Numerical modelling of nonlinear electromechanical coupling of an atomic force microscope with finite element method

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dc.identifier.uri http://dx.doi.org/10.15488/1586
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/1611
dc.contributor.author Freitag, J.
dc.contributor.author Mathis, Wolfgang
dc.date.accessioned 2017-05-31T11:16:23Z
dc.date.available 2017-05-31T11:16:23Z
dc.date.issued 2010
dc.identifier.citation Freitag, J.; Mathis, W.: Numerical modelling of nonlinear electromechanical coupling of an atomic force microscope with finite element method. In: Advances in Radio Science 8 (2010), S. 33-36. DOI: https://doi.org/10.5194/ars-8-33-2010
dc.description.abstract In this contribution, an atomic force microscope is modelled and in this context, a non-linear coupled 3-D-boundary value problem is solved numerically using the finite element method. The coupling of this system is done by using the Maxwell stress tensor. In general, an iterative weak coupling is used, where the two physical problems are solved separately. However, this method does not necessarily guarantee convergence of the nonlinear computation. Hence, this contribution shows the possibility of solving the multiphysical problem by a strong coupling, which is also referred to as monolithic approach. The electrostatic field and the mechanical displacements are calculated simultaneously by solving only one system of equation. Since the Maxwell stress tensor depends nonlinearly on the potential, the solution is solved iteratively by the Newton method. © 2010 Author(s). eng
dc.description.sponsorship DFG
dc.language.iso eng
dc.publisher Göttingen : Copernicus GmbH
dc.relation.ispartofseries Advances in Radio Science 8 (2010)
dc.rights CC BY 3.0
dc.rights.uri https://creativecommons.org/licenses/by/3.0/
dc.subject Maxwell stress tensors eng
dc.subject Mechanical displacements eng
dc.subject Monolithic approach eng
dc.subject Nonlinear computations eng
dc.subject Nonlinear electromechanical coupling eng
dc.subject Strong coupling eng
dc.subject System of equations eng
dc.subject Value problems eng
dc.subject Finite element method eng
dc.subject Newton-Raphson method eng
dc.subject Tensors eng
dc.subject Atomic force microscopy eng
dc.subject.ddc 621,3 | Elektrotechnik, Elektronik ger
dc.title Numerical modelling of nonlinear electromechanical coupling of an atomic force microscope with finite element method
dc.type article
dc.type Text
dc.relation.issn 1684-9965
dc.relation.doi https://doi.org/10.5194/ars-8-33-2010
dc.bibliographicCitation.volume 8
dc.bibliographicCitation.firstPage 33
dc.bibliographicCitation.lastPage 36
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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