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Equivalent Beam vs. Solid-3D Results for PBGA

The Net Shear Displacements of The Solder by Equivalent Beam Approach

The Net Shear Displacements of The Solder by Full 3-D Model

The Error Norm in Percentage

The CPU Time of Two Approaches (CRAY/Jadi, ABAQUS)

CSML

4.6676E-04(mm) 1.0285E-03 1.3238E-03

9.7547E-04 1.3291E-03 1.5178E-03

1.1339E-03 1.3191E-03 1.4588E-03

4.7427E-04(mm) 1.0689E-03 1.3700E-03

1.0383E-03 1.4247E-03 1.5821E-03

1.1445E-03 1.3385E-03 1.4768E-03

1.584% 3.77% 3.373%

6.050% 6.713% 4.064%

0.931% 1.457% 1.220%

Full-Scaled Model Equivalent Method

CPU Time (sec.) 81,074 6,740