MATEC Web Conf.
Volume 106, 2017International Science Conference SPbWOSCE-2016 “SMART City”
|Number of page(s)||5|
|Section||4 Applied Mechanics in Construction and Material Science|
|Published online||23 May 2017|
A numerical solution for plain problems of theory of elasticity
1 Moscow State University of Civil Engineering, Yaroslavskoeshosse, 26, Moscow, 129337, Russia
2 Tajik Technical University, Rudaki str., 17, Dushanbe, 734061, Tajikistan
* Corresponding author: firstname.lastname@example.org
In this paper ,a generation of a numerical algorithm for solving theory of elasticity plain problem concerning displacements is desired ; using difference equations that the method of successive approximations proceed through transforming a complex (to be solved) differential equation into an algebraic one that’s much more easier to solve. The algebraic equations resulted adopt both positioned nodes; interior nodes of a computational grid, and contour (boundary) nodes; including corner ones. The evaluation of the new generated algorithm is being validated through applying it on solving a problem of a laterally fixed deep-beam. Obtained numerical results out of the new algorithm to be compared with those early known and stated in the references listed at the last part of the article.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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