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## Successive approximation method for time-dependent creep modeling of functionally graded piezoelectric cylinder

#### Ali Ghorbanpour ARANI [1] , Reza KOLAHCHI [2]

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.
Successive approximation method, time-dependent creep, cylinder, functionally graded, piezoelectric
Journal Section Articles Author: Ali Ghorbanpour ARANI Author: Reza KOLAHCHI Publication Date : June 1, 2014
 Bibtex @ { tbtkengineering401387, journal = {Turkish Journal of Engineering and Environmental Sciences}, issn = {1300-0160}, eissn = {1303-6157}, address = {}, publisher = {TUBITAK}, year = {2014}, volume = {38}, pages = {309 - 322}, doi = {}, title = {Successive approximation method for time-dependent creep modeling of functionally graded piezoelectric cylinder}, key = {cite}, author = {ARANI, Ali Ghorbanpour and KOLAHCHI, Reza} } APA ARANI, A , KOLAHCHI, R . (2014). Successive approximation method for time-dependent creep modeling of functionally graded piezoelectric cylinder. Turkish Journal of Engineering and Environmental Sciences , 38 (3) , 309-322 . Retrieved from https://dergipark.org.tr/en/pub/tbtkengineering/issue/35821/401387 MLA ARANI, A , KOLAHCHI, R . "Successive approximation method for time-dependent creep modeling of functionally graded piezoelectric cylinder". Turkish Journal of Engineering and Environmental Sciences 38 (2014 ): 309-322 Chicago ARANI, A , KOLAHCHI, R . "Successive approximation method for time-dependent creep modeling of functionally graded piezoelectric cylinder". Turkish Journal of Engineering and Environmental Sciences 38 (2014 ): 309-322 RIS TY - JOUR T1 - Successive approximation method for time-dependent creep modeling of functionally graded piezoelectric cylinder AU - Ali Ghorbanpour ARANI , Reza KOLAHCHI Y1 - 2014 PY - 2014 N1 - DO - T2 - Turkish Journal of Engineering and Environmental Sciences JF - Journal JO - JOR SP - 309 EP - 322 VL - 38 IS - 3 SN - 1300-0160-1303-6157 M3 - UR - Y2 - 2020 ER - EndNote %0 Turkish Journal of Engineering and Environmental Sciences Successive approximation method for time-dependent creep modeling of functionally graded piezoelectric cylinder %A Ali Ghorbanpour ARANI , Reza KOLAHCHI %T Successive approximation method for time-dependent creep modeling of functionally graded piezoelectric cylinder %D 2014 %J Turkish Journal of Engineering and Environmental Sciences %P 1300-0160-1303-6157 %V 38 %N 3 %R %U ISNAD ARANI, Ali Ghorbanpour , KOLAHCHI, Reza . "Successive approximation method for time-dependent creep modeling of functionally graded piezoelectric cylinder". Turkish Journal of Engineering and Environmental Sciences 38 / 3 (June 2014): 309-322 . AMA ARANI A , KOLAHCHI R . Successive approximation method for time-dependent creep modeling of functionally graded piezoelectric cylinder. Turkish Journal of Engineering and Environmental Sciences. 2014; 38(3): 309-322. Vancouver ARANI A , KOLAHCHI R . Successive approximation method for time-dependent creep modeling of functionally graded piezoelectric cylinder. Turkish Journal of Engineering and Environmental Sciences. 2014; 38(3): 322-309.

Authors of the Article
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[2]