Влияние геометрии компонент трехслойного цилиндра на краевые эффекты

Abstract

A three-layer thick-walled cylinder with isotropic layers under a uniform axial end load is considered. In the exact statement, a problem on the influence of the thickness of layers on end effects is investigated, the total thickness of the cylinder being constant. As mathematical and mechanical models, the axisymmetric problem of elasticity theory in cylindrical coordinates and the model of piecewise-homogeneous media are used. An approximate solution of a differential problem is found by a method of nets with using the base schemes. The example of calculations is given.