The approximate model of plane static problems of the nonlinear elasticity theory

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This article is dedicated to the construction of the approximate mathematical model of the nonlinear elasticity theory for plane strain state. The third order effects method applied to symbolic computing. There three boundary value problems for the first, the second and the third order effects has been obtained within this method, which gets ability to use well-elaborated methods of the linear elasticity theory for the solution of specific problems. This method can be applied for analytical solving of plane problems of nonlinear elasticity theory of stress concentration around holes in mathematical package Maple. Considered example of the triangular hole. The influence of external loads on the stress concentration factor.

Keywords: nonlinear elasticity theory, the third order effects, an approximate mathematical model, the stress concentration factor
Citation in English: Zhukov B.A., Shchukina N.A. The approximate model of plane static problems of the nonlinear elasticity theory // Computer Research and Modeling, 2015, vol. 7, no. 4, pp. 889-896
Citation in English: Zhukov B.A., Shchukina N.A. The approximate model of plane static problems of the nonlinear elasticity theory // Computer Research and Modeling, 2015, vol. 7, no. 4, pp. 889-896
DOI: 10.20537/2076-7633-2015-7-4-889-896
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