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Elastic Flexure of Bilayered Beams Subject to Strain Differentials



Tze J. Chuang, S K. Lee


The residual stresses present in a thin film and the curvatures formed at its substyrate during deposition have been a great concern to electrochemists and process engineers. Here a new hybrid analytical method is presented to reanalyze the flexural problem subjected to a strain differential in the general case. It was shown that the present solutions for ultrathin films agree with Stoney's equation. Moreover, single or dual neutral axes resulted, depending on materials and thickness rations between the film and the substrate. Quantitative differences with others in the solutions of deformed curvature and residual stress are discussed in a representative case of GaAs top coat/Si substrate wafers.
Journal of Materials Research
No. 12


bilayered beams, bilayered plates, elastic bending, inhomogeneous layered media, residual stress, semiconductor wafers, surface engineering, thermal expansion mismatch, two-phase composites


Chuang, T. and Lee, S. (2000), Elastic Flexure of Bilayered Beams Subject to Strain Differentials, Journal of Materials Research (Accessed May 18, 2024)


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Created December 1, 2000, Updated June 2, 2021