不排水饱和多孔压弹性厚盘的轴对称弹性解

IF 0.7 Q4 MECHANICS

Theoretical and Applied Mechanics Pub Date : 2019-01-01 DOI:10.2298/tam190911012a

Ali Abjadi, M. Jabbari, Rezaei Ahmad

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引用次数: 0

摘要

本文对多孔弹性压电陶瓷厚圆板进行了研究。孔隙率随厚度和轴对称特性的变化而变化，呈现6 mm级的六边形材料对称。此外，外机械载荷为轴对称一般形式作用在板上。板的材料性质随??的函数呈指数变化。在柱坐标系中的变量。基于径向和轴向位移的弹性解(?? ?)， ??)，推导并解析求解了控制偏微分方程;然后计算机械应力和电位移。最后给出了推导公式的应用实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Axisymmetric elasticity solution for an undrained saturated poro-piezoelastic thick disk

In this paper, a circular thick plate made of poroelastic piezoelectric ceramic is studied. The porosities of the plate vary through the thickness and axisymmetric behavior of a piezoelectric disk exhibiting hexagonal material symmetry of class 6 mm. Additionally, external mechanical loads which are in axi-symmetric general form act on the plate. The material properties of the plate vary exponentially as functions of the ?? variable in cylindrical coordinates. Based on an elasticity solution in terms of radial and axial displacements (??, ??), the governing partial differential equations are derived and solved analytically; mechanical stresses and electric displacements are then calculated. Finally an example which illustrates the application of the derived formulas is presented.

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来源期刊

Theoretical and Applied Mechanics MECHANICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

32 weeks

期刊介绍： Theoretical and Applied Mechanics (TAM) invites submission of original scholarly work in all fields of theoretical and applied mechanics. TAM features selected high quality research articles that represent the broad spectrum of interest in mechanics.