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Indentation on a transversely isotropic half-space of multiferroic composite medium with a circular contact region

Wu, F. ; Li, X.-Y. ; Chen, W.-Q. ; Kang, G.-Z. ; Müller, R. (2018)
Indentation on a transversely isotropic half-space of multiferroic composite medium with a circular contact region.
In: International Journal of Engineering Science, 123
doi: 10.1016/j.ijengsci.2017.11.013
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

The present paper concerns the contact problem in the context of elasticity of multiferroic composite media. The substrate under consideration is a half-space which is made of magneto-electro-elastic material with transverse isotropy. The magneto-electric properties of the indenter are comprehensively taken into account. The integral equations for four cases are established by means of the general solution and the generalized potential theory method. The corresponding fundamental magneto-electro-elastic field variables in the substrate, which are caused by the generalized indentation displacements following the Dirac-delta distribution in the contact area, are explicitly and exactly obtained in terms of elementary functions. Based on the present fundamental solutions, a general theory of indentation, where the profile of the indenter may be expanded as a Taylor series, is developed. Furthermore, by applying the results of a general theory, two classical concave indenters (conical and parabolic) are considered. Concept of effective penetration depth is proposed for concave indenters. Numerical calculations are carried out in order for various purposes, including validation of the present solutions, demonstration of the coupling effects in multi-phases of the composite medium and effect of the geometry of the indenter on contact behaviors.

Typ des Eintrags: Artikel
Erschienen: 2018
Autor(en): Wu, F. ; Li, X.-Y. ; Chen, W.-Q. ; Kang, G.-Z. ; Müller, R.
Art des Eintrags: Bibliographie
Titel: Indentation on a transversely isotropic half-space of multiferroic composite medium with a circular contact region
Sprache: Englisch
Publikationsjahr: Februar 2018
Verlag: Elsevier
Titel der Zeitschrift, Zeitung oder Schriftenreihe: International Journal of Engineering Science
Jahrgang/Volume einer Zeitschrift: 123
DOI: 10.1016/j.ijengsci.2017.11.013
URL / URN: https://www.sciencedirect.com/science/article/pii/S002072251...
Kurzbeschreibung (Abstract):

The present paper concerns the contact problem in the context of elasticity of multiferroic composite media. The substrate under consideration is a half-space which is made of magneto-electro-elastic material with transverse isotropy. The magneto-electric properties of the indenter are comprehensively taken into account. The integral equations for four cases are established by means of the general solution and the generalized potential theory method. The corresponding fundamental magneto-electro-elastic field variables in the substrate, which are caused by the generalized indentation displacements following the Dirac-delta distribution in the contact area, are explicitly and exactly obtained in terms of elementary functions. Based on the present fundamental solutions, a general theory of indentation, where the profile of the indenter may be expanded as a Taylor series, is developed. Furthermore, by applying the results of a general theory, two classical concave indenters (conical and parabolic) are considered. Concept of effective penetration depth is proposed for concave indenters. Numerical calculations are carried out in order for various purposes, including validation of the present solutions, demonstration of the coupling effects in multi-phases of the composite medium and effect of the geometry of the indenter on contact behaviors.

Freie Schlagworte: Circular contact region, Concave indenter, Contact problem, Continuous profile, Fundamental solution, Multiferroic composite media
Fachbereich(e)/-gebiet(e): 13 Fachbereich Bau- und Umweltingenieurwissenschaften
13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik
13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Kontinuumsmechanik
Hinterlegungsdatum: 04 Mai 2022 13:36
Letzte Änderung: 04 Mai 2022 13:36
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