Asymptotic Analysis of the Maxwell Garnett Formula Using the Two-Phase Composite Model-Reference-Cited by-同舟云学术

Asymptotic Analysis of the Maxwell Garnett Formula Using the Two-Phase Composite Model

Published:2015-04 Issue:02 Volume:07 Page:1550025
ISSN:1758-8251
Container-title:International Journal of Applied Mechanics
language:en
Short-container-title:Int. J. Appl. Mechanics

Author:

Andrianov Igor V.¹,Awrejcewicz Jan²³,Starushenko Galina A.⁴

Affiliation:

1. Institute of General Mechanics, RWTH Aachen University, Templergraben 64, D-52056, Aachen, Germany

2. Technical University of Łódź, Department of Automation, Biomechanics and Mechatronics, 1/15 Stefanowski St., PL-90-924, Łódź, Poland

3. Department of Vehicles, Warsaw University of Technology, 84 Narbutta Street, 02-524 Warszawa, Poland

4. Dnipropetrovs'k Regional Institute of State Management of National Academy of State Management at the President of Ukraine, Gogolya 29, UA-49631, Dnipropetrovs'k, Ukraine

Abstract

In this paper, a two-phase computational model of a composite (TwPM) with cylindrical inclusion of square cross-sections and small sizes is proposed. The applied asymptotic techniques devoted to the analysis of the constructed TwPM are validated through a comparison of the results reported by others. A simple analytical formula of the reduced heat transfer parameter for small size of inclusions is derived, and an asymptotic character of Maxwell Garnett (MG) formula is illustrated.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mechanical Engineering,Mechanics of Materials,General Materials Science

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1758825115500258

Reference30 articles.

1. Homogenization procedure and Pade approximations in the theory of composite materials with parallelepiped inclusions

2. Homogenization procedure and Pad approximants for effective heat conductivity of composite materials with cylindrical inclusions having square cross-section

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Study of anisotropy in polydispersed 2D micro and nano-composites by Elbow and K-Means clustering methods;Acta Materialia;2024-09

2. Optimal Sparse Volterra Modeling for Transient Behavior of Turbofan Engines Based on Internet of Things;Journal of Circuits, Systems and Computers;2023-04-15

3. ERT Based Computation of Solid Phase Fraction in Solid-Liquid Flow With Various Object Sizes;IEEE Access;2022

4. Performance prediction in case of the mixed flows turbofan engine;INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019;2020

5. Refinement of the Maxwell Formula for Fiber-Reinforced Composites;Journal of Multiscale Modelling;2019-01-10