CHUN-HWAY HSUEH2019-09-252019-09-25200200406090https://scholars.lib.ntu.edu.tw/handle/123456789/424919Thermal 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.Elastic propertiesGallium arsenideMultilayersStressjournal article10.1016/S0040-6090(02)00699-52-s2.0-0037109227https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0037109227&doi=10.1016%2fS0040-6090%2802%2900699-5&partnerID=40&md5=1aa2497fc9341e4acaa83dacb2b4c914