Journal
SURFACE & COATINGS TECHNOLOGY
Volume 200, Issue 18-19, Pages 5259-5267Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.surfcoat.2005.06.018
Keywords
coating; internal stress measurement; curvature method; Stoney's formula; large displacement; geometrical nonlinearity
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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 b(2)/hR (b, h and R are the sample width, thickness and curvature, respectively) is established. Hence, it is shown that the geometrical criterion b(2)'/hR < alpha ensures an arbitrarily low influence of geometrical nonlinear effects, thereby allowing correct use of Stoney's formulae. (c) 2005 Elsevier B.V. All rights reserved.
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