Williams expansion-based approximation of the stress field in an Al 2024 body with a crack from optical measurements

A study on the approximation of the stress field in the vicinity of crack tip in a compact tension specimen made from Al 2024-T351 is presented. Crack tip stress tensor components are expressed using the linear elastic fracture mechanics (LEFM) theory in this work, more precisely via its multi-param...

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Main Authors: S. Seitl, L. Malíkova, J. Sobek, P. Frantík, P. Lopez-Crespo
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2017-06-01
Series:Fracture and Structural Integrity
Subjects:
Online Access:https://212.237.37.202/index.php/fis/article/view/1898
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author S. Seitl
L. Malíkova
J. Sobek
P. Frantík
P. Lopez-Crespo
author_facet S. Seitl
L. Malíkova
J. Sobek
P. Frantík
P. Lopez-Crespo
author_sort S. Seitl
collection DOAJ
description A study on the approximation of the stress field in the vicinity of crack tip in a compact tension specimen made from Al 2024-T351 is presented. Crack tip stress tensor components are expressed using the linear elastic fracture mechanics (LEFM) theory in this work, more precisely via its multi-parameter formulation, i.e. by Williams power series (WPS). Determination of coefficients of terms of this series is performed using a least squares-based regression technique known as over deterministic method (ODM) for which displacements data obtained experimentally via optical measurements are taken as inputs. The stress fields reconstructed based on the displacement data obtained experimentally by means of optical measurements are verified by means of the stress field approximations derived for the normalized CT specimen via hybrid elements.
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institution Kabale University
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publishDate 2017-06-01
publisher Gruppo Italiano Frattura
record_format Article
series Fracture and Structural Integrity
spelling doaj-art-a4a9054c67ed4227a8e242616c99a3ad2025-01-03T01:05:20ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932017-06-011141Williams expansion-based approximation of the stress field in an Al 2024 body with a crack from optical measurementsS. SeitlL. MalíkovaJ. SobekP. FrantíkP. Lopez-CrespoA study on the approximation of the stress field in the vicinity of crack tip in a compact tension specimen made from Al 2024-T351 is presented. Crack tip stress tensor components are expressed using the linear elastic fracture mechanics (LEFM) theory in this work, more precisely via its multi-parameter formulation, i.e. by Williams power series (WPS). Determination of coefficients of terms of this series is performed using a least squares-based regression technique known as over deterministic method (ODM) for which displacements data obtained experimentally via optical measurements are taken as inputs. The stress fields reconstructed based on the displacement data obtained experimentally by means of optical measurements are verified by means of the stress field approximations derived for the normalized CT specimen via hybrid elements.https://212.237.37.202/index.php/fis/article/view/1898Crack tip fieldsOptical measurementsDICWilliams power seriesHigher-order termsStress field reconstruction
spellingShingle S. Seitl
L. Malíkova
J. Sobek
P. Frantík
P. Lopez-Crespo
Williams expansion-based approximation of the stress field in an Al 2024 body with a crack from optical measurements
Fracture and Structural Integrity
Crack tip fields
Optical measurements
DIC
Williams power series
Higher-order terms
Stress field reconstruction
title Williams expansion-based approximation of the stress field in an Al 2024 body with a crack from optical measurements
title_full Williams expansion-based approximation of the stress field in an Al 2024 body with a crack from optical measurements
title_fullStr Williams expansion-based approximation of the stress field in an Al 2024 body with a crack from optical measurements
title_full_unstemmed Williams expansion-based approximation of the stress field in an Al 2024 body with a crack from optical measurements
title_short Williams expansion-based approximation of the stress field in an Al 2024 body with a crack from optical measurements
title_sort williams expansion based approximation of the stress field in an al 2024 body with a crack from optical measurements
topic Crack tip fields
Optical measurements
DIC
Williams power series
Higher-order terms
Stress field reconstruction
url https://212.237.37.202/index.php/fis/article/view/1898
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