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Exact solution of the displacement boundary‐value problem of elasticity for a spindle
Author(s) -
Zabarankin Michail Yu.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20000801478
Subject(s) - mathematical analysis , boundary value problem , mathematics , elasticity (physics) , harmonic function , algebraic equation , fredholm integral equation , exact solutions in general relativity , displacement (psychology) , integral equation , physics , nonlinear system , quantum mechanics , thermodynamics , psychology , psychotherapist
Abstract The exact solution of the displacement boundary‐value problem of elasticity in general case for an elastic medium containing a rigid spindle‐shaped inclusion is constructed. This solution is initially presented by the algebraic comnation of the dilatation function and an arbitrary harmonic vector. Being an analytical function, the Fourier ansform of the dilatation boundary‐value k‐harmonic is determined from the conjugation problem at three parallel mtours in the complex plane. Obtained problem is reduced to Fredholm integral equation with a quasi‐difference kernel.