1990
DOI: 10.1088/0957-0233/1/7/024
|View full text |Cite
|
Sign up to set email alerts
|

Young's modulus of thin films using a simplified vibrating reed method

Abstract: A simplified vibration technique for the determination of Young's modulus for a wide variety of thin films and coatings is presented. Some representative data on chromium and copper films is reported.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

1
11
0

Year Published

1993
1993
2020
2020

Publication Types

Select...
9

Relationship

0
9

Authors

Journals

citations
Cited by 19 publications
(12 citation statements)
references
References 9 publications
1
11
0
Order By: Relevance
“…Moreover, there is no sufficient data for these values for cryogenic temperatures. The Young's modulus for Chromium thin films Y Cr varies from 90 GPa [32,33] to 240 GPa [33,34] with Y Cr ≈ 170 GPa being the most appropriated value in our case [32]. As for deposited Gold, Y Au ≈ 75 GPa is a convergent value [33,35,36].…”
Section: Discussionmentioning
confidence: 77%
“…Moreover, there is no sufficient data for these values for cryogenic temperatures. The Young's modulus for Chromium thin films Y Cr varies from 90 GPa [32,33] to 240 GPa [33,34] with Y Cr ≈ 170 GPa being the most appropriated value in our case [32]. As for deposited Gold, Y Au ≈ 75 GPa is a convergent value [33,35,36].…”
Section: Discussionmentioning
confidence: 77%
“…180 GPa 91 instead of 280 GPa 92 for bulk chromium. Whiting and Angadi 93 showed that the Young’s modulus increases from ~240 to ~260 GPa over a chromium thickness range of 85–300 nm. This trend follows the model given by Sun and Zhang 94 which predicts a significant fall in the value of Young’s modulus under a critical thickness value.…”
Section: Resultsmentioning
confidence: 99%
“…For example, in the case of bilayer coatings, Whiting et al [26,27] and Harms et al [28] employed the so called "vibration reed" method, which allows the computation of the elastic modulus of one layer of the coating from the shift in natural frequency of the beam without and with the second layer.…”
Section: Introductionmentioning
confidence: 99%
“…More recently, López-Puerto and co-workers [31] were able to extend the methodology proposed by Whiting et al [26,27] and Harms et al [28], to the analysis of multilayer coatings by developing an integral approach, which allows the computation of the elastic modulus of a single layer in a multilayered system in cantilever configuration, by measuring the natural frequency of the complete multilayered cantilever beam. These authors were able to verify the accuracy of the model by comparing the predicted values of the fundamental frequency with those predicted by a three dimensional finite element model of laminated cantilever beams for systems of three layers composed of two dissimilar metallic films, with thicknesses less than 250 nm, deposited onto a polymeric substrate.…”
Section: Introductionmentioning
confidence: 99%