The paper shows the methods for determination of border conditions in transferring for the limited sphere in the problem of stressed deformed condition of multilayer pavement with single vertical crack. With the purpose of the increase for the density of finite element grid in the close approximation to the top of a single crack the problem is solved for two stages. For the first stage the whole sphere has been considered, which consists of multilayer pavement on the ground foundation. The investigated sphere contains single vertical crack, located in the bottom part of the structural layer the third from the above. Then from the obtained solution the sphere of limited sizes has been cut imaginatively, which contains the crack, allowing application of smaller finite element breakdown in it, and the results of the first stage for the solution has been used as the border conditions for the limited sphere. Meanwhile, the method of piecewise nonlinear interpolation has been used during interpolation of horizontal transferring for side boundaries due to their high gradients. For example, to interpolate the horizontal transferring of the right boundary for the limited sphere the interpolation sphere had to be divided into 5 segments, where the polynoms of the 1st, 2nd and 3rd orders have been used. To interpolate the transferring of left boundary of the limited sphere the similar polynoms, multiplied to (-1) will be used. Quadratic eight-node solid elements have been used to investigate the flat deformed condition of pavement structure with the crack under the impact of single automobile wheel. By means of the method for problem solving regarding the stressed-deformed condition of the multilayer pavement with the single vertical crack one can: - study in details the regularities for the variation of stresses and deformations in the close approximation from the crack edge and crack tip; - using the data regarding the stresses evaluate the strength characteristics of the pavement structure by the stress intensity coefficients and (or) J-integrals, which allows prediction for the possibility of further crack extension.
TO RECORDING OF CRACKS AVAILABILITY IN EVALUATION OF STRESS-DEFORMED PAVEMENT CONDITION / Teltayev, Bagdat; Aitbayev, Koblanbek; Tileu, Kurmangazy. - In: M. TYNYSPAEV ATYNDAGY K̦AZAK̦ KOLIK ZANE KOMMUNIKACIÂLAR AKADEMIASYNYN̦ HABARSYSY. - ISSN 1609-1817. - 2:105(2018), pp. 188-197.
TO RECORDING OF CRACKS AVAILABILITY IN EVALUATION OF STRESS-DEFORMED PAVEMENT CONDITION
Tileu Kurmangazy
2018
Abstract
The paper shows the methods for determination of border conditions in transferring for the limited sphere in the problem of stressed deformed condition of multilayer pavement with single vertical crack. With the purpose of the increase for the density of finite element grid in the close approximation to the top of a single crack the problem is solved for two stages. For the first stage the whole sphere has been considered, which consists of multilayer pavement on the ground foundation. The investigated sphere contains single vertical crack, located in the bottom part of the structural layer the third from the above. Then from the obtained solution the sphere of limited sizes has been cut imaginatively, which contains the crack, allowing application of smaller finite element breakdown in it, and the results of the first stage for the solution has been used as the border conditions for the limited sphere. Meanwhile, the method of piecewise nonlinear interpolation has been used during interpolation of horizontal transferring for side boundaries due to their high gradients. For example, to interpolate the horizontal transferring of the right boundary for the limited sphere the interpolation sphere had to be divided into 5 segments, where the polynoms of the 1st, 2nd and 3rd orders have been used. To interpolate the transferring of left boundary of the limited sphere the similar polynoms, multiplied to (-1) will be used. Quadratic eight-node solid elements have been used to investigate the flat deformed condition of pavement structure with the crack under the impact of single automobile wheel. By means of the method for problem solving regarding the stressed-deformed condition of the multilayer pavement with the single vertical crack one can: - study in details the regularities for the variation of stresses and deformations in the close approximation from the crack edge and crack tip; - using the data regarding the stresses evaluate the strength characteristics of the pavement structure by the stress intensity coefficients and (or) J-integrals, which allows prediction for the possibility of further crack extension.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
