Adhesive Layer Effects on Interfacial Crack Tip Asymptotic Fields

Author(s):  
Timothy C. Miller
2011 ◽  
Vol 217-218 ◽  
pp. 1314-1318
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Peng Zhang ◽  
Jun Feng Liu

The higher order discontinuous asymptotic fields which are similar to the Williams’ solutions of homogenous material are obtained by the displacement method and asymptotic analysis for a plane crack at the physical weak-discontinuous interface in non-homogeneous materials. The results provide a theoretical basis for the numerical analysis, experimental investigation and the engineering application of physical weak-discontinuous fracture.


2010 ◽  
Vol 97-101 ◽  
pp. 1223-1226
Author(s):  
Jun Lin Li ◽  
Shao Qin Zhang

The problem of orthotropic composite materials semi-infinite interfacial crack was studied, by constructing new stress functions and employing the method of composite material complex. In the case that the secular equations’ discriminates the and theoretical solutions to the stress fields and the displacement fields near semi-infinite interface crack tip without oscillation and inter-embedding between the interfaces of the crack are obtained, a comparison with finite element example was done to verify the correction of theoretical solution.


2014 ◽  
Vol 1015 ◽  
pp. 97-100
Author(s):  
Yao Dai ◽  
Xiao Chong ◽  
Ying Chen

The higher order crack-tip fields for an anti-plane crack situated in the interface between functionally graded piezoelectric materials (FGPMs) and homogeneous piezoelectric materials (HPMs) are presented. The mechanical and electrical properties of the FGPMs are assumed to be linear functions of y perpendicular to the crack. The crack surfaces are supposed to be insulated electrically. By using the method of eigen-expansion, the higher order stress and electric displacement crack tip fields for FGPMs and HPMs are obtained. The analytic expressions of the stress intensity factors and the electric displacement intensity factors are derived.


Author(s):  
Михаил Натанович Перельмутер

Для прямолинейной трещины со связями в концевой области на границе соединения материалов получены выражения для расчета раскрытия трещины вне зоны, занятой связями, и напряжений за вершиной трещины. Рассматривается действие однородных - нормальной и сдвиговой - внешних нагрузок. Размер концевой области трещины не полагается малым по сравнению с длиной трещины. Выполнено сопоставление с результатами, полученными методом граничных элементов. For a straight interfacial crack with bridged zone the expressions for calculating the opening of the crack outside of the bridged zone and stresses ahead of the crack tip are obtained. The action of uniform normal and shear external loads is considered. The size of the crack bridged zone is not considered small compared with the length of the whole crack. A comparison with the results obtained by the boundary element method is presented.


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