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Quasilinearization method for coupled dynamic problems of thermoviscoelasticity

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Abstract

Use of the quasilinearization method is proposed for the solution of coupled dynamic (particularly, quasistatic) problems of thermoviscoelasticity under cyclic loading. The coupled problems under consideration here include vibrations of a one-dimensional body (beam, plate, shell) and shear vibrations of a hollow cylinder made of a material with temperature-dependent properties, with the principle of temperature-time analogy applicable in the latter case. The quasilinearization method is shown to be a fast converging one when applied to the solution of these problems.

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Authors
  1. V. G. Karnaukhov
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  2. I. F. Kirichok
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Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Mekhanika Polimerov, No. 2, pp. 310–316, March–April, 1976.

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Karnaukhov, V.G., Kirichok, I.F. Quasilinearization method for coupled dynamic problems of thermoviscoelasticity. Polymer Mechanics 12, 268–274 (1976). https://doi.org/10.1007/BF00856464

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  • DOI: https://doi.org/10.1007/BF00856464

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