Title of the article

NUMERICAL-ANALYTICAL SOLUTION OF THE PROBLEM OF AXISYMMETRIC DEFORMATION IN A CYLINDER UNDER ACTION OF COMPRESSIVE LOADS

Authors

SHTEFAN Tatyana A., Lecturer, Department of High Mathematics, Zaporizhzhya National Technical University, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

VELICHKO Helen V., Ph. D. in Phys.-Math., Assoc. Prof., Ph. D. Student of Computer Science Department, Tavria State Agrotechnological University, Melitopol, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

In the section DEFORMABLE SOLIDS MECHANICS
Year 2017 Issue 4 Pages 89-95
Type of article RAR Index UDK 539.313 Index BBK  
Abstract

A circular cylinder of finite height that is in the conditions of axial symmetric deformation is considered. Compressive loads are applied to the bases of the cylinder. The Erie stress function is represented in the form of Legendre polynomials. The behavior of a function describing the potential energy of formation in a cylinder is investigated. As a result of numerical experiments, the location of the zones, in which the potential energy is maximum, is clarified. The cases of a symmetric and asymmetric load on the cylinder bases are considered.

Keywords

elastic cylinder, axisymmetric deformation, forming energy, Legendre polynomials

  You can access full text version of the article.
Bibliography
  • Vlasov V.Z. Balki, plity i obolochki na uprugom osnovanii [Beams, plates and shells on elastic Foundation]. Moscow, GIFML, 1960. 490 p.
  • Alexandrov A.S., Alexandrova N.P. Obzor primeneniya kriteriev prochnosti i usloviy plastichnosti v dorognyh konstrukciyah i gruntovyh osnovaniyah [Review of the application of criteria of strength and plasticity in terms of road structures and soil foundations]. Sovershenstvovanie tehnologii stroitelstva i remonta dorog dlya uslovii Sibiri: sb. naych. tr. [Improvement of technologies of construction and repair of roads for the conditions of Siberia: collection of scientific papers], Omsk, 2010, pp. 65–86.
  • Kukhar V.V. Makropokazateli formoizmeneniya i rabota deformacii pri osadke zagotovok vipyklimi plitami [Macroindicators of deformation and strain in upsetting convex plates]. Vіsnik Nacіonalnogo tehnіchnogo unіversitety Ykraїni “KPІ”. Serіya “Mashinobydyvannya” [Bulletin of the National Technical University of Ukraine “KPI”. Series “Mechanical Engineering”]. Kiev, 2012, no. 64, pp. 227–233.
  • Tutyshkin N.D., Quang H.H., Modelirovanie deformacionnoi povrejdaemosti materialov pri osesimmetrichnoi osadke [Modeling of deformation deformation of materials during axisymmetric upsetting]. Izvestiya TylGU. Estestvennie nayki [News TulGU.
    Natural science.], 2011, no. 1, pp. 129–137.
  • Lokoshchenko A.M., Mossakovsky P.A., Teraud V.V. Issledovanie osadki krygovih cilindrov pri polzychesti s uchetom i bez ucheta bochkoobrazovaniya [Investigation of the precipitation of circular cylinders in creep with and without the education barrel]. Vichislitelnaya mehanika sploshnih sred [Computational continuum mechanics], 2010, vol. 3, no. 1, pp. 52–62.
  • Stefan T.A., Velichko E.V. Energiya formoizmeneniya v korotkom cilindre pri aksialnoi simmetricheskoi deformacii [The Energy of deformation in a short cylinder under axial symmetric deformation]. Deformaciya i razryshenie materialov [Deformation and fracture of materials], 2014, no. 6, pp. 12–18.
  • Law A. Matematicheskaya teoriya uprugosti [The Mathematical theory of elasticity]. Moscow, 1935. 675 p.
  • Lurie A.I. Teoriya uprugosti [Theory of elasticity]. Moscow, GIFML, 1970. 940 p.