{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,30]],"date-time":"2026-07-30T19:25:49Z","timestamp":1785439549756,"version":"3.56.0"},"reference-count":50,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,2,13]],"date-time":"2023-02-13T00:00:00Z","timestamp":1676246400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Materials"],"abstract":"<jats:p>To ensure the reliability and durability of structural elements, modern approaches require data characterizing the local stress-strain state of the material in risk zones. In order to predict the fracture resistance of structural elements, a theoretical-experimental method based on the damage accumulation model using the energy approach is proposed. One of the unique characteristics of the proposed approach is that it uses local parameters of the stress-strain state, which are determined using a highly accurate and easy-to-use noncontact method of optical\u2013digital image correlation (ODIC). This can be used both in laboratory conditions and for structural elements under real operating conditions. The proposed method of plotting stress\u2013strain curves makes it possible to determine the true stresses near the concentrators in structural elements under a complex load. Using these diagrams in calculations and the finite element method (FEM), a study of local strain not only of the surface, but also of the internal volumes of the material was carried out. The damage parameter is introduced as the ratio of the elastoplastic strain energy of the local volume to its critical value. It is confirmed that the damage of the sample material starts from its centre. It was established that the damage parameter in the centre of the sample is 25\u201335% higher than its value on the surface of the sample.<\/jats:p>","DOI":"10.3390\/ma16041566","type":"journal-article","created":{"date-parts":[[2023,2,13]],"date-time":"2023-02-13T07:01:23Z","timestamp":1676271683000},"page":"1566","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":26,"title":["A New Energy Approach to Predicting Fracture Resistance in Metals"],"prefix":"10.3390","volume":"16","author":[{"given":"Maciej","family":"Dutkiewicz","sequence":"first","affiliation":[{"name":"Faculty of Civil and Environmental Engineering and Architecture, Bydgoszcz University of Science and Technology, 85-796 Bydgoszcz, Poland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Oksana","family":"Hembara","sequence":"additional","affiliation":[{"name":"Karpenko Physico-Mechanical Institute, National Academy of Sciences of Ukraine, 79601 Lviv, Ukraine"},{"name":"Institute of Civil Engineering and Building Systems, Lviv Polytechnic National University, 79000 Lviv, Ukraine"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Olha","family":"Chepil","sequence":"additional","affiliation":[{"name":"Faculty of Civil and Environmental Engineering and Architecture, Bydgoszcz University of Science and Technology, 85-796 Bydgoszcz, Poland"},{"name":"Karpenko Physico-Mechanical Institute, National Academy of Sciences of Ukraine, 79601 Lviv, Ukraine"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mykhailo","family":"Hrynenko","sequence":"additional","affiliation":[{"name":"Karpenko Physico-Mechanical Institute, National Academy of Sciences of Ukraine, 79601 Lviv, Ukraine"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Taras","family":"Hembara","sequence":"additional","affiliation":[{"name":"The Edicational Scentific Institute of Civil Protection, Lviv State University of Life Safety, 79000 Lviv, Ukraine"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"943","DOI":"10.5006\/1958","article-title":"Hydrogen embrittlement of industrial components: Prediction, prevention, and models","volume":"72","author":"Djukic","year":"2016","journal-title":"Corrosion"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"21603","DOI":"10.1016\/j.ijhydene.2018.09.201","article-title":"Hydrogen embrittlement in different materials: A review","volume":"43","author":"Dwivedi","year":"2018","journal-title":"Int. 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