Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
MATHEMATICAL SIMULATION OF NONLINEAR PROBLEM OF THREE-POINT COMPOSITE SAMPLE BENDING TEST
Form of presentationArticles in Russian journals and collections
Year of publication2016
Языканглийский
  • Makarov Maksim Viktorovich, author
  • Paymushin Vitaliy Nikolaevich, author
  • Bibliographic description in the original language Badriev I.B., Makarov M.V., Paimushin V.N. Mathematical Simulation of Nonlinear Problem of Three-point Composite Sample Bending Test // Procedia Engineering. – 2016. – Vol. 150. – P. 1056-1062. http://dx.doi.org/10.1016/j.proeng.2016.07.214
    Annotation This study is devoted to numerical analysis of the geometrically and physically nonlinear problem of three-point bending test of laminated fiber-reinforced composite samples with rectangular cross-section. The problem is formulated by using relationships based on describing the displacement vector for an arbitrary point on the beam (Timoshenko model). For numerical solution of the problem, the finite sums method is used. In accordance with this method, the initial equations are reduced to integro-algebraic equations, which are then approximated by a collocation method using Gauss nodes. Implemented numerical enables a very accurate description of solution having large gradients change at very short sections. Buckling of the beam under transverse load has been studied by altering the loading parameter.
    Keywords Mathematical simulation; geometrically and physically nonlinear problem; three-point bending; laminated fiber-reinforced composite; buckling
    The name of the journal Procedia Engineering
    URL http://dx.doi.org/10.1016/j.proeng.2016.07.214
    Please use this ID to quote from or refer to the card https://repository.kpfu.ru/eng/?p_id=136247&p_lang=2

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