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Numerical solution of a boundary-value problem of elasticity theory for a body with an inclusion

  • Approximate Methods of Solution of Applied Problems
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Abstract

We consider the problem of steady-state oscillations of a plane body with an inclusion. A solution algorithm is constructed. Computational experiments are described, which establish the applicability of the proposed procedure for analyzing the effect of defects inside the body on wave fields excited by ultrasonic sources.

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References

  1. V. M. Goncharenko, Variational Theory of Boundary-Value Problems in the Mechanics of Continua [in Russian], Kiev (1981).

  2. L. D. Landau and E. M. Lifshits, Theory of Elasticity [in Russian], Moscow (1987).

  3. I. N. Molchanov, Numerical Methods of Solution of Some Problems in Elasticity Theory [in Russian], Kiev (1979).

  4. A. A. Samarskii and V. B. Andreev, Difference Schemes for Elliptical Equations [in Russian], Moscow (1976).

  5. A. A. Samarskii and E. S. Nikolaev, Methods of Solution of Grid Equations [in Russian], Moscow (1978).

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Additional information

Kiev University. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 75, pp. 83–87, 1991.

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Goncharenko, V.M., Lychman, V.V. Numerical solution of a boundary-value problem of elasticity theory for a body with an inclusion. J Math Sci 72, 3116–3119 (1994). https://doi.org/10.1007/BF01259482

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  • DOI: https://doi.org/10.1007/BF01259482

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