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Presentation of the moment scheme of finite elements to calculate stress-strain state of elastomer in tool systems

Gomenyuk S.1, Lavrik V.2
1 Zaporizhzhya National University
2 Berdyansky State Pedagogical University

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UDC: 519.688:519.6:514.7
Publication Language: Russian
Stuc. intelekt. 2015; 20(3-4):141-148

Abstract: The article presents the moment scheme as an example of a finite element volume cuboid. Derived variational formulas are static relationships. They are used as an alternative method for calculating the stress-strained state designs. Engineer designer can faster and more effectively carry out the calculation of the objects.

Keywords: finite element, moment scheme, Maclaurin series.

References:

  1. Kirichevskiy V. The Finite Element Method in the mechanics of elastomers / V.V. Kirichevskiy. - K.:Naukova Dumka, 2002. - 655 p.
  2. Lavrik V. The use of moment diagrams for finite-element analysis of objects in the stress-strain state /Vladimir Lavrik // Journal of East Ukrainian National University, Volodymyr Dal.. - 2013 - №4 (193).Part 2. - P. 96 – 100.
  3. Bazhenov V. A., Sakharov A. S., Tsykhanovskii V. K., The Moment Finite-Element Scheme inProblems of Nonlinear Continuum Mechanics // International Applied Mechanics, Vol. 38, Issue 6,June 2002, P. 658-692.
  4. Brenner S. C., Scott L. R., The Mathematical Theory of Finite Element Methods, 3rd ed., Springer,New York, 2008.
  5. Chen, Y, Lu, Z, Error estimates for parabolic optimal control problem by fully discrete mixed finiteelement methods // Finite Elements in Analysis and Design, Vol. 46, Issue 11, November 2010, P.957-965.
  6. Dokhnyak B. M., Kirichevski V. V. and Ishchenko M. I., Application of the moment scheme of thefinite element method to the solu1ion of problems with initial stresses in the incremental elasticitytheory // Strength of Materials, May 2006, Vol. 38, Issue 3, P. 313-323.
  7. Krivovichev G. V., On the Finite-Element-Based Lattice Boltzmann Scheme// Applied MathematicalSciences, Vol. 8, 2014, № 33, P. 1605 – 1620.
  8. Lavrik V. et al. Development of the CAD system for designing non-standard constructions fromelastomers / V. Lavrik et al // International Journal of Innovative Research in Science, Engineeringand Technology. – Vol. 3, Issue 3, March 2014. – P. 10717– 10726.

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