Invisible Spherical Objects Made of Isotropic Materials

2021 ◽  
Author(s):  
L. S. Dolin
Keyword(s):  
Isotropic Materials

A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part I – reconsideration of curvature-based flexoelectricity theory

2021 ◽  
pp. 108128652110015
Author(s):  
YL Qu ◽  
GY Zhang ◽  
YM Fan ◽  
F Jin
Keyword(s):  
Classical Theory ◽  
Couple Stress ◽  
Couple Stress Theory ◽  
Constitutive Relations ◽  
Stress Theory ◽  
Isotropic Materials ◽  
Flexoelectric Effect ◽  
Beam Bending ◽  
Gradient Theories ◽  
Anisotropic And Isotropic Materials

A new non-classical theory of elastic dielectrics is developed using the couple stress and electric field gradient theories that incorporates the couple stress, quadrupole and curvature-based flexoelectric effects. The couple stress theory and an extended Gauss’s law for elastic dielectrics with quadrupole polarization are applied to derive the constitutive relations of this new theory through energy conservation. The governing equations and the complete boundary conditions are simultaneously obtained through a variational formulation based on the Gibbs-type variational principle. The constitutive relations of general anisotropic and isotropic materials with the corresponding independent material constants are also provided, respectively. To illustrate the newly proposed theory and to show the flexoelectric effect in isotropic materials, one pure bending problem of a simply supported beam is analytically solved by directly applying the formulas derived. The analytical results reveal that the flexoelectric effect is present in isotropic materials. In addition, the incorporation of both the couple stress and flexoelectric effects always leads to increased values of the beam bending stiffness.

scholarly journals Effective elastic properties of transversely isotropic materials with concave pores

2021 ◽  
Vol 153 ◽  
pp. 103665
Author(s):  
K. Du ◽  
L. Cheng ◽  
J.F. Barthélémy ◽  
I. Sevostianov ◽  
A. Giraud ◽  
...  
Keyword(s):  
Elastic Properties ◽  
Transversely Isotropic ◽  
Effective Elastic Properties ◽  
Isotropic Materials ◽  
Transversely Isotropic Materials

Spherical invisibility cloak with minimum number of layers of isotropic materials

2012 ◽  
Vol 54 (9) ◽  
pp. 2217-2220 ◽  
Author(s):  
Tiago Carvalho Martins ◽  
Victor Dmitriev
Keyword(s):  
Isotropic Materials ◽  
Number Of Layers ◽  
Invisibility Cloak ◽  
Minimum Number

Dilatation parameterization for two-dimensional modeling of nearly incompressible isotropic materials

2012 ◽  
Vol 57 (12) ◽  
pp. 4055-4073
Author(s):  
Hani Eskandari ◽  
Orcun Goksel ◽  
Septimiu E Salcudean ◽  
Robert Rohling
Keyword(s):  
Two Dimensional ◽  
Isotropic Materials ◽  
Dimensional Modeling

Extended Jiles–Atherton model for modelling the magnetic characteristics of isotropic materials

2008 ◽  
Vol 320 (20) ◽  
pp. e1049-e1052 ◽  
Author(s):  
Roman Szewczyk ◽  
Adam Bieńkowski ◽  
Jacek Salach
Keyword(s):  
Magnetic Characteristics ◽  
Isotropic Materials
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