Open Access

ARTICLE

Optimal Analysis for Shakedown of Functionally Graded (FG) Bree Plate with Genetic Algorithm

H. Zheng^1,2, X. Peng^1,2,3,4, N. Hu^1,3,5

1 Department of Engineering Mechanics, Chongqing University, Chongqing, 400044, China.
2 Chongqing Key Laboratory of Heterogeneous Material Mechanics, Chongqing University,Chongqing, 400044, China.
3 College of Aerospace Engineering, Chongqing University, Chongqing, 400044, China.
4 Corresponding author, Email: xhpeng@cqu.edu.cn
5 Department of Mechanical Engineering, Chiba University, 1-33 Yayoi, Inage-ku, Chiba 263-8522, Japan.

Computers, Materials & Continua 2014, 41(1), 55-84. https://doi.org/10.3970/cmc.2014.041.055

Abstract

The Shakedown of a functionally graded (FG) Bree plate subjected to coupled constant mechanical loading and cyclically varying temperature is analyzed with more accurate approaches and optimized with the genetic algorithm method. The shakedown theorem takes into account material hardening. The variation of the material properties in the thickness of a FG Bree plate is characterized with a piecewise exponential distribution, which can replicate the actual distribution with sufficient accuracy. In order to obtain the best distribution of the mechanical properties in the FG plate, the distribution of the reinforcement particle volume fraction is optimized with the genetic algorithm (GA). Two numerical examples are presented, which demonstrate the validity of the developed method in the analysis of the shakedown of the FG Bree plate.

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Keywords

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