Essentials Of Materials Science And Engineering
Essentials Of Materials Science And Engineering
4th Edition
ISBN: 9781337670845
Author: ASKELAND
Publisher: Cengage
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Chapter 17, Problem 17.28P
Interpretation Introduction

Interpretation:

The modulus of elasticity and tensile strength parallel to fibers should be calculated.

Concept introduction:

Rules 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

Volume fraction is defined as

  f=V1V1+V2f=volumefractionV1=volumeoffirstcomponentV2=volumeofsecondcomponent

Modulus of elasticity is defined as the ratio of shear stress to shear strain.

Relation for modulus of elasticity is given as:

  EC=ffEf+fAlEAl

  ffEf are the volume fraction and modulus of elasticity for borsic fiber.

  fAlEAl are the volume fraction and modulus of elasticity for aluminum.

Tensile strength is defined as the ratio of force per unit area.

Relation for tensile strength parallel to fiber is given as,

  TSf=ffTSf+fAlTSfAl

  ffTSf are the volume fraction and tensile strength of fiber.

  fAlTSfAl are the volume fraction and tensile strength of aluminum fiber.

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