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Application of thermoelastic lamination theory to predict warpage of a symmetric and simply supported printed wiring board during temperature cycling

机译:热弹性层压理论在温度循环期间预测对称的翘曲和简单地支撑印刷线路板的应用

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The applicability of classical laminated plate theory to the prediction of thermally induced warpage of a printed wiring board is examined in this study. A bare, four-layer printed wiring board without traces has been constructed. The temperature-dependent mechanical properties of the board core materials have been measured. Closed form solutions of the differential equations of equilibrium for the classical lamination theory description of the board are obtained to predict warpage. The model accounts for material property change with temperature, the board's support conditions, and thermal gradients through the board thickness to assess the role of each in the warpage process. The warpage results predicted by the model are then compared to those obtained experimentally, using the shadow-moire technique in a simulated infrared reflow environment, to assess the model's accuracy.
机译:本研究研究了经典层压板理论对热引起的热诱导的印刷线路板翘曲预测的适用性。已经构建了无迹线的裸露的四层印刷线路板。已经测量了板芯材料的温度依赖性机械性能。获得封闭形式的差动方程的差分方程,用于电路板的经典层压理论描述,以预测翘曲。模型用于材料性能随温度,电路板的支撑条件和通过电路板厚度的热梯度而变化,以评估各种翘曲过程中的作用。然后将模型预测的翘曲结果与通过模拟红外回流环境中的阴影 - 莫尔技术进行实验获得的翘曲结果,以评估模型的准确性。

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