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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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 243; no. 1; pp. 85 - 100
Main Authors Kuz’menko, V. I., Plashenko, S. O.
Format Journal Article
LanguageEnglish
Published New York Springer US 04.11.2019
Springer
Springer Nature B.V
Subjects
Analysis
Exact solutions
Magnetic fields
Mathematical analysis
Mathematics
Mathematics and Statistics
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Summary: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