Modelling of a shear-type piezoelectric actuator for AFM-based vibration-assisted nanomachining

Xue, Bo, Brousseau, Emmanuel ORCID: https://orcid.org/0000-0003-2728-3189 and Bowen, Chris 2023. Modelling of a shear-type piezoelectric actuator for AFM-based vibration-assisted nanomachining. International Journal of Mechanical Sciences 243 , 108048. 10.1016/j.ijmecsci.2022.108048

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Abstract

Recent research investigations have reported the benefit of enhancing conventional AFM-based nanoscale machining operations by the introduction of high frequency vibrations between the AFM tip and the processed material. The technique relies on piezoelectric actuation and is relatively straight forward to implement in practice. However, the non-linearity of piezoelectric actuators when operated under high electric field and frequency conditions can affect the dimensional accuracy of the fabricated nanostructures. To address these issues, the paper reports a method based on coupled mechanical-electrical Finite Element (FE) modelling to predict the relative motion between an AFM tip and a workpiece for vibration-assisted AFM-based nanomachining applications. In particular, the novelty of the proposed method is that it combines two classical approaches for modelling the nonlinear behaviour of piezoelectric materials. More specifically, two sources of non-linearity are considered simultaneously by combining the field-dependant model from Muller and Zhang with the frequency-dependant model from Damjanovic. The resulting combined model is employed to establish the piezoelectric constitutive equations implemented in the developed coupled field FE model. A further distinguishing characteristic of the work is that the proposed approach was subsequently validated by comparing the predicted widths of nanoscale grooves against those machined with a custom AFM-based vibration-assisted nanomachining configuration.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Publisher:	Elsevier
ISSN:	1879-2162
Funders:	EPSRC
Date of First Compliant Deposit:	16 December 2022
Date of Acceptance:	15 December 2022
Last Modified:	14 Jun 2023 19:05
URI:	https://orca.cardiff.ac.uk/id/eprint/154992

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