0
RESEARCH PAPERS

Constitutive Modeling on Time-Dependent Deformation Behavior of 96.5Sn3.5Ag Solder Alloy Under Cyclic Multiaxial Straining

[+] Author and Article Information
Xianjie Yang1

Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu, Sichuan 610031, P.R. Chinaxjyang64@yahoo.com

Yan Luo, Qing Gao

Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu, Sichuan 610031, P.R. China

1

Corresponding author.

J. Electron. Packag 129(1), 41-47 (May 18, 2006) (7 pages) doi:10.1115/1.2429708 History: Received September 02, 2005; Revised May 18, 2006

Based on the time dependent multiaxial deformation behavior of 96.5Sn3.5Ag solder alloy, a constitutive model is proposed which considers the nonproportional multiaxial cyclic deformation properties. In the back stress evolution equations of this model, the nonproportionality which affects the back stress evolution rate is introduced. The approach for the determination of model parameters is proposed. The model is used to describe the time-dependent cyclic deformation behavior of 96.5Sn3.5Ag solder alloy under cross, rectangular, rhombic, and double-triangular tensile–torsion multiaxial strain paths at different strain rates with different dwell time. The comparison between the predicted and experimental results demonstrates that the model can satisfactorily describe the time-dependent multiaxial cyclic deformation behavior under complicated nonproportional cyclic straining.

Copyright © 2007 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Schematic diagrams of the strain paths under the γ∕3−ε space; abscissa: ε; vertical coordinate: γ∕3

Grahic Jump Location
Figure 2

Schematic diagram for s, X, and ε̇

Grahic Jump Location
Figure 3

Experimental and predicted σ1–ε1 relations without φ modification under cross paths (circles for prediction, solid lines for experimental ones); abscissa: ε1; vertical coordinate: σ1 (MPa)

Grahic Jump Location
Figure 4

Experimental and predicted σ1–ε1 relations with the φ modification under cross paths (circles for prediction, solid lines for experimental ones); abscissa: ε1; vertical coordinate: σ1 (MPa)

Grahic Jump Location
Figure 5

Comparison between experimental and predicted stress trajectories in stress space under cross paths (circles for prediction, solid lines for experimental ones); abscissa: σ1 (MPa); vertical coordinate: σ3 (MPa)

Grahic Jump Location
Figure 6

Comparison between experimental and predicted σ1–t curves under cross paths (circles for prediction, solid lines for experimental ones); abscissa: time (s); vertical coordinate: σ1 (MPa)

Grahic Jump Location
Figure 7

Comparison between experimental and predicted σ3–t curves under cross paths (circles for prediction, solid lines for experimental ones); abscissa: time (s); vertical coordinate: σ3 (MPa)

Grahic Jump Location
Figure 8

Comparison between experimental and predicted stress trajectories in stress space under rectangular paths (circles for prediction, solid lines for experimental ones); abscissa: σ1 (MPa); vertical coordinate: σ3 (MPa)

Grahic Jump Location
Figure 9

Comparison between experimental and predicted σ1–t curves under rectangular paths (circles for prediction, solid lines for experimental ones); abscissa: time (s); vertical coordinate: σ1 (MPa)

Grahic Jump Location
Figure 10

Comparison between experimental and predicted σ3–t curves under rectangular paths (circles for prediction, solid lines for experimental ones); abscissa: time (s); vertical coordinate: σ3 (MPa)

Grahic Jump Location
Figure 11

Comparison between experimental and predicted stress trajectories in stress space under rhombic paths with dwell time (circles for prediction, solid lines for experimental ones); abscissa: σ1 (MPa); vertical coordinate: σ3 (MPa)

Grahic Jump Location
Figure 12

Comparison between experimental and predicted σ1–t curves under rhombic paths with dwell time (circles for prediction, solid lines for experimental ones); abscissa: time (s); vertical coordinate: σ1 (MPa)

Grahic Jump Location
Figure 13

Comparison between experimental and predicted σ3–t curves under rhombic paths with dwell time (circles for prediction, solid lines for experimental ones); abscissa: time (s); vertical coordinate: σ3 (MPa)

Grahic Jump Location
Figure 14

Experimental stress trajectories under double-triangular paths; abscissa: σ1 (MPa); vertical coordinate: σ3 (MPa)

Grahic Jump Location
Figure 15

Predicted stress trajectories under double-triangular paths; abscissa: σ1 (MPa); vertical coordinate: σ3 (MPa)

Grahic Jump Location
Figure 16

Comparison between experimental and predicted σ1–t curves under double-triangular paths (circles for prediction, solid lines for experimental ones); abscissa: time (s); vertical coordinate: σ1 (MPa)

Grahic Jump Location
Figure 17

Comparison between experimental and predicted σ3–t curves under double-triangular paths (circles for prediction, solid lines for experimental ones); abscissa: time (s); vertical coordinate: σ3 (MPa)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In