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Problems of Statics of Two-Component Elastic Mixtures

Problems of Statics of Two-Component Elastic Mixtures A general representation of solutions by six harmonic functions is obtained for a system of homogeneous equations of statics of two-component mixtures. The problems are investigated when the normal components of partial displacement vectors and the tangent components of partial rotation vectors are given on the boundary. Uniqueness theorems are proved. Solutions are obtained in terms of absolutely and uniformly convergent series. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Problems of Statics of Two-Component Elastic Mixtures

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References (10)

Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2005.619
Publisher site
See Article on Publisher Site

Abstract

A general representation of solutions by six harmonic functions is obtained for a system of homogeneous equations of statics of two-component mixtures. The problems are investigated when the normal components of partial displacement vectors and the tangent components of partial rotation vectors are given on the boundary. Uniqueness theorems are proved. Solutions are obtained in terms of absolutely and uniformly convergent series.

Journal

Georgian Mathematical Journalde Gruyter

Published: Dec 1, 2005

Keywords: Theory of elasticity; theory of mixtures; Green formulas; regular functions

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