An energy fracture criterion based on dissipative inequality
A new approach to obtaining the energy criterion for the fracture of a thermoelastic body with a growing crack has been put forward. The criterion is based directly on the first and second laws of thermodynamics. An analysis was restricted by brittle quasi-static fracture processes in the weakly non...
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Peter the Great St.Petersburg Polytechnic University
2024-12-01
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| Series: | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
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| Online Access: | https://physmath.spbstu.ru/article/2024.77.14/ |
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| author | Frolov Maxim Savikovskii Artem Semenov Artem |
| author_facet | Frolov Maxim Savikovskii Artem Semenov Artem |
| author_sort | Frolov Maxim |
| collection | DOAJ |
| description | A new approach to obtaining the energy criterion for the fracture of a thermoelastic body with a growing crack has been put forward. The criterion is based directly on the first and second laws of thermodynamics. An analysis was restricted by brittle quasi-static fracture processes in the weakly nonuniform temperature field (WNUTF). The Griffith conception of surface energy supplemented by the temperature dependence of this energy was used. No thermodynamic fluxes were shown to arise in the WNUTF, except for the rate of a growing crack. This result made it possible to extend the Griffith criterion to the nonisothermal case. The vectorial J-integral representing the energy flux vector at the crack tip was established to be the only fracture parameter for thermoelastic media with cracks. Different energy flux vector representation forms for cases of linear and nonlinear thermoelasticity were considered and discussed. |
| format | Article |
| id | doaj-art-43859879a0184711baaf4fe59c3aed69 |
| institution | Kabale University |
| issn | 2405-7223 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Peter the Great St.Petersburg Polytechnic University |
| record_format | Article |
| series | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
| spelling | doaj-art-43859879a0184711baaf4fe59c3aed692025-01-16T13:35:28ZengPeter the Great St.Petersburg Polytechnic UniversitySt. Petersburg Polytechnical University Journal: Physics and Mathematics2405-72232024-12-0117410.18721/JPM.1741420714726An energy fracture criterion based on dissipative inequalityFrolov Maxim0https://orcid.org/0009-0005-2924-9795Savikovskii Artem1https://orcid.org/0000-0003-1710-1943Semenov Artem2https://orcid.org/0000-0002-8225-3487Peter the Great St. Petersburg Polytechnic UniversityPeter the Great St. Petersburg Polytechnic UniversityPeter the Great St. Petersburg Polytechnic UniversityA new approach to obtaining the energy criterion for the fracture of a thermoelastic body with a growing crack has been put forward. The criterion is based directly on the first and second laws of thermodynamics. An analysis was restricted by brittle quasi-static fracture processes in the weakly nonuniform temperature field (WNUTF). The Griffith conception of surface energy supplemented by the temperature dependence of this energy was used. No thermodynamic fluxes were shown to arise in the WNUTF, except for the rate of a growing crack. This result made it possible to extend the Griffith criterion to the nonisothermal case. The vectorial J-integral representing the energy flux vector at the crack tip was established to be the only fracture parameter for thermoelastic media with cracks. Different energy flux vector representation forms for cases of linear and nonlinear thermoelasticity were considered and discussed.https://physmath.spbstu.ru/article/2024.77.14/brittle fracturethermomechanical loadingdissipative inequalityenergy fracture criterion |
| spellingShingle | Frolov Maxim Savikovskii Artem Semenov Artem An energy fracture criterion based on dissipative inequality St. Petersburg Polytechnical University Journal: Physics and Mathematics brittle fracture thermomechanical loading dissipative inequality energy fracture criterion |
| title | An energy fracture criterion based on dissipative inequality |
| title_full | An energy fracture criterion based on dissipative inequality |
| title_fullStr | An energy fracture criterion based on dissipative inequality |
| title_full_unstemmed | An energy fracture criterion based on dissipative inequality |
| title_short | An energy fracture criterion based on dissipative inequality |
| title_sort | energy fracture criterion based on dissipative inequality |
| topic | brittle fracture thermomechanical loading dissipative inequality energy fracture criterion |
| url | https://physmath.spbstu.ru/article/2024.77.14/ |
| work_keys_str_mv | AT frolovmaxim anenergyfracturecriterionbasedondissipativeinequality AT savikovskiiartem anenergyfracturecriterionbasedondissipativeinequality AT semenovartem anenergyfracturecriterionbasedondissipativeinequality AT frolovmaxim energyfracturecriterionbasedondissipativeinequality AT savikovskiiartem energyfracturecriterionbasedondissipativeinequality AT semenovartem energyfracturecriterionbasedondissipativeinequality |