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Mixed boundary value problem of potential theory in toroidal coordinates

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Publication:809660
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DOI10.1007/BF00944766zbMath0733.73017MaRDI QIDQ809660

Valery I. Fabrikant

Publication date: 1991

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)


zbMATH Keywords

closed formnon-axisymmetric problems


Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Dynamical problems in solid mechanics (74H99) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Elastic materials (74B99)


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Theoretical analysis of two collinear cracks in an orthotropic solid under linear thermal flux and linear mechanical load



Cites Work

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  • On the potential flow through membranes
  • Electrostatic problem of several arbitrarily charged unequal coaxial disks
  • A New Approach to Some Problems in Potential Theory
  • Closed form solution to some mixed boundary value problems for a charged sphere
  • Mixed Problems of Potential Theory in Spherical Coordinates
  • Potential of several arbitrarily located disks
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