Topology optimization for the design of perfect mode-converting anisotropic elastic metamaterials

2018 ◽  
Vol 201 ◽  
pp. 161-177 ◽  
Author(s):  
Xiongwei Yang ◽  
Yoon Young Kim
Keyword(s):  
Topology Optimization ◽  
Elastic Metamaterials ◽  
Anisotropic Elastic

Multi-displacement microstructure continuum modeling of anisotropic elastic metamaterials

Wave Motion ◽  
2012 ◽  
Vol 49 (3) ◽  
pp. 411-426 ◽  
Author(s):  
A.P. Liu ◽  
R. Zhu ◽  
X.N. Liu ◽  
G.K. Hu ◽  
G.L. Huang
Keyword(s):  
Continuum Modeling ◽  
Elastic Metamaterials ◽  
Anisotropic Elastic

scholarly journals A micromechanical approach for homogenization of elastic metamaterials with dynamic microstructure

2016 ◽  
Vol 472 (2192) ◽  
pp. 20160438 ◽  
Author(s):  
Michael B. Muhlestein ◽  
Michael R. Haberman
Keyword(s):  
Degrees Of Freedom ◽  
Effective Properties ◽  
Matrix Material ◽  
Momentum Density ◽  
Velocity Fields ◽  
Elastic Matrix ◽  
Relaxation Processes ◽  
Homogenization Technique ◽  
Elastic Metamaterials ◽  
Anisotropic Elastic

An approximate homogenization technique is presented for generally anisotropic elastic metamaterials consisting of an elastic host material containing randomly distributed heterogeneities displaying frequency-dependent material properties. The dynamic response may arise from relaxation processes such as viscoelasticity or from dynamic microstructure. A Green's function approach is used to model elastic inhomogeneities embedded within a uniform elastic matrix as force sources that are excited by a time-varying, spatially uniform displacement field. Assuming dynamic subwavelength inhomogeneities only interact through their volume-averaged fields implies the macroscopic stress and momentum density fields are functions of both the microscopic strain and velocity fields, and may be related to the macroscopic strain and velocity fields through localization tensors. The macroscopic and microscopic fields are combined to yield a homogenization scheme that predicts the local effective stiffness, density and coupling tensors for an effective Willis-type constitutive equation. It is shown that when internal degrees of freedom of the inhomogeneities are present, Willis-type coupling becomes necessary on the macroscale. To demonstrate the utility of the homogenization technique, the effective properties of an isotropic elastic matrix material containing isotropic and anisotropic spherical inhomogeneities, isotropic spheroidal inhomogeneities and isotropic dynamic spherical inhomogeneities are presented and discussed.

Effective material parameter retrieval of anisotropic elastic metamaterials with inherent nonlocality

2016 ◽  
Vol 120 (10) ◽  
pp. 104902 ◽  
Author(s):  
Hyung Jin Lee ◽  
Heung Son Lee ◽  
Pyung Sik Ma ◽  
Yoon Young Kim
Keyword(s):  
Material Parameter ◽  
Elastic Metamaterials ◽  
Anisotropic Elastic ◽  
Parameter Retrieval
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