A New Hybrid Homogenization Theory for Periodic Composites with Random Fiber Distributions

2021 ◽  
pp. 113997
Author(s):  
Shizhen Yin ◽  
Zhelong He ◽  
Marek-Jerzy Pindera
Keyword(s):  
Homogenization Theory ◽  
Periodic Composites

scholarly journals A non-asymptotic homogenization theory for periodic electromagnetic structures

2014 ◽  
Vol 470 (2168) ◽  
pp. 20140245 ◽  
Author(s):  
Igor Tsukerman ◽  
Vadim A. Markel
Keyword(s):  
Boundary Conditions ◽  
Maxwell's Equations ◽  
Homogenization Theory ◽  
Scale Problem ◽  
Asymptotic Homogenization ◽  
Trade Off ◽  
Error Indicator ◽  
Material Parameters ◽  
Periodic Composites ◽  
Physical Boundary

Homogenization of electromagnetic periodic composites is treated as a two-scale problem and solved by approximating the fields on both scales with eigenmodes that satisfy Maxwell's equations and boundary conditions as accurately as possible. Built into this homogenization methodology is an error indicator whose value characterizes the accuracy of homogenization. The proposed theory allows one to define not only bulk, but also position-dependent material parameters (e.g. in proximity to a physical boundary) and to quantify the trade-off between the accuracy of homogenization and its range of applicability to various illumination conditions.

scholarly journals Novel semi-analytical optoelectronic modeling based on homogenization theory for realistic plasmonic polymer solar cells

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Zahra Arefinia ◽  
Dip Prakash Samajdar
Keyword(s):  
Solar Cells ◽  
Active Layer ◽  
Analytical Modeling ◽  
High Efficiency ◽  
Polymer Solar Cells ◽  
Scattered Light ◽  
Homogenization Theory ◽  
Computational Time ◽  
Coupled Equations ◽  
Long Time

AbstractNumerical-based simulations of plasmonic polymer solar cells (PSCs) incorporating a disordered array of non-uniform sized plasmonic nanoparticles (NPs) impose a prohibitively long-time and complex computational demand. To surmount this limitation, we present a novel semi-analytical modeling, which dramatically reduces computational time and resource consumption and yet is acceptably accurate. For this purpose, the optical modeling of active layer-incorporated plasmonic metal NPs, which is described by a homogenization theory based on a modified Maxwell–Garnett-Mie theory, is inputted in the electrical modeling based on the coupled equations of Poisson, continuity, and drift–diffusion. Besides, our modeling considers the effects of absorption in the non-active layers, interference induced by electrodes, and scattered light escaping from the PSC. The modeling results satisfactorily reproduce a series of experimental data for photovoltaic parameters of plasmonic PSCs, demonstrating the validity of our modeling approach. According to this, we implement the semi-analytical modeling to propose a new high-efficiency plasmonic PSC based on the PM6:Y6 PSC, having the highest reported power conversion efficiency (PCE) to date. The results show that the incorporation of plasmonic NPs into PM6:Y6 active layer leads to the PCE over 18%.

scholarly journals Homogenization Theory of Space-Time Metamaterials

2021 ◽  
Vol 16 (1) ◽  
Author(s):  
P.A. Huidobro ◽  
M.G. Silveirinha ◽  
E. Galiffi ◽  
J.B. Pendry
Keyword(s):  
Space Time ◽  
Homogenization Theory

Propagation and localization of elastic waves in highly anisotropic periodic composites via two-scale homogenization

2009 ◽  
Vol 41 (4) ◽  
pp. 434-447 ◽  
Author(s):  
Valery P. Smyshlyaev
Keyword(s):  
Elastic Waves ◽  
Periodic Composites

scholarly journals An effective thermal conductivity and thermomechanical homogenization scheme for a multiscale Nb3Sn filaments

2021 ◽  
Vol 10 (1) ◽  
pp. 187-200
Author(s):  
Xiaoyu Zhao ◽  
Guannan Wang ◽  
Qiang Chen ◽  
Libin Duan ◽  
Wenqiong Tu
Keyword(s):  
Volume Fraction ◽  
Material Design ◽  
Axial Direction ◽  
High Heat ◽  
Thermomechanical Properties ◽  
Homogenization Theory ◽  
High Heat Flux ◽  
Element Analysis ◽  
Hierarchical Microstructure ◽  
Thermal Conductivities

