotic analysis is used after for calculations of the same quantities (especially of energy release rate – ERR). This concept enables semi-analytical calculations of ERR or changes in potential energy induced by the crack extensions of different lengths and directions. Such approach can save a large amount of simulations and time compared with the pure FEM based calculations. It was found that the asymptotic analysis provides a good agreement for investigations of the crack increments enough far from the adjacent interfaces but for longer extensions (of length above 1/5-1/10 of the distance from the interface) starts more significantly to deviate from the correct solution. Involvement of the higher order terms in the asymptotic solution or other improvement of the model is thus advisable.

Název v anglickém jazyce

Validity of the Finite Fracture Mechanics based Asymptotic Analysis for Predictions of Crack Deflection in Thin Layers of Ceramic Laminates

Popis výsledku anglicky

The work studies and compares different approaches suitable for predictions of the crack deflection (bifurcation) in ceramic laminates containing thin layers under high residual stresses and discuss a suitability and limits of using of the asymptotic analysis for such problems. The thickness of the thin compressive layers where the crack deflection occurs is only one order higher than the crack extension lengths considered within the solution. A purely FEM based calculation of the energy and stress conditions, necessary for the crack propagation, serves as the reference solution to the problem. The asymptotic analysis is used after for calculations of the same quantities (especially of energy release rate – ERR). This concept enables semi-analytical calculations of ERR or changes in potential energy induced by the crack extensions of different lengths and directions. Such approach can save a large amount of simulations and time compared with the pure FEM based calculations. It was found that the asymptotic analysis provides a good agreement for investigations of the crack increments enough far from the adjacent interfaces but for longer extensions (of length above 1/5-1/10 of the distance from the interface) starts more significantly to deviate from the correct solution. Involvement of the higher order terms in the asymptotic solution or other improvement of the model is thus advisable.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

20306 - Audio engineering, reliability analysis

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Advances in Fracture and Damage Mechanics XIII

ISBN

978-3-03835-235-8

ISSN

1013-9826

e-ISSN

—

Počet stran výsledku

4

Strana od-do

237-240

Název nakladatele

Trans Tech Publications

Místo vydání

Švýcarsko

Místo konání akce

Ponta Delgada, Azores

Datum konání akce

23. 9. 2014

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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