A simple technique to determine the anisotropy of Young's modulus of single crystal silicon using coupled micro-cantilevers

This paper reports on a simple technique to measure the anisotropy of the Young's modulus of single crystal silicon using a coupled cantilever structure fabricated in the silicon. We demonstrate that it is possible to determine the Young's modulus of five silicon micro-cantilevers, whose o...

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Main Authors: Boyd, E, Choubey, B, Armstrong, I, Uttamchandani, D
Format: Journal article
Language:English
Published: 2012
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author Boyd, E
Choubey, B
Armstrong, I
Uttamchandani, D
author_facet Boyd, E
Choubey, B
Armstrong, I
Uttamchandani, D
author_sort Boyd, E
collection OXFORD
description This paper reports on a simple technique to measure the anisotropy of the Young's modulus of single crystal silicon using a coupled cantilever structure fabricated in the silicon. We demonstrate that it is possible to determine the Young's modulus of five silicon micro-cantilevers, whose orientations range from 30Υ to 55Υ to the wafer flat, by measuring the resonance frequencies of just one single cantilever of the coupled structure in a " perturbed" and "unperturbed" state. In this work the perturbation of the coupled system was achieved by shortening one of the cantilevers using focused ion beam milling. The resulting Young's modulus values from this experiment agree very well with the theoretical values with a difference of less than 2.5%. © 2012 IEEE.
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spelling oxford-uuid:1cf51f61-4e92-4b46-a497-442d7942a1dd2022-03-26T11:08:17ZA simple technique to determine the anisotropy of Young's modulus of single crystal silicon using coupled micro-cantileversJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1cf51f61-4e92-4b46-a497-442d7942a1ddEnglishSymplectic Elements at Oxford2012Boyd, EChoubey, BArmstrong, IUttamchandani, DThis paper reports on a simple technique to measure the anisotropy of the Young's modulus of single crystal silicon using a coupled cantilever structure fabricated in the silicon. We demonstrate that it is possible to determine the Young's modulus of five silicon micro-cantilevers, whose orientations range from 30Υ to 55Υ to the wafer flat, by measuring the resonance frequencies of just one single cantilever of the coupled structure in a " perturbed" and "unperturbed" state. In this work the perturbation of the coupled system was achieved by shortening one of the cantilevers using focused ion beam milling. The resulting Young's modulus values from this experiment agree very well with the theoretical values with a difference of less than 2.5%. © 2012 IEEE.
spellingShingle Boyd, E
Choubey, B
Armstrong, I
Uttamchandani, D
A simple technique to determine the anisotropy of Young's modulus of single crystal silicon using coupled micro-cantilevers
title A simple technique to determine the anisotropy of Young's modulus of single crystal silicon using coupled micro-cantilevers
title_full A simple technique to determine the anisotropy of Young's modulus of single crystal silicon using coupled micro-cantilevers
title_fullStr A simple technique to determine the anisotropy of Young's modulus of single crystal silicon using coupled micro-cantilevers
title_full_unstemmed A simple technique to determine the anisotropy of Young's modulus of single crystal silicon using coupled micro-cantilevers
title_short A simple technique to determine the anisotropy of Young's modulus of single crystal silicon using coupled micro-cantilevers
title_sort simple technique to determine the anisotropy of young s modulus of single crystal silicon using coupled micro cantilevers
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