Sintered nano-silver paste, extensively utilized in electronic packaging technology, is crucial for evaluating the lifetime of electronic devices. In this paper, a fractional damage model is proposed to characterize ratcheting strain of nano-silver paste under cyclic loading. It can be achieved by incorporating a damage coefficient into the classical fractional model, which directly correlates the ratcheting strain with cyclic number. The power law damage coefficient describes well both the non-damage behavior within a limited number of cycles and the rapid increase of ratcheting strain at higher cyclic numbers. Furthermore, the effects of temperature or stress rate on ratcheting strain of sintered silver have been investigated to establish a quantitative relationship between parameters and loading conditions. It is also numerically validated by various experimental datasets. Ultimately, the damage coefficient is physically interpreted based on evolution of porosity.
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