Volume 6, Issue 2
Analysis of Functionally Graded Piezoelectric Cylinders in a Hygrothermal Environment

M. N. M. Allam, A. M. Zenkour & R. Tantawy

Adv. Appl. Math. Mech., 6 (2014), pp. 233-246.

Published online: 2014-06

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  • Abstract

This paper presents an analytical solution for the interaction of electric potentials, electric displacement, elastic deformations, and describes hygrothermal effect responses in hollow and solid cylinders, subjected to mechanical load and electric potential. Exact solutions for displacement, stresses and electric potentials in functionally graded piezoelectric material are determined using the infinitesimal theory. The material properties coefficients of the present cylinder are assumed to be graded in the radial direction by a power law distribution. Numerical examples display the significant of influence of material inhomogeneity. It is interesting to note that selecting a specific value of inhomogeneity parameter can optimize the piezoelectric hollow and solid cylinders responses, which will be of particular importance in modern engineering designs.

  • Keywords

Functionally graded piezoelectric material hygrothermal effect

  • AMS Subject Headings

74-XX

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COPYRIGHT: © Global Science Press

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@Article{AAMM-6-233, author = {M. N. M. Allam, A. M. Zenkour and R. Tantawy}, title = {Analysis of Functionally Graded Piezoelectric Cylinders in a Hygrothermal Environment}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2014}, volume = {6}, number = {2}, pages = {233--246}, abstract = {

This paper presents an analytical solution for the interaction of electric potentials, electric displacement, elastic deformations, and describes hygrothermal effect responses in hollow and solid cylinders, subjected to mechanical load and electric potential. Exact solutions for displacement, stresses and electric potentials in functionally graded piezoelectric material are determined using the infinitesimal theory. The material properties coefficients of the present cylinder are assumed to be graded in the radial direction by a power law distribution. Numerical examples display the significant of influence of material inhomogeneity. It is interesting to note that selecting a specific value of inhomogeneity parameter can optimize the piezoelectric hollow and solid cylinders responses, which will be of particular importance in modern engineering designs.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m1277}, url = {http://global-sci.org/intro/article_detail/aamm/16.html} }
TY - JOUR T1 - Analysis of Functionally Graded Piezoelectric Cylinders in a Hygrothermal Environment AU - M. N. M. Allam, A. M. Zenkour & R. Tantawy JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 233 EP - 246 PY - 2014 DA - 2014/06 SN - 6 DO - http://doi.org/10.4208/aamm.12-m1277 UR - https://global-sci.org/intro/article_detail/aamm/16.html KW - Functionally graded KW - piezoelectric material KW - hygrothermal effect AB -

This paper presents an analytical solution for the interaction of electric potentials, electric displacement, elastic deformations, and describes hygrothermal effect responses in hollow and solid cylinders, subjected to mechanical load and electric potential. Exact solutions for displacement, stresses and electric potentials in functionally graded piezoelectric material are determined using the infinitesimal theory. The material properties coefficients of the present cylinder are assumed to be graded in the radial direction by a power law distribution. Numerical examples display the significant of influence of material inhomogeneity. It is interesting to note that selecting a specific value of inhomogeneity parameter can optimize the piezoelectric hollow and solid cylinders responses, which will be of particular importance in modern engineering designs.

M. N. M. Allam, A. M. Zenkour & R. Tantawy. (1970). Analysis of Functionally Graded Piezoelectric Cylinders in a Hygrothermal Environment. Advances in Applied Mathematics and Mechanics. 6 (2). 233-246. doi:10.4208/aamm.12-m1277
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