Ricci tensor in the problem on thermoelastic stresses

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The paper is devoted to the interrelations between stresses, temperature change field, and the Ricci tensor in problems of linear thermoelasticity. A new model of thermoelastic states is proposed. It is demonstrated that inelastic (thermoelastic) behavior is due to the Ricci tensor, which is in turn determined by the temperature field inhomogeneities. The classical linear thermoelastic models can be treated as a special case of the proposed model while the specific assumptions concerning the strain tensor are applied.

Sobre autores

K. Pestov

Khabarovsk Branch of the Federal State Budgetary Institution of Science; Vladivostok Branch of the Russian Customs Academy

Email: kopestov@yandex.ru

M. Guzev

Institute of Applied Mathematics FEB RAS

Email: kopestov@yandex.ru

O. Lyubimova

Khabarovsk Branch of the Federal State Budgetary Institution of Science; Far Eastern Federal University

Autor responsável pela correspondência
Email: kopestov@yandex.ru

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