Essentials of Materials Science and Engineering, SI Edition
Essentials of Materials Science and Engineering, SI Edition
4th Edition
ISBN: 9781337672078
Author: ASKELAND, Donald R., WRIGHT, Wendelin J.
Publisher: Cengage Learning
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Chapter 17, Problem 17.37P
Interpretation Introduction

Interpretation:

The allowed range of diameter for copper wire should be determined.

Concept introduction:

Thermal conductivity parallel to fiber is defined by the relation,

Relation for modulus of elasticity is given as:

  kC=fCukCu+fAgkAg

  fCukCu are the volume fraction and thermal conductivity for copper.

  fAgkAg are the volume fraction and thermal conductivity for silver.

Volume fraction is defined as:

  f=V1V1+V2f=volumefractionV1=volumeoffirstcomponentV2=volumeofsecondcomponentWhereV1andV2V1=weightoffirstcomponentdensityoffirstcomponentV2=weightofsecondcomponentdensityofsecondcomponentintermsofweightanddensity

  f=V1=weightoffirstcomponentdensityoffirstcomponentV1=weightoffirstcomponentdensityoffirstcomponent+V2=weightofsecondcomponentdensityofsecondcomponent

The above relation is used for calculation of volume fractions and density of composite

A rule of mixtures for particulate composites is:

  ρc=( f i ρ i )for{i=1..........n}ρc=f1ρ1+f2ρ2...................fnρn

Where

  ρc= density of composite

  fi= volume fraction of i component

  ρi= density of i component

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