The overall elastic dielectric properties of a suspension of spherical particles in rubber: An exact explicit solution in the small-deformation limit

2014 ◽  
Vol 116 (13) ◽  
pp. 134106 ◽  
Author(s):  
Victor Lefèvre ◽  
Oscar Lopez-Pamies
Keyword(s):  
Dielectric Properties ◽  
Explicit Solution ◽  
Small Deformation ◽  
Spherical Particles ◽  
Deformation Limit ◽  
Elastic Dielectric

Unique elastic, dielectric and piezoelectric properties of micro-architected metamaterials

2019 ◽  
Vol 7 (9) ◽  
pp. 2758-2765 ◽  
Author(s):  
Longlong Shu ◽  
Renhong Liang ◽  
Yanzhuo Yu ◽  
Tingfang Tian ◽  
Zhenggang Rao ◽  
...  
Keyword(s):  
Dielectric Properties ◽  
Piezoelectric Properties ◽  
Dielectric And Piezoelectric Properties ◽  
Elastic Dielectric

Complex micro-architectured metamaterials exhibit unique elastic and dielectric properties as well as ultrahigh piezoelectric responses.

Crystallization of Spherical Dielectric Oxide Particles in a Melting-Spheroidization Process Using Chemical Flame

2006 ◽  
Vol 301 ◽  
pp. 223-226 ◽  
Author(s):  
Shenglei Che ◽  
Tomohiro Sogabe ◽  
Norimasa Sakamoto
Keyword(s):  
Dielectric Properties ◽  
Particle Morphology ◽  
Annealing Process ◽  
Spherical Particles ◽  
Smooth Surfaces ◽  
Oxide Particles ◽  
Spheroidized Powder

BaNd2Ti4O12 dielectric oxide particles were spheroidized by melting them with a LPG-O2 flame to improve packing and fluidity of the powder. Changes in the particle morphology, structure and crystallinity during the process were investigated. It is revealed that most of the as-melted particles are dense, spherical and amorphous with smooth surfaces, which crystallize in the annealing process to form polycrystalline spherical particles with uneven surfaces. Annealing at above 1100°C is necessary for the spheroidized powder to recover its crystallinity and dielectric properties.

Electroelastic Response of Isotropic Dielectric Elastomer Composites with Deformation-Dependent Apparent-Permittivity Matrix

2020 ◽  
Vol 87 (9) ◽  
Author(s):  
Victor Lefèvre
Keyword(s):  
Free Energy ◽  
Electric Fields ◽  
Dielectric Response ◽  
Dielectric Elastomer ◽  
Spherical Particles ◽  
Full Field ◽  
The Matrix ◽  
Elastomer Composites ◽  
Non Gaussian ◽  
Elastic Dielectric

Abstract This paper puts forth an approximate yet accurate free energy for the elastic dielectric response—under finite deformations and finite electric fields—of non-percolative dielectric elastomer composites made out of a non-Gaussian dielectric elastomer matrix with deformation-dependent apparent permittivity isotropically filled with nonlinear elastic dielectric particles that may exhibit polarization saturation. While the proposed free energy applies in its most general form to arbitrary isotropic non-percolative microstructures, closed-form specializations are recorded for the practically relevant cases of rigid or liquid-like spherical particles. The proposed free energy is exact by construction in the asymptotic context of small deformations and moderate electric fields and is shown to remain accurate for arbitrary large deformations and electric fields via comparisons with full-field finite-element simulations. The proposed constitutive model is deployed to probe the electrostriction response of these dielectric elastomer composites and corresponding results reveal that their elastic dielectric response strongly depends on the deformation-dependent apparent permittivity of the matrix they comprise.

Studying novel 1D potential via the AIM

2021 ◽  
pp. 2150141
Author(s):  
A. J. Sous
Keyword(s):  
Iteration Method ◽  
Bound States ◽  
Small Deformation ◽  
Asymptotic Iteration Method ◽  
Finite Spectrum ◽  
Deformation Limit ◽  
Potential Parameters

In this work, we would like to apply the asymptotic iteration method (AIM) to a newly proposed Morse-like deformed potential introduced recently by Assi, Alhaidari and Bahlouli.[Formula: see text] This interesting potential can support bound states and/or resonances. However, in this work, we are only interested in bound states. We considered several choices of the potential parameters and obtained the associated spectrum. Finally, we study the small deformation limit at which this finite spectrum system will transition to infinite spectrum size.

Linearized elasticity as Mosco limit of finite elasticity in the presence of cracks

2020 ◽  
Vol 13 (1) ◽  
pp. 33-52
Author(s):  
Pascal Gussmann ◽  
Alexander Mielke
Keyword(s):  
Elastic Energy ◽  
Finite Elasticity ◽  
Small Deformation ◽  
Local Constraint ◽  
Deformation Limit ◽  
Linearized Elasticity ◽  
Global Injectivity

AbstractThe small-deformation limit of finite elasticity is considered in presence of a given crack. The rescaled finite energies with the constraint of global injectivity are shown to Γ-converge to the linearized elastic energy with a local constraint of non-interpenetration along the crack.

Saturation effects on the joint elastic–dielectric properties of carbonates

2016 ◽  
Vol 129 ◽  
pp. 36-40 ◽  
Author(s):  
Tongcheng Han ◽  
Michael Ben Clennell ◽  
Marina Pervukhina ◽  
Matthew Josh
Keyword(s):  
Dielectric Properties ◽  
Saturation Effects ◽  
Elastic Dielectric
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