Thermal stresses in elastic multilayer systems
Thermal stresses in elastic multilayer systems
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DOI：
10.1016/s0040-6090(02)00699-5
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发表时间：
2002-10-15
期刊：
影响因子：
2.1
通讯作者：
Hsueh, CH
中科院分区：
文献类型：
--
作者：
Hsueh, CH
在弹性多层系统中的热应力先前已被建模。然而，由于层之间的界面处的位移协调条件必须得到满足，在获得一个封闭的形式的解决方案的复杂性与系统中的层数增加。因此，现有的分析往往采用简化（例如，假设一个恒定的弹性模量在整个系统），以获得封闭形式的解决方案，或通过计算机数值求解。本研究开发了一个分析模型，在该模型中，在获得一个封闭形式的解决方案的复杂性是独立的层数和精确的封闭形式的解决方案，可以简明地制定。具体结果计算的弹性热应力在（AlGa）As激光二极管，其中包括五个层。此外，零阶和一阶近似制定的精确封闭形式的解决方案的基础上，并检查其精度。在现有的分析中，假设一个恒定的弹性模量在系统中的可接受性进行了讨论。(C)2002 Elsevier Science B.V保留所有权利。
Thermal stresses in elastic multilayer systems have been previously modelled. However, because the displacement compatibility condition at interfaces between layers must be satisfied, the complexity in obtaining a closed-form solution increases with the number of layers in the system. As a result, existing analyses often adopt simplifications (e.g. assuming a constant elastic modulus throughout the system) to obtain closed-form solutions or are solved numerically by computer. The present study develops an analytical model, in which the complexity in obtaining a closed-form solution is independent of the number of layers and an exact closed-form solution can be concisely formulated. Specific results are calculated for elastic thermal stresses in (AlGa)As laser diodes, which consist of five layers. Also, the zero-order and the first-order approximations are formulated based on the exact closed-form solution, and their accuracy is examined. The acceptability of assuming a constant elastic modulus in the system in existing analyses is also discussed. (C) 2002 Elsevier Science B.V All rights reserved.