Abstract A comprehensive study of the multiscale homogenized thermal conductivities and thermomechanical properties is conducted towards the filament groups of European Advanced Superconductors (EAS) strand via the recently proposed Multiphysics Locally Exact Homogenization Theory (LEHT). The filament groups have a distinctive two-level hierarchical microstructure with a repeating pattern perpendicular to the axial direction of Nb3Sn filament. The Nb3Sn filaments are processed in a very high temperature between 600 and 700°C, while its operation temperature is extremely low, −269°C. Meanwhile, Nb3Sn may experience high heat flux due to low resistivity of Nb3Sn in the normal state. The intrinsic hierarchical microstructure of Nb3Sn filament groups and Multiphysics loading conditions make LEHT an ideal candidate to conduct the homogenized thermal conductivities and thermomechanical analysis. First, a comparison with a finite element analysis is conducted to validate effectiveness of Multiphysics LEHT and good agreement is obtained for the homogenized thermal conductivities and mechanical and thermal expansion properties. Then, the Multiphysics LEHT is applied to systematically investigate the effects of volume fraction and temperature on homogenized thermal conductivities and thermomechanical properties of Nb3Sn filaments at the microscale and mesoscale. Those homogenized properties provide a full picture for researchers or engineers to understand the Nb3Sn homogenized properties and will further facilitate the material design and application.

Some Remarks on Applying Homogenization Theory to Modeling the Constitutive Response of Carbon Nanotubes

2009 ◽  
Vol 16 (1) ◽  
pp. 36-57
Author(s):  
Hamid Bellout ◽  
Frederick Bloom
Keyword(s):  
Carbon Nanotubes ◽  
Homogenization Theory ◽  
Constitutive Response

Atomistically Informed Continuum Model of Polymer-Based Nanocomposites

2002 ◽  
Vol 740 ◽  
Author(s):  
Catalin R. Picu ◽  
Alireza Sarvestani ◽  
Murat S. Ozmusul
Keyword(s):  
Discrete Models ◽  
Homogenization Theory ◽  
Total Density ◽  
Shape Variation ◽  
Filler Size ◽  
Chain Conformations ◽  
Energetic Interactions ◽  
Composite Moduli ◽  
Curved Interface ◽  
The Continuum

ABSTRACTA model polymeric material filled with spherical nanoparticles is considered in this work. Monte Carlo simulations are performed to determine the polymer chain conformations in the vicinity of the curved interface with the filler. Several discrete models of increasing complexity are considered: the athermal system with excluded volume interactions only, the system in which entropic and energetic interactions take place while the filler is a purely repulsive sphere, and the system in which both filler-polymer and polymer-polymer energetic interactions are accounted for. The total density, chain end density, chain segment preferential orientation and chain size and shape variation with the distance from the filler wall are determined. The structure is graded, with the thickness of the transition region being dependent on the property and scale considered. Hence, the polymer in the vicinity of the filler is represented in the continuum sense by a material with graded properties whose elasticity is determined based on the local structure. Homogenization theory is the used to obtain the overall composite moduli. The filler size effect on the composite elasticity is evaluated.

Session-Workshop on Analysis, Inequalities and Homogenization Theory and Applications

2010 ◽  
Author(s):  
Lars-Erik Persson ◽  
Natasha Samko ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Homogenization Theory

Analytical formulas for complex permittivity of periodic composites. Estimation of gain and loss enhancement in active and passive composites

2018 ◽  
Vol 30 (4) ◽  
pp. 593-613
Author(s):  
Julián Bravo-Castillero ◽  
Ariel Ramírez-Torres ◽  
Federico J. Sabina ◽  
Catherine García-Reimbert ◽  
Raúl Guinovart-Díaz ◽  
...  
Keyword(s):  
Complex Permittivity ◽  
Periodic Composites ◽  
Analytical Formulas ◽  
Gain And Loss
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