Simulation of uniaxial tensile properties for lead-free solders with modified Anand model

Abstract The uniaxial tensile inelastic deformation behavior for three types of lead-free solders, Sn–3Ag–0.5Cu, Sn–3.5Ag and Sn–0.7Cu, were simulated by a unified viscoplastic constitutive model, the Anand model. To obtain the material parameters for the Anand model, a series of constant true strain rate and temperature tests were conducted on three types of lead-free solders at various strain rates from 1 × 10 −4  s −1 to 1 × 10 −2  s −1 , over a wide temperature range from 25 °C to 150 °C. A modified Anand model, in which h 0 was set to a function of strain rate, was proposed. The comparison of the experimental and simulated results showed that the modified Anand model improved the simulation capability.

[1]  W. J. Plumbridge,et al.  Solders in electronics , 1996, Journal of Materials Science.

[2]  Xu Chen,et al.  Prediction of stress-strain relationship with an improved Anand constitutive Model For lead-free solder Sn-3.5Ag , 2005, IEEE Transactions on Components and Packaging Technologies.

[3]  L. Anand Constitutive equations for hot-working of metals , 1985 .

[4]  S. V. Harren,et al.  On the Constitutive Response of 63/37 Sn/Pb Eutectic Solder , 1996 .

[5]  J. Wilde,et al.  Applying Anand Model to Represent the Viscoplastic Deformation Behavior of Solder Alloys , 2001 .

[6]  K. Tu,et al.  Six cases of reliability study of Pb-free solder joints in electronic packaging technology , 2002 .

[7]  L. Anand,et al.  An internal variable constitutive model for hot working of metals , 1989 .

[8]  Nikhilesh Chawla,et al.  Effects of cooling rate on the microstructure and tensile behavior of a Sn-3.5wt.%Ag solder , 2003 .

[9]  Wen-Tai Chen,et al.  Effect of Cu concentration on the interfacial reactions between Ni and Sn–Cu solders , 2002 .

[10]  M. Otsuka,et al.  Effect of bismuth on the isothermal fatigue properties of Sn-3.5mass%Ag solder alloy , 1998 .

[11]  M. Thoben,et al.  Rate dependent constitutive relations based on Anand model for 92.5Pb5Sn2.5Ag solder , 2000 .

[12]  Wei Zhou,et al.  A New Creep Constitutive Model for Eutectic Solder Alloy , 2002 .

[13]  Xu Chen,et al.  Cyclic stress–strain relationship of 63Sn37Pb solder under biaxial proportional and non-proportional loading , 2007 .

[14]  Toshio Narita,et al.  The effect of strain rate and temperature on the tensile properties of Sn–3.5Ag solder , 2005 .

[15]  Sinn-wen Chen,et al.  Mechanical properties and intermetallic compound formation at the Sn/Ni and Sn-0.7wt.%Cu/Ni joints , 2003 .

[16]  Sungho Jin,et al.  New Pb‐free solder alloy with superior mechanical properties , 1993 .

[17]  E. Busso,et al.  A Visco-Plastic Constitutive Model for 60/40 Tin-Lead Solder Used in IC Package Joints , 1992 .