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TECHNICAL PAPERS

Thermal Deformation of Initially Curved Substrates Coated by Thin Inhomogeneous Layers

[+] Author and Article Information
A. Wikström, P. Gudmundson

Department of Solid Mechanics, Royal Institute of Technology (KTH), SE-100 44 Stockholm, Sweden

J. Appl. Mech 68(2), 298-303 (Oct 19, 2000) (6 pages) doi:10.1115/1.1357169 History: Received March 08, 2000; Revised October 19, 2000
Copyright © 2001 by ASME
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References

Figures

Grahic Jump Location
Geometry of a substrate with spherical initial curvature. The curvilinear coordinate system is indicated.
Grahic Jump Location
The dimensionless displacement correction f̄=2wc/(a2αα1) as a function of dimensionless radius r/a for z0/h=0, 0.25, 0.5, 0.75, 1, 2, 3, 4, 5, 10, 100 and ν=0.262
Grahic Jump Location
The dimensionless radial curvature correction h̄2=2κrc/(Tβαα1) as a function of dimensionless radius r/a for z0/h=0, 0.25, 0.5, 0.75, 1, 2, 3, 4, 5, 10, 100 and ν=0.262
Grahic Jump Location
The dimensionless tangential curvature correction h̄1=2κφc /(Tβαα1) as a function of dimensionless radius r/a for z0/h=0, 0.25, 0.5, 0.75, 1, 2, 3, 4, 5, 10, 100 and ν=0.262
Grahic Jump Location
The function ḡ(η,z0/h,ν) (cf. Eqs. (46), (47)). The parameter z0/h denotes the initial curvature and η=0.00, 0.50, 0.85, 1.00 is the ratio between the scanning length and the substrate radius. An isotropic Si substrate with a Poisson’s ratio of 0.262 and a spherical initial curvature is considered.

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