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Method of Solving the Problem of Thermoradiation Plasticity for Layered Axisymmetric Bodies Made of Isotropic and Orthotropic Materials*

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International Applied Mechanics Aims and scope

A method for the numerical analysis of the elastic and plastic stress–strain state of layered bodies of revolution made of isotropic and orthotropic materials is proposed. For isotropic materials, modified thermoradiation plasticity equations of deformation along trajectories of small curvature are used. The equations of elasticity are used to study the deformation of orthotropic materials. The dependence of the physical and mechanical properties of materials on temperature and radiation is taken into account. For the convenience of developing the algorithm, the relations between the components of the stress and strain tensors in an arbitrary element of the body are written in the form of a generalized Hooke’s law for an orthotropic material with additional terms. The loading process is divided into a number of small stages. The components of the stress–strain state are determined at each stage using the method of successive approximations. As an example, the stress–strain state of a thin layered shell under thermomechanical loading and radiation exposure is considered.

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St., Kyiv, 03057, Ukraine

    M. E. Babeshko & V. G. Savchenko

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  1. M. E. Babeshko
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  2. V. G. Savchenko
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Correspondence to M. E. Babeshko.

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*This study was sponsored by the budget program “Support for Priority Areas of Scientific Research” (KPKVK 6541230).

Translated from Prikladnaya Mekhanika, Vol. 57, No. 3, pp. 107–126, May–June 2021.

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Babeshko, M.E., Savchenko, V.G. Method of Solving the Problem of Thermoradiation Plasticity for Layered Axisymmetric Bodies Made of Isotropic and Orthotropic Materials*. Int Appl Mech 57, 306–319 (2021). https://doi.org/10.1007/s10778-021-01082-6

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  • DOI: https://doi.org/10.1007/s10778-021-01082-6

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