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Integration of equations of one-dimensional problems of elasticity and thermoelasticity for inhomogeneous cylindrical bodies

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Abstract

We propose a method for direct integration of differential equations of equilibrium and continuity in terms of stresses in the case of one-dimensional quasistatic problems of elasticity and thermoelasticity for inhomogeneous and thermosensitive isotropic cylindrical bodies. The solution of each of the one-dimensional problems is reduced to a Volterra integral equation of the second kind, which makes it possible to propose a rapidly convergent iteration method of computations.

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Authors
  1. B. M. Kalynyak
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, vol. 41, No. 2, pp. 124–131, April–June, 1998.

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Kalynyak, B.M. Integration of equations of one-dimensional problems of elasticity and thermoelasticity for inhomogeneous cylindrical bodies. J Math Sci 99, 1662–1670 (2000). https://doi.org/10.1007/BF02674190

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  • DOI: https://doi.org/10.1007/BF02674190

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