Topology and material orientation optimization based on evolution equations

PAMM ◽  
2017 ◽  
Vol 17 (1) ◽  
pp. 739-740 ◽  
Author(s):  
Dustin Roman Jantos ◽  
Philipp Junker ◽  
Klaus Hackl
Keyword(s):  
Evolution Equations ◽  
Material Orientation ◽  
Orientation Optimization

Orthotropic material orientation optimization method in composite laminates

2017 ◽  
Vol 57 (2) ◽  
pp. 815-828 ◽  
Author(s):  
Mario Petrovic ◽  
Tsuyoshi Nomura ◽  
Takayuki Yamada ◽  
Kazuhiro Izui ◽  
Shinji Nishiwaki
Keyword(s):  
Composite Laminates ◽  
Orthotropic Material ◽  
Optimization Method ◽  
Material Orientation ◽  
Orientation Optimization

Thermal Performance Optimization in Electric Vehicle Power Trains by Locally Orthotropic Surface Layer Design

2018 ◽  
Vol 140 (11) ◽  
Author(s):  
Mario Petrovic ◽  
Tsuyoshi Nomura ◽  
Takayuki Yamada ◽  
Kazuhiro Izui ◽  
Shinji Nishiwaki
Keyword(s):  
Thermal Conductivity ◽  
Surface Layer ◽  
Scalar Field ◽  
Heat Flow ◽  
Performance Optimization ◽  
Orthotropic Material ◽  
Material Distribution ◽  
Optimal Orientation ◽  
Material Orientation ◽  
Orientation Optimization

In this paper, the application of orthotropic material orientation optimization for controlling heat flow in electric car power trains is presented. The design process is applied to a case model, which conducts heat while storing heat-sensitive electronic components. The core of the case is designed using a low thermal conductivity material on order to focus the heat flow into the surface layer, which is designed using a high thermal conductivity material. Material orthotropy is achieved in the surface layer of the case by removing the material at points determined by the optimization analysis. For this purpose, an orthotropic material orientation optimization method was extended to calculate optimal material distribution. This is achieved by transforming the initially obtained optimal orientation vector field into a scalar field through the use of coupled time-dependent nonisotropic Helmholtz equations. Multiple parameters allow the control of the scalar field and therefore the control over material distribution in accordance to the optimal orientation. This allows the material distribution pattern to be scaled depending on the desired manufacturing method. The analysis method is applied to divert heat flow from a specific section of the model while focusing the heat flow to another section. The results are shown for a model with a 0.1 mm thick surface layer of copper and are compared to those results from several other materials and layer thicknesses. Finally, the manufactured design is presented.

Thermal Conductivity Design for Locally Orthotropic Materials

2013 ◽  
Vol 577-578 ◽  
pp. 437-440
Author(s):  
Romana Piat ◽  
Yuriy Sinchuk
Keyword(s):  
Thermal Conductivity ◽  
Computational Model ◽  
Optimization Problems ◽  
Hot Spot ◽  
Orthotropic Materials ◽  
Principal Stresses ◽  
Material Orientation ◽  
Elasticity Problems ◽  
Optimal Material ◽  
Orientation Optimization

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.

Traveling wave solutions for the Couple Boiti-Leon-Pempinelli System by using extended Jacobian elliptic function expansion method

2015 ◽  
Vol 11 (3) ◽  
pp. 3134-3138 ◽  
Author(s):  
Mostafa Khater ◽  
Mahmoud A.E. Abdelrahman
Keyword(s):  
Elliptic Function ◽  
Traveling Wave ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Traveling Wave Solutions ◽  
Expansion Method ◽  
Mathematical Physics ◽  
Nonlinear Evolution Equations ◽  
Jacobian Elliptic Function ◽  
Function Expansion

In this work, an extended Jacobian elliptic function expansion method is pro-posed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to the Couple Boiti-Leon-Pempinelli System which plays an important role in mathematical physics.

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