THEORETICAL FOUNDATIONS AND SPECIFICITY OF MATHEMATICAL MODELLING

Investigation streee-strain state of body with parabolic boundary

  • 1 I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Georgia

Abstract

The paper stress-strain state of the homogeneous isotropic body bounded by coordinate lines of the parabolic coordinate system is studied, when on parabolic border normal or tangential stress is given. Analytical solution is obtained by the method of separation of variables. Using the MATLAB software, the numerical results are obtained of some specific problems and relevant graphs are presented.

Keywords

References

  1. Bermant, A. F. Mapping, Curvilinear coordinates. Transformations. Green’s forurula. Fizmatgiz, Moscow, 1958.
  2. Zirakashvili, N. Exact solution of some exterior boundary value problems of elasticity in parabolic coordinates - Mathematics and Mechanics of Solids, 23(6), 2018, 929–943
  3. Zirakashvili, N. Analytical solution of interior boundary value problems of elasticity for the domain bounded by the parabola - Bulletin of TICMI, 20(1), 2016, 3-24

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