{"title":"具有两个边缘裂纹的板的弹塑性断裂","authors":"N. S. Astapov, V. D. Kurguzov","doi":"10.1134/S0021894423030185","DOIUrl":null,"url":null,"abstract":"<p>The strength of a rectangular plate with two opening-mode (mode I) edge cracks was studied using the Neuber–Novozhilov approach and a modified Leonov–Panasyuk–Dugdale model with a nonzero prefracture zone. A coupled discrete-integral fracture criterion is used since the stress field in the vicinity of the crack tip has a singularity. The ultimate strain fracture criterion is satisfied at the real crack tip, and the normal stress criterion is satisfied at the model crack tip. The constitutive equations of the analytical model are analyzed. Simple formulas for the fracture load are derived for quasi-brittle and quasi-ductile fracture. Plate fracture curves are plotted for a plane stressed state.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"64 3","pages":"523 - 530"},"PeriodicalIF":0.5000,"publicationDate":"2023-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ELASTOPLASTIC FRACTURE OF A PLATE WITH TWO EDGE CRACKS\",\"authors\":\"N. S. Astapov, V. D. Kurguzov\",\"doi\":\"10.1134/S0021894423030185\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The strength of a rectangular plate with two opening-mode (mode I) edge cracks was studied using the Neuber–Novozhilov approach and a modified Leonov–Panasyuk–Dugdale model with a nonzero prefracture zone. A coupled discrete-integral fracture criterion is used since the stress field in the vicinity of the crack tip has a singularity. The ultimate strain fracture criterion is satisfied at the real crack tip, and the normal stress criterion is satisfied at the model crack tip. The constitutive equations of the analytical model are analyzed. Simple formulas for the fracture load are derived for quasi-brittle and quasi-ductile fracture. Plate fracture curves are plotted for a plane stressed state.</p>\",\"PeriodicalId\":608,\"journal\":{\"name\":\"Journal of Applied Mechanics and Technical Physics\",\"volume\":\"64 3\",\"pages\":\"523 - 530\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-08-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Mechanics and Technical Physics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0021894423030185\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mechanics and Technical Physics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0021894423030185","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
ELASTOPLASTIC FRACTURE OF A PLATE WITH TWO EDGE CRACKS
The strength of a rectangular plate with two opening-mode (mode I) edge cracks was studied using the Neuber–Novozhilov approach and a modified Leonov–Panasyuk–Dugdale model with a nonzero prefracture zone. A coupled discrete-integral fracture criterion is used since the stress field in the vicinity of the crack tip has a singularity. The ultimate strain fracture criterion is satisfied at the real crack tip, and the normal stress criterion is satisfied at the model crack tip. The constitutive equations of the analytical model are analyzed. Simple formulas for the fracture load are derived for quasi-brittle and quasi-ductile fracture. Plate fracture curves are plotted for a plane stressed state.
期刊介绍：
Journal of Applied Mechanics and Technical Physics is a journal published in collaboration with the Siberian Branch of the Russian Academy of Sciences. The Journal presents papers on fluid mechanics and applied physics. Each issue contains valuable contributions on hypersonic flows; boundary layer theory; turbulence and hydrodynamic stability; free boundary flows; plasma physics; shock waves; explosives and detonation processes; combustion theory; multiphase flows; heat and mass transfer; composite materials and thermal properties of new materials, plasticity, creep, and failure.
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