Coupled Problems of Contact Interaction

Coupled Problems of Contact Interaction

We pose and study a class of contact problems on the inverse influence of deformation on the action of forces applied to a die. The problems are formulated in the form of an operator equation for displacements and rotations of the die. The analytic solutions for two- and three-dimensional coupled pr...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-11, Vol.243 (1), p.85-100
Hauptverfasser: Kuz’menko, V. I., Plashenko, S. O.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Exact solutions
Magnetic fields
Mathematical analysis
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We pose and study a class of contact problems on the inverse influence of deformation on the action of forces applied to a die. The problems are formulated in the form of an operator equation for displacements and rotations of the die. The analytic solutions for two- and three-dimensional coupled problems are obtained in the case where the die suffers the action of gravitational and magnetic fields.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04528-y