A Methodology to Determine the Effective Plastic Zone Size Around Blunt V-Notches under Mixed Mode I/II Loading and Plane-Stress Conditions
The determination of the ductile failure behavior in engineering components weakened by cracks and notches is greatly dependent on the estimation of the plastic zone size (PZS) and, particularly, the effective plastic zone size (EPZS). Usually, time-consuming complex elastic–plastic analyses are req...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Metals |
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| Online Access: | https://www.mdpi.com/2075-4701/11/7/1042 |
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| author | Ali Reza Torabi Behnam Shahbazian Mirmilad Mirsayar Sergio Cicero |
| author_facet | Ali Reza Torabi Behnam Shahbazian Mirmilad Mirsayar Sergio Cicero |
| author_sort | Ali Reza Torabi |
| collection | DOAJ |
| description | The determination of the ductile failure behavior in engineering components weakened by cracks and notches is greatly dependent on the estimation of the plastic zone size (PZS) and, particularly, the effective plastic zone size (EPZS). Usually, time-consuming complex elastic–plastic analyses are required for the determination of the EPZS. Such demanding procedures can be avoided by employing analytical methods and by taking advantage of linear elastic analyses. In this sense, this work proposed a methodology for determining the PZS around the tip of blunt V-notches subjected to mixed mode I/II loading and plane-stress conditions. With this aim, firstly, existing approximate mathematical expressions for the elastic stress field near round-tip V-notches reported in the literature are presented. Next, Irwin’s approach (fundamentally proposed for sharp cracks) and a yield criterion (von Mises or Tresca) were applied and are presented. With the aim of verifying the proposed methodology, elastic–plastic finite element analyses were performed on virtual AISI 304 steel V-notched specimens. It was shown that the analytical formulations presented cannot estimate the complete shape of the plastic zone. However, the EPZS, which is crucial for predicting the type of ductile failure in notched members, can be successfully estimated. |
| first_indexed | 2024-03-10T09:57:29Z |
| format | Article |
| id | doaj.art-2a42c71b76794b13acd94dc12ddd5dd0 |
| institution | Directory Open Access Journal |
| issn | 2075-4701 |
| language | English |
| last_indexed | 2024-03-10T09:57:29Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Metals |
| spelling | doaj.art-2a42c71b76794b13acd94dc12ddd5dd02023-11-22T02:12:04ZengMDPI AGMetals2075-47012021-06-01117104210.3390/met11071042A Methodology to Determine the Effective Plastic Zone Size Around Blunt V-Notches under Mixed Mode I/II Loading and Plane-Stress ConditionsAli Reza Torabi0Behnam Shahbazian1Mirmilad Mirsayar2Sergio Cicero3Fracture Research Laboratory, Faculty of New Science and Technologies, University of Tehran, Tehran 1439957131, IranFracture Research Laboratory, Faculty of New Science and Technologies, University of Tehran, Tehran 1439957131, IranDepartment of Aerospace, Physics, and Space Sciences, Florida Institute of Technology, Melbourne, FL 32901, USALaboratory of Materials Science and Engineering (LADICIM), University of Cantabria, E.T.S. de Ingenieros de Caminos, Canales y Puertos, Av/Los Castros 44, 39005 Santander, SpainThe determination of the ductile failure behavior in engineering components weakened by cracks and notches is greatly dependent on the estimation of the plastic zone size (PZS) and, particularly, the effective plastic zone size (EPZS). Usually, time-consuming complex elastic–plastic analyses are required for the determination of the EPZS. Such demanding procedures can be avoided by employing analytical methods and by taking advantage of linear elastic analyses. In this sense, this work proposed a methodology for determining the PZS around the tip of blunt V-notches subjected to mixed mode I/II loading and plane-stress conditions. With this aim, firstly, existing approximate mathematical expressions for the elastic stress field near round-tip V-notches reported in the literature are presented. Next, Irwin’s approach (fundamentally proposed for sharp cracks) and a yield criterion (von Mises or Tresca) were applied and are presented. With the aim of verifying the proposed methodology, elastic–plastic finite element analyses were performed on virtual AISI 304 steel V-notched specimens. It was shown that the analytical formulations presented cannot estimate the complete shape of the plastic zone. However, the EPZS, which is crucial for predicting the type of ductile failure in notched members, can be successfully estimated.https://www.mdpi.com/2075-4701/11/7/1042round-tip V-notcheffective plastic zone sizeIrwin’s modelanalytical methodmixed mode I/II loadingplane–stress conditions |
| spellingShingle | Ali Reza Torabi Behnam Shahbazian Mirmilad Mirsayar Sergio Cicero A Methodology to Determine the Effective Plastic Zone Size Around Blunt V-Notches under Mixed Mode I/II Loading and Plane-Stress Conditions Metals round-tip V-notch effective plastic zone size Irwin’s model analytical method mixed mode I/II loading plane–stress conditions |
| title | A Methodology to Determine the Effective Plastic Zone Size Around Blunt V-Notches under Mixed Mode I/II Loading and Plane-Stress Conditions |
| title_full | A Methodology to Determine the Effective Plastic Zone Size Around Blunt V-Notches under Mixed Mode I/II Loading and Plane-Stress Conditions |
| title_fullStr | A Methodology to Determine the Effective Plastic Zone Size Around Blunt V-Notches under Mixed Mode I/II Loading and Plane-Stress Conditions |
| title_full_unstemmed | A Methodology to Determine the Effective Plastic Zone Size Around Blunt V-Notches under Mixed Mode I/II Loading and Plane-Stress Conditions |
| title_short | A Methodology to Determine the Effective Plastic Zone Size Around Blunt V-Notches under Mixed Mode I/II Loading and Plane-Stress Conditions |
| title_sort | methodology to determine the effective plastic zone size around blunt v notches under mixed mode i ii loading and plane stress conditions |
| topic | round-tip V-notch effective plastic zone size Irwin’s model analytical method mixed mode I/II loading plane–stress conditions |
| url | https://www.mdpi.com/2075-4701/11/7/1042 |
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