文章基本信息

标题：Successive approximation method for time-dependent creep modeling of functionally graded piezoelectric cylinder
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作者：Ali GHORBANPOUR ARANI ; Reza KOLAHCHI
期刊名称：Turkish Journal of Engineering and Environmental Sciences
印刷版ISSN：1300-0160
电子版ISSN：1303-6157
出版年度：2014
卷号：38
页码：309-322
DOI：10.3906/muh-1211-5
出版社：Scientific and Technical Research Council of Turkey
摘要：Time-dependent creep behavior of hollow rotating cylinders made from functionally graded piezoelectric material has been investigated using Mendelson’s method of successive approximation. All the mechanical, thermal, and piezoelectric properties are modeled as the power-law distribution of volume fraction. Based on equilibrium, strain displacement, stress-strain, and electric displacement relations, a differential equation containing creep strains for displacement is derived. Creep strains are time-, temperature-, and stress-dependent, and the closed-form solution cannot be found for this constitutive differential equation. A semianalytical method in conjunction with the method of successive approximation has therefore been proposed for this analysis. Similar to the radial stress histories, electric potentials increase with time, because the latter is induced by the former during creep deformation of the cylinder, justifying industrial application of such a material as efficient actuators and sensors.
关键词：Successive approximation method; time-dependent creep; cylinder; functionally graded; piezoelectric