Numerical Solution of the Thermally Isolated Crack Problem Using Singular Integral Equations
DOI:
https://doi.org/10.52340/building.2025.72.02.12საკვანძო სიტყვები:
Thermal Insulation Crack, Singular Integral, Numerical Solution, Harmonic function, Algorithmანოტაცია
The paper discusses the numerical solution of the thermally isolated crack problem using singular integral equations. A circular crack is given in an infinite body, on which the temperature distribution function is known. Determination of the intensity coefficients for stress distribution in a small region near the crack tips is based on a first-kind singular integral equation, which is solved using Markov-type quadrature formulas. The values of stresses in the vicinity of the crack are determined by Cauchy-type integrals; for their computation Professor M. Kublashvili’s quadratic formula is used. A specific test problem is discussed. The program “Mathematika” has been compiled in a symbolic language.
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წყაროები
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