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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2011 Volume 11, Issue 3(2), Pages 103–110 (Mi isu257)

Mechanics

Method of boundary states as an effective technique of solving of heterogeneous problems of elasticity theory

V. B. Penkov, L. V. Satalkina

Lipetsk State Technical University

Abstract: Method of boundary states in combination with perturbation technique discovers its efficiency on heterogeneous problems of elastostatics. Solutions of problems for body of geometric configuration “peg”, produced from heterogeneous material with axisymmetric heterogeneity is performed and illustrated.

Key words: Hilbert space, Fourier coefficient, orthonormal basis, method of boundary states.

UDC: 539.3

DOI: 10.18500/1816-9791-2011-11-3-2-103-110



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