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Thermodynamic Formulation of Endochronic Cyclic Viscoplasticity With Damage- Application to Eutectic Sn/Pb Solder Alloy

Published online by Cambridge University Press:  05 May 2011

C. F. Lee  and
Y. C. Chen
C. F. Lee*
Affiliation:
Dept. Eng. Science College of Eng, Nat. Cheng-Kung Univ, Tainan, Taiwan 70101, R.O.C.
Y. C. Chen*
Affiliation:
Engineering Div. TSMC, Sinshih, Tainan County, Taiwan 74147, R.O.C.
*
*Professor
**Engineer
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Abstract

In this paper, an endochronic theory of cyclic viscoplasticy with damage is established based on the irreversible thermodynamics of continuous media with internal state variables containing an isotropic damage parameter. The constitutive equations derived have the same mathematical form as those of convectional endochronic theory without damage, except the effective stress with damage is used. This result coincides with the Lemaitre's statements of stain equivalence principle.

Using the experimental cyclic stress-strain curves of 63Sn/37Pb solder bars, corrected from the uniaxially constant displacement amplitude cyclic tests under MTS Tytron microtester, the computational results of cyclic stess-strain curves with several degrees of damage can reproduce the experimental data quite well. Based on compressive buckling appeared in the vicinity of the compressive end parts of the hysteresis loop, the critical values of damage are determined between 0.3 and 0.4.

The evolution equation of damage proposed in terms of the intrinsic damage time scale and its results in the modified Coffin-Manson LCF law can be extended in the future research for a statistical theory of life distribution under low cycle fatigue tests.

Keywords

Endochronic cyclic viscoplasticity with damageEutectic Sn/Pb solderEvolution equation of cyclic damageIntrinsic damage time scaleCritical damage valueModified Coffin-Manson LCF law with Damage.
Type
Articles
Information
Journal of Mechanics , Volume 23 , Issue 4 , December 2007 , pp. 433 - 444
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2007

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