Determination of the Anand Parameters for SAC405 Solders through the Use of Stress-Strain Data

• Published in: Journal of Advanced Research in Applied Mechanics
• Main Author: Rizaman M.S.A.; Abdullah A.S.; Yamin A.F.M.
• Format: Article
• Language: English
• Published: Semarak Ilmu Publishing 2024
• Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85183885231&doi=10.37934%2faram.113.1.162175&partnerID=40&md5=6990250024bd6bc9cd5aa09275c19327

The Anand inelastic constitutive model is commonly employed to depict the deformation behaviour of solders in electronics components. In the Anand model, plasticity and creep are coupled and described by the same set of flow and evolution relations. Literature study reveals that researchers have calculated varying values for the Anand model parameters when describing different SAC solders. Using Anand's constitutive model for SAC405 (95.5Sn-4.0Ag-0.5Cu) lead-free solder, the theoretical equations for the solder's uniaxial stress-strain response were obtained in this paper. The steps to obtain the parameters of Anand model using stress-strain were also determined. Data on uniaxial stress and strain at various temperatures (T = 298 K (25 °C), 323 K (50 °C), 348 K (75 °C), 373 K (100 °C), and 398 K (125 °C)) and strain rates (ε̇ = 1 × 10-3 sec-1, 1 × 10-4 sec-1, and 1 × 10-4 sec-1) was used to calculate the Anand parameters. The Anand model's accuracy (goodness of fit) with the retrieved parameters was assessed by comparing the model's findings to the observed stress-strain data. The Anand model consistently generated good predictions of the empirical data in all cases, across a wide range of temperatures and stress-strain levels. The goodness of fit values obtained were 0.992, 0.983 and 0.982 for strain rate 1 × 10-3 sec-1, 1 × 10-4 sec-1 and 1 × 10-5 sec-1 respectively. © 2024, Semarak Ilmu Publishing. All rights reserved.