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: | , , , , |
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2017-07-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero41/numero_41_art_43.pdf |
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| _version_ | 1841564460940001280 |
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| author | S. Seitl L. Malíková J. Sobek P. Frantík P. Lopez-Crespo |
| author_facet | S. Seitl L. Malíková 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. |
| format | Article |
| id | doaj-art-5ef5cd4a711140d198c7c364ec3ae8ae |
| institution | Kabale University |
| issn | 1971-8993 1971-8993 |
| language | English |
| publishDate | 2017-07-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-5ef5cd4a711140d198c7c364ec3ae8ae2025-01-02T22:44:52ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89931971-89932017-07-011141323331Williams expansion-based approximation of the stress field in an Al 2024 body with a crack from optical measurementsS. Seitl0 L. Malíková 1J. Sobek2 P. Frantík 3P. Lopez-Crespo 4Brno University of Technology, Czech RepublicBrno University of Technology, Czech RepublicBrno University of Technology, Czech RepublicBrno University of Technology, Czech Republic, University of Malaga, SpainA 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.http://www.gruppofrattura.it/pdf/rivista/numero41/numero_41_art_43.pdfCrack tip fieldsOptical measurementsDICWilliams power seriesHigher-order termsStress field reconstructionMulti-parameter approximation. |
| spellingShingle | S. Seitl L. Malíková 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 Multi-parameter approximation. |
| 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 Multi-parameter approximation. |
| url | http://www.gruppofrattura.it/pdf/rivista/numero41/numero_41_art_43.pdf |
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