循环过程中损伤累积对SAC305力学行为的影响

M. A. Haq, M. A. Hoque, G. R. Mazumder, J. Suhling, P. Lall
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Monotonic stress-strain and creep tests were subsequently conducted on the prior cycled samples to characterize the change in mechanical behavior occurring in the solder due to damage accumulation. Using the data from these tests, we have been able to characterize and quantify the cycling induced damage through the observed degradations of several mechanical properties (initial elastic modulus, ultimate tensile strength, yield stress, and creep strain rate) with the amount of prior cycling. All of the mechanical cyclic testing in our prior work were performed for a single applied level of cyclic strain = +/- 0.01 (single level of damage per cycle), which corresponded to a hysteresis loop area (energy dissipated per cycle) during room temperature cycling of SAC305 of ΔW = 1.2 MJ/m3.In the current work, we have extended the experimental work in our prior studies on SAC305 to examine several levels of damage during cycling, as well as several cycling temperatures. Material behaviors of the pre-cycled solder were characterized for the various damage levels per cycle and durations of cycling. One goal of this investigation was to identify a damage parameter that can be used to predict the observed material property degradations occurring during cyclic loading of solder irrespective of the way that the damage is accumulated. The total energy dissipation occurring in the solder during cycling was found to correlate well with the evolution of mechanical properties, independent of the damage level applied during each cycle.In the experimental testing, small uniaxial cylindrical samples of SAC305 solder were prepared and reflowed in a reflow oven. These specimens were then mechanically cycled under several different sets of conditions to induce various levels of damage in the samples. In particular, four levels of initial damage per cycle were considered (ΔW = 0.25, 0.50, 0.75 and 1.00 MJ/m3), as well as three cycling temperatures (T = 25, 100, and 125 °C). For each of these damage levels per cycle, various durations of cycling were applied (e.g. 0, 50, 100, 200, 300, 600, and 1200 cycles). This test matrix generated a large set of prior damaged samples, where the damage had been accumulated at different rates (different damage amounts per cycle), different cycling temperatures, and for different durations. In this paper, results obtained for isothermal mechanical cycling at 25°C will be presented in detail, as well as limited results for cycling at 100 °C.Mechanical stress-strain testing was then performed on the prior damaged samples. This allowed us to study the degradations of the constitutive behavior of the solder alloy that occurred due to the various conditions that induced the damage. In particular, the degradations of the initial elastic modulus, ultimate tensile strength, and yield stress with duration of mechanical cycling were evaluated and plotted versus the duration of cycling for the various prior applied levels of damage per cycle. Exponential empirical models were found to fit the material property degradations well for any one set of conditions. More importantly, it was found that the total energy dissipation that had occurred in the sample (sum of ΔW for all cycles) could be used as a governing failure variable independent of the damage level applied during each cycle. In particular, all of the material property data for a selected property and cycling temperature were modeled well using a single degradation curve independent of that rate the damage was accumulated. By considering the degradation curves for each cycling temperature, values of a temperature dependent damage parameter can be identified that can be used in thermal cycling simulations. 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引用次数: 2

