Channeling cracks in low-k dielectrics have been observed to be a key reliability issue for advanced interconnects. The constraint effect of surrounding materials including stacked buffer layers has been studied. This paper analyzes the effect of interfacial delamination on the fracture condition of brittle thin films on elastic substrates. It is found that stable delamination along with the gr...

Naturally, deformed rocks commonly contain crack arrays (joints) forming patterns with systematic relationships to the large-scale deformation. Kinematically, joints can be mode-1, -2 or -3 or combinations of these, but there is no overarching theory for the development of the patterns. We develop a model motivated by dislocation pattern formation in metals. The problem is formulated in one dim...

Abstract Hydraulic fracturing is a popular method used in the petroleum industry to increase well performance by improving permeability of reservoir. However, while there has been extensive research on development length fracture, fractured height frequently assumed be equal reservoir thickness. The objective this paper study influence formation rock characteristics and impact underground stres...