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On Determination of Stress Condition In The Infinite Anisotrop Body Containing Two Neighbouring  Periodically Curved Fibers
Umeå University, Faculty of Science and Technology. Azerbajdzjanska Nationella Akademin . (Instituionen för Matematik och Mekanik)
Azerbajdzjanska Nationella Akademin. (Institutionen för matematik och mekanik)
1999 (English)In: Transactions Of Academy of Sciences Of Azerbaijan , Series of Physical-Technical And mathematical Sciences , Volume XIX , nr 5, 1999, ISSN ISSN 0002-3108, Vol. XIX, no 5, 151-159 p.Article in journal (Refereed) Published
Abstract [en]

In [1,2] the method for investigation of the stress state in the infinite body containing a single curved fiber was proposed. In this paper this method is developed for the case where the infinite body contains two neighbouring periodically curved fibers. It is supposed that the materials of the fibers and the matrix are transversal -isotrop and homogeneous. Introducing the small parameter characterizing the curving degree of the fibers the solution of the corresponding problems is reduced to the solution of the subsequental boundary problems for the canonic many-bonded areas. the solution of each of these problems is reduced to the solution of the system of the infinite algebraic equations whose coefficients contain different complex combination of Bessel's functions. It is proved that the determinants of these infinite systems are the normal type determinants.   

Place, publisher, year, edition, pages
Baku, Azerbaijan: Elm Publishing House, Baku , 1999. Vol. XIX, no 5, 151-159 p.
Keyword [en]
infinite body, anisotrop body, stress condition, periodically curved fibers
National Category
Natural Sciences
Research subject
Physics Of Matter; Physics
Identifiers
URN: urn:nbn:se:umu:diva-71456OAI: oai:DiVA.org:umu-71456DiVA: diva2:639002
Available from: 2013-08-05 Created: 2013-05-30 Last updated: 2013-08-16Bibliographically approved

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