The whole-life uniaxial ratcheting behavior of sintered nano-scale silver paste


Nano-scale silver paste materials make one of the highly used thermal interface material today owing to its thermal, electrical and mechanical properties. Although good results have been obtained in most of the research work done on nano-scale silver plates concerning their structural preparations, properties, and sintering processes, little have been however exposed about the ratcheting behaviors of such materials. Ratcheting behavior in material occurs when the materials are affected by the accumulation of inelastic deformation after being subjected to high enough cyclic stress with non-zero mean stress. Therefore, understanding of the whole-life ratcheting deformation behavior in nano-scale pastes is necessary as it can help in predicting fatigue failures in such materials.

Research work done by Professor Gang Chen and his graduate student Xiaochen Zhao at Tianjin University, School of Chemical Engineering ang Technology in China, proposed a model for simulating temperature-dependent and the whole-life ratcheting behaviors in nano-scale silver paste materials. The developed module comprised of a damaged variable visco-plastic coupled together with a temperature-dependent component. Their work is published in the research journal, Microelectronics Reliability.

Briefly, the authors based their study on the principle that for sintered silver plates under monotonic and cyclic loading.,For instance, the strength of the sintered silver paste film is inversely proportional to its temperature and increases with a decrease in the temperature. The deformation of sintered silver filmsunder cyclic loading can be as well represented as a decrease in their elastic modulus. Non-kinematic hardening rule devised earlier by Ohno-Wang, and Armstrong Fredrick was employed in the construction of the model for investigating the whole-life ratcheting behaviors in the materials. Besides, they determined the parameters of the developed model which they, in turn, used to simulate the ratchetingretching behaviors for the various loading conditions. Eventually, the authors successfully observed that developed model could be used to adequately simulate the whole-life ratcheting behaviors of materials especially for sintered nano-scale silver pastes.The accuracy of the results was affirmed by the agreement between the simulation results and the available experimental data.

According to Professor Gang and MrZhao, the evolution of the damage caused in the sintered silver plate material is profoundly affected by the decrease in the unloading elastic modulus for every loading cycle, and the accumulated damage rule could be distinguished into three phases that are, the shortest initial stage, a more stable secondary stage and lastly a tertiary stage which signifies the end of the evolution of the damage. As a result, a function was used to describe the damaged evolution during the experiment because it has a high physical clarity. In a bid to accurately predict the temperature-dependent ratcheting behavior of the sintered platepaste material, it was a good idea to modify the damage-coupled model by using Arrhenius Power law for the cases of flow rule hence enhancing its capability of predicting monotonic tensile and whole-life ratcheting behaviors of the silver paste material under various loading and temperature conditions.

Constitutive modelling on the whole-life uniaxial ratcheting behavior of sintered nano-scale silver paste . Advances in Engineering

About the author

Gang Chen received the Ph.D. degree in Chemical Process Machinery from Tianjin University, China, in 2006. His main research field is mechanical behavior of materials, low cycle fatigue, creep, creep-fatigue, finite element analysis and constitutive modeling for electronic and conventional structural materials. He has published over 80 papers in SCI journals and been cited more than 1000 times in SCI database. His H-index is 19 based on web of science.

Dr. Chen now an editor of Green Energy and Environment, International Journal of Mechanics and Design, and a guest editor of Advances in Mechanical Engineering, and Energies. Dr. Chen is aslo a Fellow of Fatigue Institution, Chinese Materials Research Society. Dr. Chen has been awarded as “New Century Excellent Talents in University”, Ministry of Education of China, in 2013, “Young Excellent Technological Innovation Talents”, Tianjin Government of China, in 2014.

About the author

Xiaochen Zhao, graduated from Northwest University China in 2015 with a bachelor’s degree in engineering. At present, he is pursuing for master’s degree in Tianjin University of China with the major of chemical process machinery.

His research interests are reliability of electronic packaging, computational solid mechanics, constitutive model and finite element analysis. So far, he has published two SCI indexed articles, namely “A critical review of constitutive models for solders in electronic packaging” and “Constitutive modelling on the whole-life uniaxial ratcheting behavior of sintered nano-scale silver paste at room and high temperatures”. The two papers focused on the constitutive models, which play an important role on predicting the reliability of electronic packaging.



Chen, G., & Zhao, X. (2018). Constitutive modelling on the whole-life uniaxial ratcheting behavior of sintered nano-scale silver paste at room and high temperatures. . Microelectronics Reliability, 80, 47-54.

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