Probabilistic Assessment of Fracture Toughness of Epoxy Resin EPOLAM 2025 Including the Notch Radii Effect
Many design scenarios of components made of polymer materials are concerned with notches as representative constructive details. The failure hazard assessment of these components using models based on the assumption of cracked components leads to over-conservative failure estimations. Among the diff...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Polymers |
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| Online Access: | https://www.mdpi.com/2073-4360/13/11/1857 |
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| author | Adrián Álvarez-Vázquez Miguel Muñiz-Calvente Pelayo Fernández Fernández Alfonso Fernández-Canteli María Jesús Lamela-Rey José María Pintado |
| author_facet | Adrián Álvarez-Vázquez Miguel Muñiz-Calvente Pelayo Fernández Fernández Alfonso Fernández-Canteli María Jesús Lamela-Rey José María Pintado |
| author_sort | Adrián Álvarez-Vázquez |
| collection | DOAJ |
| description | Many design scenarios of components made of polymer materials are concerned with notches as representative constructive details. The failure hazard assessment of these components using models based on the assumption of cracked components leads to over-conservative failure estimations. Among the different alternative approaches proposed that are based on the apparent fracture toughness, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>K</mi><mi>c</mi><mi>N</mi></msubsup></semantics></math></inline-formula> is considered. In so doing, the current deterministic underlying concept must be replaced by a probabilistic one to take into account the variability observed in the failure results in order to ensure a reliable design. In this paper, an approach based on the critical distance principle is proposed for the failure assessment of notched EPOLAM 2025 CT samples with each different notch radii (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula>) including a probabilistic assessment of the failure prediction. First, each apparent fracture toughness is transformed into the equivalent fracture toughness for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ρ</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> based on the critical distances theory. Then, once all results are normalized to the same basic conditions, a Weibull cumulative distribution function is fitted, allowing the probability of failure to be predicted for different notch radii. In this way, the total number of the specimens tested in the experimental campaign is reduced, whereas the reliability of the material characterization improves. Finally, the applicability of the proposed methodology is illustrated by an example using the own experimental campaign performed on EPOLAM 2025 CT specimens with different notch radii (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula>). |
| first_indexed | 2024-03-10T10:45:40Z |
| format | Article |
| id | doaj.art-30e870e971fc457cac078a63a5b87468 |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-10T10:45:40Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-30e870e971fc457cac078a63a5b874682023-11-21T22:37:58ZengMDPI AGPolymers2073-43602021-06-011311185710.3390/polym13111857Probabilistic Assessment of Fracture Toughness of Epoxy Resin EPOLAM 2025 Including the Notch Radii EffectAdrián Álvarez-Vázquez0Miguel Muñiz-Calvente1Pelayo Fernández Fernández2Alfonso Fernández-Canteli3María Jesús Lamela-Rey4José María Pintado5Department of Construction and Manufacturing Engineering, University of Oviedo, 33203 Gijón, SpainDepartment of Construction and Manufacturing Engineering, University of Oviedo, 33203 Gijón, SpainDepartment of Construction and Manufacturing Engineering, University of Oviedo, 33203 Gijón, SpainDepartment of Construction and Manufacturing Engineering, University of Oviedo, 33203 Gijón, SpainDepartment of Construction and Manufacturing Engineering, University of Oviedo, 33203 Gijón, SpainNational Institute for Aerospace Technology (INTA), 28850 Madrid, SpainMany design scenarios of components made of polymer materials are concerned with notches as representative constructive details. The failure hazard assessment of these components using models based on the assumption of cracked components leads to over-conservative failure estimations. Among the different alternative approaches proposed that are based on the apparent fracture toughness, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>K</mi><mi>c</mi><mi>N</mi></msubsup></semantics></math></inline-formula> is considered. In so doing, the current deterministic underlying concept must be replaced by a probabilistic one to take into account the variability observed in the failure results in order to ensure a reliable design. In this paper, an approach based on the critical distance principle is proposed for the failure assessment of notched EPOLAM 2025 CT samples with each different notch radii (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula>) including a probabilistic assessment of the failure prediction. First, each apparent fracture toughness is transformed into the equivalent fracture toughness for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ρ</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> based on the critical distances theory. Then, once all results are normalized to the same basic conditions, a Weibull cumulative distribution function is fitted, allowing the probability of failure to be predicted for different notch radii. In this way, the total number of the specimens tested in the experimental campaign is reduced, whereas the reliability of the material characterization improves. Finally, the applicability of the proposed methodology is illustrated by an example using the own experimental campaign performed on EPOLAM 2025 CT specimens with different notch radii (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula>).https://www.mdpi.com/2073-4360/13/11/1857notched componentsfailure probabilistic predictiontheory of critical distances |
| spellingShingle | Adrián Álvarez-Vázquez Miguel Muñiz-Calvente Pelayo Fernández Fernández Alfonso Fernández-Canteli María Jesús Lamela-Rey José María Pintado Probabilistic Assessment of Fracture Toughness of Epoxy Resin EPOLAM 2025 Including the Notch Radii Effect Polymers notched components failure probabilistic prediction theory of critical distances |
| title | Probabilistic Assessment of Fracture Toughness of Epoxy Resin EPOLAM 2025 Including the Notch Radii Effect |
| title_full | Probabilistic Assessment of Fracture Toughness of Epoxy Resin EPOLAM 2025 Including the Notch Radii Effect |
| title_fullStr | Probabilistic Assessment of Fracture Toughness of Epoxy Resin EPOLAM 2025 Including the Notch Radii Effect |
| title_full_unstemmed | Probabilistic Assessment of Fracture Toughness of Epoxy Resin EPOLAM 2025 Including the Notch Radii Effect |
| title_short | Probabilistic Assessment of Fracture Toughness of Epoxy Resin EPOLAM 2025 Including the Notch Radii Effect |
| title_sort | probabilistic assessment of fracture toughness of epoxy resin epolam 2025 including the notch radii effect |
| topic | notched components failure probabilistic prediction theory of critical distances |
| url | https://www.mdpi.com/2073-4360/13/11/1857 |
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