Perturbation analysis of the effective conductivity of a periodic composite

Paolo Luzzini; Paolo Musolino

doi:10.3934/nhm.2020015

Perturbation analysis of the effective conductivity of a periodic composite

Paolo Luzzini
, Paolo Musolino

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the effective conductivity λ^eff of a periodic two-phase composite obtained by introducing into an infinite homogeneous matrix a periodic set of inclusions of a different material. Then we study the behavior of λ^eff upon perturbation of the shape of the inclusions, of the periodicity structure, and of the conductivity of each material.

Original language	English
Pages (from-to)	581-603
Number of pages	23
Journal	Networks and Heterogeneous Media
Volume	15
Issue number	4
DOIs	https://doi.org/10.3934/nhm.2020015
Publication status	Published - Dec 2020
Externally published	Yes

Keywords

Effective conductivity
Integral equations
Periodic composite
Perturbed domain
Shape analysis
Transmission problem

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10.3934/nhm.2020015

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title = "Perturbation analysis of the effective conductivity of a periodic composite",

abstract = "We consider the effective conductivity λeff of a periodic two-phase composite obtained by introducing into an infinite homogeneous matrix a periodic set of inclusions of a different material. Then we study the behavior of λeff upon perturbation of the shape of the inclusions, of the periodicity structure, and of the conductivity of each material.",

keywords = "Effective conductivity, Integral equations, Periodic composite, Perturbed domain, Shape analysis, Transmission problem",

author = "Paolo Luzzini and Paolo Musolino",

note = "Publisher Copyright: {\textcopyright} American Institute of Mathematical Sciences.",

year = "2020",

month = dec,

doi = "10.3934/nhm.2020015",

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T1 - Perturbation analysis of the effective conductivity of a periodic composite

AU - Luzzini, Paolo

AU - Musolino, Paolo

N1 - Publisher Copyright: © American Institute of Mathematical Sciences.

PY - 2020/12

Y1 - 2020/12

N2 - We consider the effective conductivity λeff of a periodic two-phase composite obtained by introducing into an infinite homogeneous matrix a periodic set of inclusions of a different material. Then we study the behavior of λeff upon perturbation of the shape of the inclusions, of the periodicity structure, and of the conductivity of each material.

AB - We consider the effective conductivity λeff of a periodic two-phase composite obtained by introducing into an infinite homogeneous matrix a periodic set of inclusions of a different material. Then we study the behavior of λeff upon perturbation of the shape of the inclusions, of the periodicity structure, and of the conductivity of each material.

KW - Effective conductivity

KW - Integral equations

KW - Periodic composite

KW - Perturbed domain

KW - Shape analysis

KW - Transmission problem

UR - https://www.scopus.com/pages/publications/85095863635

U2 - 10.3934/nhm.2020015

DO - 10.3934/nhm.2020015

M3 - Article

SN - 1556-1801

VL - 15

SP - 581

EP - 603

JO - Networks and Heterogeneous Media

JF - Networks and Heterogeneous Media

IS - 4

ER -

Perturbation analysis of the effective conductivity of a periodic composite

Abstract

Keywords

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