حل بسته برای میدان‌های کشسانی حاصل از حرکت یک نابجایی پیچی دارای سرعت ثابت بر روی مسیری به شکل خط مستقیم با راستایی دلخواه
The present study aims to investigate the elastic fields induced due to the motion of a screw dislocation that moves along a linear path with an arbitrary direction in an infinitel...
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| Format: | Article |
| Language: | fas |
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Sharif University of Technology
2021-02-01
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| Series: | مهندسی عمران شریف |
| Subjects: | |
| Online Access: | https://sjce.journals.sharif.edu/article_21854_f4dfba45dbda4ec973fc880f2682db3b.pdf |
| _version_ | 1797738814906564608 |
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| author | M. R. Delfani |
| author_facet | M. R. Delfani |
| author_sort | M. R. Delfani |
| collection | DOAJ |
| description | The present study aims to investigate the elastic fields induced due to the motion of a screw dislocation that moves along a linear path with an arbitrary direction in an infinitely extended isotropic medium. This investigation was performed based on the assumption that the dislocation moves at a constant velocity less than the speed of shear waves in the medium. In the present analysis, from the viewpoint of micromechanics, the dislocation was described using the concept of eigenstrain. The expression of such an eigenstrain field includes a constant to be determined in the sequel of the analysis by applying the jump condition of the displacement on the slip plane of the dislocation. Following the representation of the governing field equations of the problem, a two-dimensional Fourier transform was utilized and then, the closed-form solutions were obtained for the displacement and elastic strain fields of the delineated problem, for the first time. Subsequently, two special cases of the problem, the one pertinent to the motion of the dislocation along its slip
plane and the other associated with its motion perpendicular to such plane were
addressed. The derived expressions showed that the strain field of the problem
has a singularity at the dislocation core. The obtained results demonstrated
that at different velocities and in different motion directions, the displacement field of the problem suffers from constant discontinuity on the slip plane of the dislocation. Moreover, it was shown that at distances far away from the slip plane of the dislocation, the components of the strain field vanish. The presented results, in addition, exhibited the effect of the direction of the motion of the dislocation and its velocity on the induced elastic fields. Specifically, it was shown that with an increase in the velocity of the dislocation, the magnitudes of the components of the induced strain field become larger. |
| first_indexed | 2024-03-12T13:48:16Z |
| format | Article |
| id | doaj.art-a3af4db9996e4057a9dc0fd1d6817663 |
| institution | Directory Open Access Journal |
| issn | 2676-4768 2676-4776 |
| language | fas |
| last_indexed | 2024-03-12T13:48:16Z |
| publishDate | 2021-02-01 |
| publisher | Sharif University of Technology |
| record_format | Article |
| series | مهندسی عمران شریف |
| spelling | doaj.art-a3af4db9996e4057a9dc0fd1d68176632023-08-23T07:50:55ZfasSharif University of Technologyمهندسی عمران شریف2676-47682676-47762021-02-0136.24.2738010.24200/j30.2020.54889.268121854حل بسته برای میدان‌های کشسانی حاصل از حرکت یک نابجایی پیچی دارای سرعت ثابت بر روی مسیری به شکل خط مستقیم با راستایی دلخواهM. R. Delfani0Dept. of Civil Engineering K. N. Toosi University of TechnologyThe present study aims to investigate the elastic fields induced due to the motion of a screw dislocation that moves along a linear path with an arbitrary direction in an infinitely extended isotropic medium. This investigation was performed based on the assumption that the dislocation moves at a constant velocity less than the speed of shear waves in the medium. In the present analysis, from the viewpoint of micromechanics, the dislocation was described using the concept of eigenstrain. The expression of such an eigenstrain field includes a constant to be determined in the sequel of the analysis by applying the jump condition of the displacement on the slip plane of the dislocation. Following the representation of the governing field equations of the problem, a two-dimensional Fourier transform was utilized and then, the closed-form solutions were obtained for the displacement and elastic strain fields of the delineated problem, for the first time. Subsequently, two special cases of the problem, the one pertinent to the motion of the dislocation along its slip plane and the other associated with its motion perpendicular to such plane were addressed. The derived expressions showed that the strain field of the problem has a singularity at the dislocation core. The obtained results demonstrated that at different velocities and in different motion directions, the displacement field of the problem suffers from constant discontinuity on the slip plane of the dislocation. Moreover, it was shown that at distances far away from the slip plane of the dislocation, the components of the strain field vanish. The presented results, in addition, exhibited the effect of the direction of the motion of the dislocation and its velocity on the induced elastic fields. Specifically, it was shown that with an increase in the velocity of the dislocation, the magnitudes of the components of the induced strain field become larger.https://sjce.journals.sharif.edu/article_21854_f4dfba45dbda4ec973fc880f2682db3b.pdfscrew dislocationelastic fielduniform motioneigenstrain |
| spellingShingle | M. R. Delfani حل بسته برای میدان‌های کشسانی حاصل از حرکت یک نابجایی پیچی دارای سرعت ثابت بر روی مسیری به شکل خط مستقیم با راستایی دلخواه مهندسی عمران شریف screw dislocation elastic field uniform motion eigenstrain |
| title | حل بسته برای میدان‌های کشسانی حاصل از حرکت یک نابجایی پیچی دارای سرعت ثابت بر روی مسیری به شکل خط مستقیم با راستایی دلخواه |
| title_full | حل بسته برای میدان‌های کشسانی حاصل از حرکت یک نابجایی پیچی دارای سرعت ثابت بر روی مسیری به شکل خط مستقیم با راستایی دلخواه |
| title_fullStr | حل بسته برای میدان‌های کشسانی حاصل از حرکت یک نابجایی پیچی دارای سرعت ثابت بر روی مسیری به شکل خط مستقیم با راستایی دلخواه |
| title_full_unstemmed | حل بسته برای میدان‌های کشسانی حاصل از حرکت یک نابجایی پیچی دارای سرعت ثابت بر روی مسیری به شکل خط مستقیم با راستایی دلخواه |
| title_short | حل بسته برای میدان‌های کشسانی حاصل از حرکت یک نابجایی پیچی دارای سرعت ثابت بر روی مسیری به شکل خط مستقیم با راستایی دلخواه |
| title_sort | حل بسته برای میدان‌های کشسانی حاصل از حرکت یک نابجایی پیچی دارای سرعت ثابت بر روی مسیری به شکل خط مستقیم با راستایی دلخواه |
| topic | screw dislocation elastic field uniform motion eigenstrain |
| url | https://sjce.journals.sharif.edu/article_21854_f4dfba45dbda4ec973fc880f2682db3b.pdf |
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