摘要

在波动的温度环境中,由于循环机械应力和应变,电子封装中的焊点经常经历疲劳失效。焊料的这种循环加载是由热膨胀系数的不匹配引起的,并导致损伤的积累,从而导致裂纹的产生、裂纹的扩展,并最终导致失效。在我们之前的论文中,我们研究了几种无铅焊料(SAC305、SAC+Bi和SAC+Bi- ni - sb)在室温(25℃)和高温(100℃)下机械循环过程中的损伤积累。首先将圆形截面焊料试样回流,然后使用微机械测试仪对这些样品进行不同时间的机械循环。随后对先前循环的样品进行单调应力-应变和蠕变试验,以表征由于损伤积累而发生在焊料中的机械行为的变化。利用这些试验的数据,我们已经能够通过观察到的几种机械性能(初始弹性模量、极限抗拉强度、屈服应力和蠕变应变率)随先前循环次数的下降,来表征和量化循环引起的损伤。在我们之前的工作中,所有的机械循环测试都是在循环应变= +/- 0.01(单周期损伤水平)的单一施加水平下进行的,这对应于SAC305 (ΔW = 1.2 MJ/m3)室温循环时的滞回环面积(每周期耗散的能量)。在目前的工作中,我们扩展了之前对SAC305研究的实验工作,以检查循环过程中的几个损伤水平,以及几个循环温度。预循环焊料的材料行为表征了每个循环的不同损伤程度和循环的持续时间。该研究的一个目标是确定一个损伤参数,该参数可用于预测在焊料循环加载期间发生的观察到的材料性能退化,而不管损伤是如何累积的。发现循环过程中焊料的总能量耗散与机械性能的演变密切相关,而与每次循环过程中施加的损伤水平无关。在实验测试中,制备了SAC305小单轴圆柱形焊料样品,并在回流炉中回流。然后,这些试样在几种不同的条件下进行机械循环,以引起试样中不同程度的损伤。特别是,每个循环考虑了四个级别的初始损伤(ΔW = 0.25, 0.50, 0.75和1.00 MJ/m3),以及三个循环温度(T = 25, 100和125°C)。对于每个循环的这些损伤级别,应用不同的循环持续时间(例如0,50,100,200,300,600和1200循环)。该测试矩阵生成了大量先前损坏的样本,其中损坏以不同的速率(每个循环的损坏量不同)、不同的循环温度和不同的持续时间累积。在本文中,将详细介绍25°C等温机械循环的结果,以及100°C循环的有限结果。然后对先前损坏的样品进行机械应力应变测试。这使我们能够研究由于引起损伤的各种条件而发生的焊料合金本构行为的退化。特别是,对初始弹性模量、极限抗拉强度和屈服应力随机械循环时间的退化进行了评估,并与每个循环的各种先前应用的损伤水平的循环时间进行了对比。发现指数经验模型可以很好地拟合任何一组条件下的材料性能退化。更重要的是,我们发现,在样品中发生的总能量耗散(所有循环的和ΔW)可以作为一个独立于每个循环中应用的损伤水平的控制失效变量。特别的是,所有的材料性能数据的一个选定的性能和循环温度,使用单一的降解曲线独立的速率累积损伤建模很好。通过考虑每个循环温度下的退化曲线,可以确定与温度相关的损伤参数值,该参数可用于热循环模拟。利用这项研究的结果,我们正在努力为受可变温度应用的无铅焊料制定更好的疲劳标准。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Evolution of SAC305 Mechanical Behavior Due to Damage Accumulation During Cycling
Solder joints in electronic packages often experience fatigue failures due to cyclic mechanical stresses and strains in fluctuating temperature environments. This cyclic loading of the solder is induced by mismatches in coefficients of thermal expansion and leads to damage accumulation that contributes to crack initiation, crack propagation, and eventually to failure. In our previous papers, we have investigated the accumulation of damage in several lead free solder materials (SAC305, SAC+Bi, and SAC+Bi-Ni-Sb) during mechanical cycling at room temperature (25 C) and elevated temperature (100 C). Circular cross-section solder specimens were first reflowed, and these samples were then mechanically cycled for various durations using a Micro-Mechanical tester. Monotonic stress-strain and creep tests were subsequently conducted on the prior cycled samples to characterize the change in mechanical behavior occurring in the solder due to damage accumulation. Using the data from these tests, we have been able to characterize and quantify the cycling induced damage through the observed degradations of several mechanical properties (initial elastic modulus, ultimate tensile strength, yield stress, and creep strain rate) with the amount of prior cycling. All of the mechanical cyclic testing in our prior work were performed for a single applied level of cyclic strain = +/- 0.01 (single level of damage per cycle), which corresponded to a hysteresis loop area (energy dissipated per cycle) during room temperature cycling of SAC305 of ΔW = 1.2 MJ/m3.In the current work, we have extended the experimental work in our prior studies on SAC305 to examine several levels of damage during cycling, as well as several cycling temperatures. Material behaviors of the pre-cycled solder were characterized for the various damage levels per cycle and durations of cycling. One goal of this investigation was to identify a damage parameter that can be used to predict the observed material property degradations occurring during cyclic loading of solder irrespective of the way that the damage is accumulated. The total energy dissipation occurring in the solder during cycling was found to correlate well with the evolution of mechanical properties, independent of the damage level applied during each cycle.In the experimental testing, small uniaxial cylindrical samples of SAC305 solder were prepared and reflowed in a reflow oven. These specimens were then mechanically cycled under several different sets of conditions to induce various levels of damage in the samples. In particular, four levels of initial damage per cycle were considered (ΔW = 0.25, 0.50, 0.75 and 1.00 MJ/m3), as well as three cycling temperatures (T = 25, 100, and 125 °C). For each of these damage levels per cycle, various durations of cycling were applied (e.g. 0, 50, 100, 200, 300, 600, and 1200 cycles). This test matrix generated a large set of prior damaged samples, where the damage had been accumulated at different rates (different damage amounts per cycle), different cycling temperatures, and for different durations. In this paper, results obtained for isothermal mechanical cycling at 25°C will be presented in detail, as well as limited results for cycling at 100 °C.Mechanical stress-strain testing was then performed on the prior damaged samples. This allowed us to study the degradations of the constitutive behavior of the solder alloy that occurred due to the various conditions that induced the damage. In particular, the degradations of the initial elastic modulus, ultimate tensile strength, and yield stress with duration of mechanical cycling were evaluated and plotted versus the duration of cycling for the various prior applied levels of damage per cycle. Exponential empirical models were found to fit the material property degradations well for any one set of conditions. More importantly, it was found that the total energy dissipation that had occurred in the sample (sum of ΔW for all cycles) could be used as a governing failure variable independent of the damage level applied during each cycle. In particular, all of the material property data for a selected property and cycling temperature were modeled well using a single degradation curve independent of that rate the damage was accumulated. By considering the degradation curves for each cycling temperature, values of a temperature dependent damage parameter can be identified that can be used in thermal cycling simulations. Using the results of this study, we are working to develop better fatigue criteria for lead free solders that are subjected to variable temperature applications.
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