https://scholars.lib.ntu.edu.tw/handle/123456789/424919
Title: | Thermal stresses in elastic multilayer systems | Authors: | CHUN-HWAY HSUEH | Keywords: | Elastic properties;Gallium arsenide;Multilayers;Stress | Issue Date: | 2002 | Journal Volume: | 418 | Journal Issue: | 2 | Start page/Pages: | 182-188 | Source: | Thin Solid Films | Abstract: | 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. ? 2002 Elsevier Science B.V. All rights reserved. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/424919 | ISSN: | 00406090 | DOI: | 10.1016/S0040-6090(02)00699-5 |
Appears in Collections: | 材料科學與工程學系 |
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