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: | , , , |
---|---|
Format: | Article |
Language: | Russian |
Published: |
Don State Technical University
2012-09-01
|
Series: | Advanced Engineering Research |
Subjects: | |
Online Access: | https://www.vestnik-donstu.ru/jour/article/view/607 |
id |
doaj-2487f7bdcaf64097a1611c6426e2555b |
---|---|
record_format |
Article |
spelling |
doaj-2487f7bdcaf64097a1611c6426e2555b2021-10-02T16:20:07ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532012-09-011256067600EQUILIBRIUM PLANAR CRACK WITH CONTOUR ANGULAR POINTS IN ELASTIC LAYERBoris V. Sobol0Elena V. Rashidova1Ekaterina V. Borisova2Olga P. Reshetnikova3Don State Technical University.Don State Technical University.Don State Technical University.Saratov State Technical University.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.https://www.vestnik-donstu.ru/jour/article/view/607crackcontourstress intensity factorlayersingular integral equationvariational methodfo rce fracture criterionsalient pointneighborhoodlayer relative thickness |
collection |
DOAJ |
language |
Russian |
format |
Article |
sources |
DOAJ |
author |
Boris V. Sobol Elena V. Rashidova Ekaterina V. Borisova Olga P. Reshetnikova |
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 crack contour stress intensity factor layer singular integral equation variational method fo rce fracture criterion salient point neighborhood layer relative thickness |
author_facet |
Boris V. Sobol Elena V. Rashidova Ekaterina V. Borisova Olga P. Reshetnikova |
author_sort |
Boris V. Sobol |
title |
EQUILIBRIUM PLANAR CRACK WITH CONTOUR ANGULAR POINTS IN ELASTIC LAYER |
title_short |
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_sort |
equilibrium planar crack with contour angular points in elastic layer |
publisher |
Don State Technical University |
series |
Advanced Engineering Research |
issn |
2687-1653 |
publishDate |
2012-09-01 |
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. |
topic |
crack contour stress intensity factor layer singular integral equation variational method fo rce fracture criterion salient point neighborhood layer relative thickness |
url |
https://www.vestnik-donstu.ru/jour/article/view/607 |
work_keys_str_mv |
AT borisvsobol equilibriumplanarcrackwithcontourangularpointsinelasticlayer AT elenavrashidova equilibriumplanarcrackwithcontourangularpointsinelasticlayer AT ekaterinavborisova equilibriumplanarcrackwithcontourangularpointsinelasticlayer AT olgapreshetnikova equilibriumplanarcrackwithcontourangularpointsinelasticlayer |
_version_ |
1716852632843190272 |