EQUILIBRIUM PLANAR CRACK WITH CONTOUR ANGULAR POINTS IN ELASTIC LAYER
The three - dimensional static problem of the elasticity theory on the elastic layer balance weakened by a flat rectangular crack is considered. The crack is located in the median la yer plane; it is su p ported open under the normal loading applied to its edges. The layer edges are under the smooth...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | Russian |
| Published: |
Don State Technical University
2012-09-01
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| Series: | Advanced Engineering Research |
| Subjects: | |
| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/607 |
| _version_ | 1797881343740215296 |
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| author | Boris V. Sobol Elena V. Rashidova Ekaterina V. Borisova Olga P. Reshetnikova |
| author_facet | Boris V. Sobol Elena V. Rashidova Ekaterina V. Borisova Olga P. Reshetnikova |
| author_sort | Boris V. Sobol |
| collection | DOAJ |
| description | The three - dimensional static problem of the elasticity theory on the elastic layer balance weakened by a flat rectangular crack is considered. The crack is located in the median la yer plane; it is su p ported open under the normal loading applied to its edges. The layer edges are under the smooth contact with two rigid bases. The problem is converted to the solution of the known singular i n tegro - differential equation concerning the cr ack opening function through the application of two - dimensional integral Fourier transformation to the equilibrium equation. The equation solution is constructed by the direct variational method. In neighborhood of the contour angular points, the sol ution completes the co n struction numerically, with regard for the early distinguished singularity. Values of the direct str ess intensity factor in neighborhood of the crack periphery are obtained. The solution behavioral features in neig hborhood of the contour r ectilinear sites and angular points are esta b lished. |
| first_indexed | 2024-04-10T03:17:29Z |
| format | Article |
| id | doaj.art-2487f7bdcaf64097a1611c6426e2555b |
| institution | Directory Open Access Journal |
| issn | 2687-1653 |
| language | Russian |
| last_indexed | 2024-04-10T03:17:29Z |
| publishDate | 2012-09-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj.art-2487f7bdcaf64097a1611c6426e2555b2023-03-13T07:31:27ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532012-09-011256067600EQUILIBRIUM PLANAR CRACK WITH CONTOUR ANGULAR POINTS IN ELASTIC LAYERBoris V. Sobol0Elena V. Rashidova1Ekaterina V. Borisova2Olga P. Reshetnikova3Донской государственный технический университетДонской государственный технический университетДонской государственный технический университетДонской государственный технический университетThe three - dimensional static problem of the elasticity theory on the elastic layer balance weakened by a flat rectangular crack is considered. The crack is located in the median la yer plane; it is su p ported open under the normal loading applied to its edges. The layer edges are under the smooth contact with two rigid bases. The problem is converted to the solution of the known singular i n tegro - differential equation concerning the cr ack opening function through the application of two - dimensional integral Fourier transformation to the equilibrium equation. The equation solution is constructed by the direct variational method. In neighborhood of the contour angular points, the sol ution completes the co n struction numerically, with regard for the early distinguished singularity. Values of the direct str ess intensity factor in neighborhood of the crack periphery are obtained. The solution behavioral features in neig hborhood of the contour r ectilinear sites and angular points are esta b lished.https://www.vestnik-donstu.ru/jour/article/view/607трещинаконтуркоэффициент интенсивности напряженийслойсингулярное инт егральное уравнениевариационный методсиловой критерий разрушенияугловая точкаокрестностьотносительная толщина слоя |
| spellingShingle | Boris V. Sobol Elena V. Rashidova Ekaterina V. Borisova Olga P. Reshetnikova EQUILIBRIUM PLANAR CRACK WITH CONTOUR ANGULAR POINTS IN ELASTIC LAYER Advanced Engineering Research трещина контур коэффициент интенсивности напряжений слой сингулярное инт егральное уравнение вариационный метод силовой критерий разрушения угловая точка окрестность относительная толщина слоя |
| title | EQUILIBRIUM PLANAR CRACK WITH CONTOUR ANGULAR POINTS IN ELASTIC LAYER |
| title_full | EQUILIBRIUM PLANAR CRACK WITH CONTOUR ANGULAR POINTS IN ELASTIC LAYER |
| title_fullStr | EQUILIBRIUM PLANAR CRACK WITH CONTOUR ANGULAR POINTS IN ELASTIC LAYER |
| title_full_unstemmed | EQUILIBRIUM PLANAR CRACK WITH CONTOUR ANGULAR POINTS IN ELASTIC LAYER |
| title_short | EQUILIBRIUM PLANAR CRACK WITH CONTOUR ANGULAR POINTS IN ELASTIC LAYER |
| title_sort | equilibrium planar crack with contour angular points in elastic layer |
| topic | трещина контур коэффициент интенсивности напряжений слой сингулярное инт егральное уравнение вариационный метод силовой критерий разрушения угловая точка окрестность относительная толщина слоя |
| url | https://www.vestnik-donstu.ru/jour/article/view/607 |
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