Mathematical simulation and solution of the problem of cracking under coatings in elastic bodies

被引:0
|
作者
Kit, HS
Khai, MV
Hrylyts'kyi, MD
机构
[1] Ukrainian Acad Sci, Pidstryhach Inst Appl Problems Mech & Math, Lvov, Ukraine
[2] Dnepropetrovsk State Tech Univ Railway Transport, Lviv Dept, Lvov, Ukraine
关键词
Mathematical Model; Structural Material; Elastic Body; Mathematical Simulation; Opposite Face;
D O I
10.1007/BF02355621
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We propose a mathematical model for the description of the stress-strain state of a body with coating in the presence of a crack located on their interface. In this model, we take into account the correlations between all types of strains in the coating and in the body. We deduce integro-differential equations with integration over the region covered by the crack for the determination of the jump of displacements on its opposite faces. This approach enables one to evaluate both the concentration of stresses in the vicinity of the crack and the degree of buckling of the coating caused by the opening displacement of the crack faces.
引用
收藏
页码:315 / 322
页数:8
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