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A variable-order fractional model of tensile and shear behaviors for sintered nano-silver paste used in high power electronics
Mechanics of Materials ( IF 3.9 ) Pub Date : 2020-06-01 , DOI: 10.1016/j.mechmat.2020.103391
Wei Cai , Ping Wang , Jiajie Fan

Abstract Next generation power electronics demand not only miniaturization and integration, but also higher power and harsher operation conditions. However, the conventional lead-free solders can't meet these requirements. Sintering of nano-silver paste has already become one of popular substitutes, as it can achieve low temperature packaging and high temperature operation. The mechanical performance of sintered nano-silver paste is of great importance for its applications in high power electronics. In this study, a variable-order fractional constitutive model is adopted to characterize tensile behaviors of sintered nano-silver paste at different strain rates and ambient temperatures. A comparative study with the well-known Anand model is conducted to present the advantages of the proposed model with simpler formulation, higher accuracy and fewer parameters. The fractional order is also found to well indicate the evolution of mechanical properties along with varying strain rates or temperatures. Furthermore, the model is firstly extended to describe shear experimental data at different temperatures, especially those with strain softening stages. All simulation results reveal that the variable-order fractional model is an effective tool in characterizing both tensile and shear behaviors and demonstrating the evolution of mechanical properties.

中文翻译:

用于大功率电子器件的烧结纳米银浆拉伸和剪切行为的变阶分数模型

摘要 下一代电力电子不仅要求小型化和集成化,而且要求更高的功率和更恶劣的运行条件。然而,传统的无铅焊料无法满足这些要求。纳米银浆烧结已经成为流行的替代品之一,因为它可以实现低温封装和高温操作。烧结纳米银浆的机械性能对其在高功率电子产品中的应用具有重要意义。在本研究中,采用变阶分数本构模型来表征烧结纳米银浆在不同应变率和环境温度下的拉伸行为。与著名的 Anand 模型进行比较研究,以更简单的公式展示所提出模型的优点,更高的精度和更少的参数。还发现分数阶可以很好地表明机械性能随应变速率或温度的变化而演变。此外,该模型首先扩展到描述不同温度下的剪切实验数据,特别是那些具有应变软化阶段的剪切实验数据。所有模拟结果表明,变阶分数模型是表征拉伸和剪切行为以及展示机械性能演变的有效工具。
更新日期:2020-06-01
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