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Predicting Crack Initiation of Solder Joints with Varying Sizes Under Bending

  • Sadegh Mirmehdi
  • Gholam Hossein Farrahi
  • Amir NouraniEmail author
  • Farid Soroosh
Article
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Abstract

The critical strain energy release rate for crack initiation, Jci, was measured under mode I loading for SAC305 solder joints between two copper substrates. Fracture tests were performed using double cantilever beam specimens at a strain rate of 0.03 s−1. Different bond-line widths (i.e., joint size in the out-of-plane dimension) and thicknesses, were examined. The fracture force per unit width and Jci (the average value of four J-integral contours encircling the crack tip) were relatively insensitive to the width of the joint ranging from 8 mm to 21 mm. Variations in bond-line thickness (i.e., 150 μm, 250 μm and 450 μm) also had an insignificant influence on the fracture energy of solder joints. This behavior was explained in terms of stress distribution, crack-tip plastic zone area and triaxiality factor produced in the solder layer. Crack initiation in the specimens was then predicted using Jci as a property. Finally, a cohesive zone model was developed using a single set of parameters that was successfully used to predict the fracture loads of the joints with different sizes.

Keywords

Solder joint joint width joint thickness fracture critical strain energy release rate constraint 

List of Symbols

E

Young’s modulus

F

Applied force on the specimen

Fci

Fracture force of the specimen

Gth

Fatigue threshold strain energy release rate

Gci

Analytical critical strain energy release rate for crack initiation

Gcs

Analytical steady-state critical strain energy release rate

Jci

Elastic–plastic critical strain energy release rate for crack initiation

Jcs

Elastic–plastic steady state critical strain energy release rate

JIc

Critical mode I energy in cohesive region

KII

Mode II stress intensity factor

KI

Mode I stress intensity factor

Kn

Cohesive interface stiffness in normal direction

t

Solder joint thickness

w

Solder joint width

Greek Symbols

Ψ

Phase angle (mode ratio) of loading

ν

Poisson ratio

σn

Cohesive normal stress

σnc

Critical cohesive normal stress

δn

Cohesive normal displacement

σy

Opening stress

ɛy

Opening strain

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Notes

Acknowledgments

The research was supported by Iran’s National Elites Foundation. The authors would like to thank Prof. Farzam Farahmand, Mr. Behnam Gomari and Mr. Khodadad Azami for their advice and technical support.

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Copyright information

© The Minerals, Metals & Materials Society 2019

Authors and Affiliations

  • Sadegh Mirmehdi
    • 1
  • Gholam Hossein Farrahi
    • 1
  • Amir Nourani
    • 1
    Email author
  • Farid Soroosh
    • 1
  1. 1.Department of Mechanical EngineeringSharif University of TechnologyTehranIran

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