A continuum damage mechanics-based unified creep and plasticity model for solder materials

Yao Yao*, Xu He, Leon M. Keer, Morris E. Fine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

83 Scopus citations


A nonlinear continuum damage mechanics model is developed for both lead-rich and lead-free solder materials. A unified creep-plasticity constitutive relationship is adopted to simulate the inelastic behaviors; both isotropic and nonlinear kinematic hardening are considered. A traditional continuum damage evolution law is a function of actual damage parameter and effective accumulated plastic strain. In the current work, absolute temperature is introduced into the damage model to reflect the effect of temperature on the accumulated damage mechanism. The mechanical properties of solders, incorporating damage initiation and accumulation, were analyzed based on the model developed. Fatigue life under fully reversed cycling is investigated by monitoring the change in peak stresses, which decreases continuously, owing to damage accumulation. The numerical results were compared with experimental data. It was shown that the developed model can predict the whole damage accumulation process of different solder materials with reasonable accuracy.

Original languageEnglish (US)
Pages (from-to)160-168
Number of pages9
JournalActa Materialia
StatePublished - Jan 15 2015


  • Constitutive relationship
  • Creep
  • Damage
  • Plasticity
  • Solder materials

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Polymers and Plastics
  • Metals and Alloys


Dive into the research topics of 'A continuum damage mechanics-based unified creep and plasticity model for solder materials'. Together they form a unique fingerprint.

Cite this