Optimal material orientation of nonlinear orthotropic materials

1999 ◽  
Vol 35 (3) ◽  
pp. 233-240 ◽  
Author(s):  
J. Lellep ◽  
J. Majak
2013 ◽  
Vol 577-578 ◽  
pp. 437-440
Author(s):  
Romana Piat ◽  
Yuriy Sinchuk

In this paper the development of a computational model for the thermal conductivity design for locally orthotropic materials is presented. The material orientation of a two-dimensional locally orthotropic solid subjected to thermal loads is designed for minimization of the local temperature. Two optimization problems are considered: the minimization of the highest (hot-spot) temperature and the minimization of the temperature according to the weights distribution. For both problems rules for calculation of the optimal material orientation are derived analytically. The analysis is based on the idea of the principal stresses method for optimization of material orientation in linear elasticity problems. The results of the analysis are implemented and the developed computational model is tested on an example of the lamella orientation optimization in a metal-ceramic composite.


Author(s):  
Jian Hui Luo ◽  
Hae Chang Gea

Abstract In this paper, an analytical energy based method is proposed to determine the optimal orientation of orthotropic materials under static loading. Instead of assuming the strain or stress is fixed with respect to orientational variables, the dependency of strain and stress fields on material orientation is explored by introducing an energy factor in the inclusion model. From the derivations, the strain based method and the stress based method can be recovered and their limitations are discussed. Numerical examples from these methods are presented and compared.


2019 ◽  
Vol 220 ◽  
pp. 473-480 ◽  
Author(s):  
Xiaolei Yan ◽  
Qiwang Xu ◽  
Dengfeng Huang ◽  
Yong Zhong ◽  
Xiaodong Huang

2010 ◽  
Vol 107 (9) ◽  
pp. 369-375 ◽  
Author(s):  
C. Gaier ◽  
B. Unger ◽  
H. Dannbauer

2020 ◽  
Vol 33 (1) ◽  
Author(s):  
Jie Gao ◽  
Mi Xiao ◽  
Yan Zhang ◽  
Liang Gao

AbstractTopology Optimization (TO) is a powerful numerical technique to determine the optimal material layout in a design domain, which has accepted considerable developments in recent years. The classic Finite Element Method (FEM) is applied to compute the unknown structural responses in TO. However, several numerical deficiencies of the FEM significantly influence the effectiveness and efficiency of TO. In order to eliminate the negative influence of the FEM on TO, IsoGeometric Analysis (IGA) has become a promising alternative due to its unique feature that the Computer-Aided Design (CAD) model and Computer-Aided Engineering (CAE) model can be unified into a same mathematical model. In the paper, the main intention is to provide a comprehensive overview for the developments of Isogeometric Topology Optimization (ITO) in methods and applications. Finally, some prospects for the developments of ITO in the future are also presented.


IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 2705-2705
Author(s):  
Md. Saiful Islam ◽  
Cristiano M. B. Cordeiro ◽  
MD. J. Nine ◽  
Jakeya Sultana ◽  
Alice L. S. Cruz ◽  
...  

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