Coating internal stress measurement through the curvature method: A geometry-based criterion delimiting the relevance of Stoney's formula

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• 作者：André ; Mé ; zin
• 关键词：Coating ; Internal stress measurement ; Curvature method ; Stoney's formula ; Large displacement ; Geometrical nonlinearity
• 刊名：Surface and Coatings Technology
• 出版年：2006
• 出版时间：8 May 2006
• 年：2006
• 卷：200
• 期：18-19
• 页码：5259-5267
• 全文大小：228 K

文摘

The measurement of internal stresses in coatings through the curvature (or bending) method involves a theoretical formula which connects the internal stress with the experimentally measured sample curvature. The linear Stoney's formulae, which are the most commonly used, may be inadequate owing to nonlinear effects resulting from large displacements. In this paper, considering the case of a rectangular plate, the role of the different parameters controlling the geometrical nonlinear effects is first examined, and then the one-to-one mapping that exists between the degree of nonlinearity and the parameter b²/hR (b, h and R are the sample width, thickness and curvature, respectively) is established. Hence, it is shown that the geometrical criterion b²/hR < α ensures an arbitrarily low influence of geometrical nonlinear effects, thereby allowing correct use of Stoney's formulae.