scholarly journals Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals

2007 ◽  
Vol 203 (1) ◽  
pp. 103-124 ◽  
Author(s):  
David Elliott ◽  
Peter R. Johnston
Keyword(s):  
Error Analysis ◽  
Boundary Element ◽  
Singular Boundary

Numerical Simulation of Delamination in IC Packages Using a New Variable-Order Singular Boundary Element

2003 ◽  
Vol 125 (4) ◽  
pp. 569-575 ◽  
Author(s):  
A. A. O. Tay ◽  
K. H. Lee ◽  
K. M. Lim
Keyword(s):  
Boundary Element ◽  
Crack Tip ◽  
Defect Size ◽  
Variable Order ◽  
Singular Boundary ◽  
Mode Mixity ◽  
Accurate Analysis ◽  
Interfacial Delamination ◽  
Interface Toughness ◽  
Delamination Propagation

Delamination of interfaces in integrated circuit (IC) packages gives rise to electrical and mechanical failures such as popcorn cracking. Hence it is important to be able to analyze the mechanics of delamination from small interfacial defects which may exist at interfaces due to contamination or random factors. This paper describes the mechanics of interfacial delamination and the application of the boundary element method to analyze delamination propagation at interfaces. Now, a crack tip at an interface between two materials has an order of singularity which is a function of the material properties. For an accurate analysis, a special variable-order singular boundary element has been developed and used. The effect of defect size and location along the pad-encapsulant interface on interfacial delamination has been studied. It was found that the energy release rate or stress intensity factor increases with defect size as well as proximity to the pad corner. This implies that when a small delamination near a pad corner delaminates the crack tip nearer the pad corner will propagate first. The analysis has also shown that this delamination, once started, will continue until the crack tip reaches the pad corner. If the variation of interface toughness as a function of mode mixity is known, the delamination propagation behavior can be determined. Depending on the shape of the curve describing the variation of interface toughness with mode mixity, the delamination growth can either be stable, catastrophic, or initially unstable followed by stable growth.

Sign in / Sign up

Export Citation Format

Share Document