Materials Science and Engineering: An Introduction

Published by Wiley
ISBN 10: 1118324579
ISBN 13: 978-1-11832-457-8

Chapter 6 - Mechanical Properties of Metals - Questions and Problems - Page 212: 6.45

Answer

$ε_{T} = 0.348 $

Work Step by Step

Given: true plastic strain of metal is 0.19 true stress- 500 MPa value of k in Equation 6.19 - 825 MPa Required: true strain from application of 600 MPa Solution: Using Equation 6.19: $n = \frac{ log σ_{T} - log K}{log ε_{T} } = \frac{log (500 MPa) - log (825 MPa)}{ log (0.19)} = 0.302$ Expressing $ε_{T}$ as an independent variable in Equation 16.9: $ε_{T} = (\frac{σ_{T}}{K})^{1/n} = (\frac{600 MPa}{825 MPa})^{1/0.302} = 0.348 $
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