Optimal design of a multilayered piezoelectric transducer based on a special unit cell homogenization method

2016 ◽  
Vol 227 (7) ◽  
pp. 1837-1847 ◽  
Author(s):  
Houssein Nasser ◽  
Sandra Porn ◽  
Yao Koutsawa ◽  
Gaetano Giunta ◽  
Salim Belouettar
Keyword(s):  
Optimal Design ◽  
Piezoelectric Transducer ◽  
Homogenization Method ◽  
Unit Cell ◽  
Special Unit

scholarly journals Optimal design of unit‐cell based programmable materials

PAMM ◽  
2021 ◽  
Vol 20 (1) ◽  
Author(s):  
Tobias Lichti ◽  
Heiko Andrä ◽  
Alexander Leichner ◽  
Ralf Müller ◽  
Franziska Wenz
Keyword(s):  
Optimal Design ◽  
Unit Cell ◽  
Programmable Materials

scholarly journals Optimal design of micro-mechanisms by the homogenization method

2002 ◽  
Vol 11 (2-4) ◽  
pp. 405-416 ◽  
Author(s):  
Grégoire Allaire ◽  
François Jouve
Keyword(s):  
Optimal Design ◽  
Homogenization Method

scholarly journals Manipulate Vibration Propagation by Anisotropic Honeycomb Structure

2018 ◽  
Vol 175 ◽  
pp. 03040
Author(s):  
Xiang Chen ◽  
Xiao-ming Wang ◽  
Yu-lin Mei
Keyword(s):  
Design Method ◽  
Honeycomb Structure ◽  
Homogenization Method ◽  
Unit Cell ◽  
Field Analysis ◽  
Acoustic Wave Propagation ◽  
Asymptotic Homogenization ◽  
Fluid Properties ◽  
Asymptotic Homogenization Method ◽  
New Type

As a new type of acoustic metamaterial, the pentamode material has extensive application prospect in controlling acoustic wave propagation because of its fluid properties. Firstly, a kind of pentamode material unit cell is designed, which is a two-dimensional honeycomb truss structure. Then, the asymptotic homogenization method is used to calculate static parameters of the unit cell, and also the influence of the geometric parameters and material composition of the unit cell on its mechanical properties is studied. Besides, based on transformation acoustics and the design method of the cylindrical cloak proposed by Norris, an acoustic cloak with isotropic density and gradient elastic modulus is constructed by periodically assembling the unit cell to guide the wave to bypass obstacles. Finally, the full displacement field analysis is carried out to prove the stealth effect of the acoustic cloak.

Asymptotic Analysis of Fiber-Reinforced Composites of Hexagonal Structure

2016 ◽  
Vol 07 (03) ◽  
pp. 1650006 ◽  
Author(s):  
Alexander L. Kalamkarov ◽  
Igor V. Andrianov ◽  
Pedro M. C. L. Pacheco ◽  
Marcelo A. Savi ◽  
Galina A. Starushenko
Keyword(s):  
Thermal Conductivity ◽  
Composite Materials ◽  
Asymptotic Analysis ◽  
Circular Cross Section ◽  
Homogenization Method ◽  
Hexagonal Structure ◽  
Unit Cell ◽  
Fiber Reinforced ◽  
Fiber Reinforced Composite ◽  
Reinforced Composite

The fiber-reinforced composite materials with periodic cylindrical inclusions of a circular cross-section arranged in a hexagonal array are analyzed. The governing analytical relations of the thermal conductivity problem for such composites are obtained using the asymptotic homogenization method. The lubrication theory is applied for the asymptotic solution of the unit cell problems in the cases of inclusions of large and close to limit diameters, and for inclusions with high conductivity. The lubrication method is further generalized to the cases of finite values of the physical properties of inclusions, as well as for the cases of medium-sized inclusions. The analytical formulas for the effective coefficient of thermal conductivity of the fiber-reinforced composite materials of a hexagonal structure are derived in the cases of small conductivity of inclusions, as well as in the cases of extremely low conductivity of inclusions. The three-phase composite model (TPhM) is applied for solving the unit cell problems in the cases of the inclusions with small diameters, and the asymptotic analysis of the obtained solutions is performed for inclusions of small sizes. The obtained results are analyzed and illustrated graphically, and the limits of their applicability are evaluated. They are compared with the known numerical and asymptotic data in some particular cases, and very good agreement is demonstrated.

scholarly journals Homogenization Method Based on Cauer Circuit via Unit Cell Approach

2020 ◽  
Vol 56 (2) ◽  
pp. 1-5
Author(s):  
Shingo Hiruma ◽  
Hajime Igarashi
Keyword(s):  
Homogenization Method ◽  
Unit Cell

Simple Implementation of Asymptotic Homogenization Method for Periodic Composite Materials

2020 ◽  
Vol 1015 ◽  
pp. 57-63
Author(s):  
S. S. Yang ◽  
T. Gao ◽  
Cheng Shen
Keyword(s):  
Homogenization Method ◽  
Unit Cell ◽  
Small Scale ◽  
Effective Elastic Constant ◽  
Asymptotic Homogenization ◽  
Displacement Boundary ◽  
Periodic Composite ◽  
Asymptotic Homogenization Method ◽  
Simple Implementation ◽  
Implementation Method

In this paper, a simple implementation method of Asymptotic homogenization (AH) method is developed with the aid of commercial FEM software as a tool box. Then, abundant structural elements (like beam, shell and solid elements) in commercial software can be used to model unit cell with various complex substructures of periodic materials, while simultaneously reducing the model to a small scale with less amount of calculation. During the implementation, a set of simple displacement boundary conditions are assumed for unit cell, and final effective elastic constant can be directly calculated after several static analysis. Two representative examples of applications are chosen and discussed to verify the validity and applicability of the new implementation method by comparing with other methods. The proposed method is expected to become an effective benchmark for assessing other homogenization theories and extended to other homogenization problems (such as thermal expansion coefficient) in the future.

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