학술논문
An alternative model for elastic bending deformation of multilayered beams.
Document Type
Article
Author
Source
Subject
*BENDING stresses
*DEFORMATIONS (Mechanics)
*ELASTIC solids
*PROTECTIVE coatings
*MULTILAYERED thin films
*THICKNESS measurement
*ERROR analysis in mathematics
*STRAINS & stresses (Mechanics)
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Language
ISSN
0021-8979
Abstract
An exact closed-form solution for elastic deformation of multilayered beams due to residual stresses and external bending is derived in terms of the normal strain at the centroidal principal axis and the curvature radius of the neutral axis for zero normal strain. Two approximate models for the case of multilayered films on a thick substrate are obtained. For a bilayered beam, the exact solution can be expressed in terms of the mismatch stress between the film and the substrate, the thickness ratio, and the modulus ratio. The reduction error analysis for the two approximations is applied. [ABSTRACT FROM AUTHOR]