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Complex Variables and Elliptic Equations
An International Journal
Volume 54, 2009 - Issue 12
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Original Articles

Effective conductivity of a composite material with non-ideal contact conditions

L.P. Castro Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
,
E. Pesetskaya Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal; Faculty of Mechanical-Mathematical, Belarusian State University, 220030 Minsk, Belarus
&
S.V. Rogosin Faculty of Mechanical-Mathematical, Belarusian State University, 220030 Minsk, BelarusCorrespondence[email protected]
Pages 1085-1100 | Received 29 Jan 2009, Accepted 28 Jul 2009, Published online: 17 Nov 2009

Citations (20)

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Read on this site (2)

Luís Filipe Pinheiro de Castro & Ekaterina Pesetskaya. (2016) Properties of a Composite Material with Mixed Imperfect Contact Conditions. Mathematical Modelling and Analysis 21:3, pages 283-303.
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Massimo Lanza de Cristoforis & Paolo Musolino. (2013) A singularly perturbed nonlinear Robin problem in a periodically perforated domain: a functional analytic approach†. Complex Variables and Elliptic Equations 58:4, pages 511-536.
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Articles from other publishers (18)

Matteo Dalla Riva, Massimo Lanza de Cristoforis & Paolo MusolinoMatteo Dalla Riva, Massimo Lanza de Cristoforis & Paolo Musolino. 2021. Singularly Perturbed Boundary Value Problems. Singularly Perturbed Boundary Value Problems 513 614 .
Massimo Lanza de Cristoforis & Paolo Musolino. (2019) Asymptotic Behaviour of the Energy Integral of a Two-Parameter Homogenization Problem with Nonlinear Periodic Robin Boundary Conditions. Proceedings of the Edinburgh Mathematical Society 62:4, pages 985-1016.
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Paolo Luzzini, Paolo Musolino & Roman Pukhtaievych. (2019) Shape analysis of the longitudinal flow along a periodic array of cylinders. Journal of Mathematical Analysis and Applications 477:2, pages 1369-1395.
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Matteo Dalla Riva, Paolo Musolino & Roman Pukhtaievych. (2019) Series expansion for the effective conductivity of a periodic dilute composite with thermal resistance at the two-phase interface. Asymptotic Analysis 111:3-4, pages 217-250.
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LP Castro & E Pesetskaya. (2018) A composite material with inextensible-membrane-type interface. Mathematics and Mechanics of Solids 24:2, pages 499-510.
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Roman Pukhtaievych. (2018) Effective conductivity of a periodic dilute composite with perfect contact and its series expansion. Zeitschrift für angewandte Mathematik und Physik 69:3.
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Roman Pukhtaievych. (2018) Asymptotic behavior of the solution of singularly perturbed transmission problems in a periodic domain. Mathematical Methods in the Applied Sciences 41:9, pages 3392-3413.
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Massimo Lanza de Cristoforis & Paolo Musolino. (2018) Two-parameter anisotropic homogenization for a Dirichlet problem for the Poisson equation in an unbounded periodically perforated domain. A functional analytic approach. Mathematische Nachrichten 291:8-9, pages 1310-1341.
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. 2018. Computational Analysis of Structured Media. Computational Analysis of Structured Media 41 78 .
Massimo Lanza de Cristoforis & Paolo Musolino. (2017) Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach. Revista Matemática Complutense 31:1, pages 63-110.
Crossref
M. J. Nieves. (2017) Asymptotic Analysis of Solutions to Transmission Problems in Solids with Many Inclusions. SIAM Journal on Applied Mathematics 77:4, pages 1417-1443.
Crossref
Massimo Lanza de Cristoforis & Paolo Musolino. (2016) A singularly perturbed Neumann problem for the Poisson equation in a periodically perforated domain. A functional analytic approach. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 96:2, pages 253-272.
Crossref
L.P. Castro, D. Kapanadze & E. Pesetskaya. (2015) Effective conductivity of a composite material with stiff imperfect contact conditions. Mathematical Methods in the Applied Sciences 38:18, pages 4638-4649.
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L.P. Castro, D. Kapanadze & E. Pesetskaya. (2015) A heat conduction problem of 2D unbounded composites with imperfect contact conditions. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 95:9, pages 952-965.
Crossref
Massimo Lanza de Cristoforis & aolo Musolino. (2014) A quasi-linear heat transmission problem in a periodic two-phase dilute composite. A functional analytic approach. Communications on Pure and Applied Analysis 13:6, pages 2509-2542.
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M. Dalla Riva & P. Musolino. (2013) A singularly perturbed nonlinear traction problem in a periodically perforated domain: a functional analytic approach. Mathematical Methods in the Applied Sciences 37:1, pages 106-122.
Crossref
Matteo Dalla Riva & Paolo Musolino. (2013) A Singularly Perturbed Nonideal Transmission Problem and Application to the Effective Conductivity of a Periodic Composite. SIAM Journal on Applied Mathematics 73:1, pages 24-46.
Crossref
Paolo Musolino. 2013. Advances in Harmonic Analysis and Operator Theory. Advances in Harmonic Analysis and Operator Theory 269 289 .

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