Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
In the paper the brief review of the important results of nonlinear fracture mechanics recently obtained by the asymptotic methods and perturbation techniques is given. The asymptotic solutions of the whole class of crack problems are discussed. Applications of the asymptotic analysis for crack prob...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2013-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20851/17110 |
| _version_ | 1818024588001411072 |
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| author | Larisa V Stepanova Ekaterina M Adylina |
| author_facet | Larisa V Stepanova Ekaterina M Adylina |
| author_sort | Larisa V Stepanova |
| collection | DOAJ |
| description | In the paper the brief review of the important results of nonlinear fracture mechanics recently obtained by the asymptotic methods and perturbation techniques is given. The asymptotic solutions of the whole class of crack problems are discussed. Applications of the asymptotic analysis for crack problems of nonlinear fracture mechanics such that crack tip fields in damaged medium, fatigue crack growth problems in damaged medium, nonlinear eigenvalue problems arising from fracture mechanics analysis, nonlinear eigenvalue analysis including higher order terms are elucidated. |
| first_indexed | 2024-12-10T04:02:36Z |
| format | Article |
| id | doaj.art-81fee2d6f0b54d6b9bbee5044fafb1a5 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T04:02:36Z |
| publishDate | 2013-06-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-81fee2d6f0b54d6b9bbee5044fafb1a52022-12-22T02:02:57ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-06-0117215616818268Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectivesLarisa V Stepanova0Ekaterina M Adylina1Samara State UniversitySamara State UniversityIn the paper the brief review of the important results of nonlinear fracture mechanics recently obtained by the asymptotic methods and perturbation techniques is given. The asymptotic solutions of the whole class of crack problems are discussed. Applications of the asymptotic analysis for crack problems of nonlinear fracture mechanics such that crack tip fields in damaged medium, fatigue crack growth problems in damaged medium, nonlinear eigenvalue problems arising from fracture mechanics analysis, nonlinear eigenvalue analysis including higher order terms are elucidated.https://journals.eco-vector.com/1991-8615/article/viewFile/20851/17110asymptotic methodsnonlinear fracture mechanicscrack tip stress fieldnonlinear eigenvalue problems |
| spellingShingle | Larisa V Stepanova Ekaterina M Adylina Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki asymptotic methods nonlinear fracture mechanics crack tip stress field nonlinear eigenvalue problems |
| title | Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives |
| title_full | Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives |
| title_fullStr | Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives |
| title_full_unstemmed | Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives |
| title_short | Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives |
| title_sort | asymptotic methods of nonlinear fracture mechanics results contemporary state and perspectives |
| topic | asymptotic methods nonlinear fracture mechanics crack tip stress field nonlinear eigenvalue problems |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20851/17110 |
| work_keys_str_mv | AT larisavstepanova asymptoticmethodsofnonlinearfracturemechanicsresultscontemporarystateandperspectives AT ekaterinamadylina asymptoticmethodsofnonlinearfracturemechanicsresultscontemporarystateandperspectives |