On the thermodynamical equilibrium conditions in the problem of bending of a two-phase plate

Authors

  • Eremeyev V.A. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация
  • Makaryev A.I. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация

UDC

539.3

Abstract

We present some recent results of solving static problems of bending of elastic plates with phase transitions. We assume that the plate consists of two phases separated by a smooth curve. The deformation of the plate is described by the vertical displacement $w$ and the position of the curve separating the material phases. The weak formulation is used based on the minimal principle of total energy of a plate. The balance equations along the phase interface are deduced. These equations contain the additional balance relation, which is necessary to determine the position of the phase interface.

Acknowledgement

Работа выполнена при поддержке РФФИ (07-01-00525) и Фонда содействия отечественной науке.

Author Infos

Viktor A. Eremeyev

д-р физ.-мат. наук, зав. лабораторией механики активных материалов Южного научного центра РАН

Anton I. Makaryev

младший научный сотрудник НИИ физики Южного федерального университета

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Issue

2007. No. 2

Section

Mechanics

Pages

56-60

Submitted

2007-06-19

Published

2007-06-30

How to Cite

Eremeyev V.A., Makaryev A.I. On the thermodynamical equilibrium conditions in the problem of bending of a two-phase plate. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2007, no. 2, pp. 56-60. (In Russian)

Copyright (c) 2007 Eremeyev V.A., Makaryev A.I.

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