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Numerical method for solving a boundary-value problem of thermoelasticity

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Abstract

We consider the problem of determining the stress-strain state of an elastoplastic layer under impulse heating. The theory of small elastoplastic strains with linear hardening is used. A boundary-value problem is obtained for the equations of thermoelasticity whose coefficients at any time are functionals of strain history. A method is developed for solving this problem, based on discretization by space and time variables and application of an appropriate difference scheme. This scheme constructs a recursive evolution process for the state column at the nodes of the space grid. Numerical implementation of the method has demonstrated its reliability and efficiency.

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Literature cited

  1. D. N. Goodyear and F. H. Hodge, Elasticity and Plasticity [Russian translation], IL, Moscow (1960).

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  2. A. A. Il'yushin, Plasticity [in Russian], Gostekhizdat, Moscow (1948).

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  3. V. K. Nowatsky, Wave Problems of Plasticity Theory [Russian translation], Mir, Moscow (1978).

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  4. Kh. A. Rakhmatulin and Yu. A. Dem'yanov, Strength of Materials Under High-Intensity Impulse Loads [in Russian], Fizmatgiz, Moscow (1961).

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Authors and Affiliations

  1. Kiev University, USSR

    M. M. Belova, V. M. Goncharenko & S. S. Protsenko

Authors
  1. M. M. Belova
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  2. V. M. Goncharenko
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  3. S. S. Protsenko
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Additional information

Translated from Vychislitel'naya i Prikladnaya Matematika, No. 58, pp. 66–71, 1986.

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Belova, M.M., Goncharenko, V.M. & Protsenko, S.S. Numerical method for solving a boundary-value problem of thermoelasticity. J Math Sci 58, 443–446 (1992). https://doi.org/10.1007/BF01100071

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  • DOI: https://doi.org/10.1007/BF01100071

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