EXPERIMENTAL CONFIRMATION OF THE RECIPROCITY OF CREEP AND RELAXATION FUNCTIONS IN THE LINEAR THEORY OF VISCOELASTICITY

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详细

A scheme of a quasistatic experiment in a linear viscoelastic isotropic cylindrical layer is presented, where there is a state in which shear creep and shear relaxation are realized simultaneously in two orthogonal directions to each other. The external surface of the layer is stationary, and by setting tangential displacements and shear stresses on its inner surface in a certain way and measuring the remaining components on the same surface, it is possible to experimentally confirm the integral relations of reciprocity of the shear creep and shear relaxation functions.

作者简介

D. Georgievskii

Lomonosov Moscow State University; Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences

Email: georgiev@mech.math.msu.su
Moscow, Russia

参考

  1. Георгиевский Д.В. Схемы экспериментов по определению ядер некоторых разностных операторов для сред с нерелаксирующим объемом // ПММ. 2023. Т. 87. Вып. 1. С. 45-52.
  2. Новацкий В. Теория упругости. М.: Мир, 1975. 872 с.
  3. Ильюшин А.А., Победря Б.Е. Основы математической теории термовязкоупругости. М.: Наука, 1970. 280 с.
  4. Георгиевский Д.В. Модели теории вязкоупругости. М.: ЛЕНАНД, 2023. 144 с.

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