Effective conductivities of two-phase composites with a singular phase
نویسنده
چکیده
We calculate the effective conductivity of a two-phase composite with a periodic array of inhomogeneities. The shape of the inhomogeneities is assumed to be a periodic E-inclusion. The effective conductivity is expressed in terms of the volume fraction of the inhomogeneities and a matrix, which characterizes the shape of the periodic E-inclusion. This solution is rigorous, closed-form, and applicable to situations that the conductivity of the inhomogeneities is singular, i.e., zero or infinite. Further, when the periodic E-inclusion degenerates to a periodic array of slits with vanishing volume fraction, we give explicit solutions to local fields and effective conductivity of the composite with singular inhomogeneities. © 2009 American Institute of Physics. DOI: 10.1063/1.3110026
منابع مشابه
Optimal design of manufacturable three-dimensional composites with multifunctional characteristics
We present an optimization method to design three-dimensional composite microstructures with multifunctional characteristics. To illustrate the fascinating types of microstructures that can arise in multifunctional optimization, we apply our methodology to the study the simultaneous transport of heat and electricity in three-dimensional, two-phase composites. We assume that phase 1 has a high t...
متن کاملHomogenization of high-contrast and non symmetric conductivities for non periodic columnar structures
In this paper we determine, in dimension three, the effective conductivities of non periodic high-contrast two-phase cylindrical composites, placed in a constant magnetic field, without any assumption on the geometry of their cross sections. Our method, in the spirit of the H-convergence of Murat-Tartar, is based on a compactness result and the cylindrical nature of the microstructure. The homo...
متن کاملDisguised Face Recognition by Using Local Phase Quantization and Singular Value Decomposition
Disguised face recognition is a major challenge in the field of face recognition which has been taken less attention. Therefore, in this paper a disguised face recognition algorithm based on Local Phase Quantization (LPQ) method and Singular Value Decomposition (SVD) is presented which deals with two main challenges. The first challenge is when an individual intentionally alters the appearance ...
متن کاملA two-phase free boundary problem for a semilinear elliptic equation
In this paper we study a two-phase free boundary problem for a semilinear elliptic equation on a bounded domain $Dsubset mathbb{R}^{n}$ with smooth boundary. We give some results on the growth of solutions and characterize the free boundary points in terms of homogeneous harmonic polynomials using a fundamental result of Caffarelli and Friedman regarding the representation of functions whose ...
متن کاملNumerical Investigations of Heat Transfer in Phase Change Materials (pcms) Using Non-thermal Equilibrium Model
Phase change materials (PCMs) are drawing increasing attention of researchers nowadays, and they play a pivotal role in thermal energy storage (TES) used in renewable energy resources applications, since these renewable energy, such as solar energy, wind energy and tidal energy, are intermittent and not available at any time. However, most of PCMs suffer from low thermal conductivities prolongi...
متن کامل