Materials Science and Engineering: An Introduction

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

Chapter 8 - Failure - Questions and Problems - Page 292: 8.10

Answer

4.13 mm

Work Step by Step

Required: maximum internal crack length allowable for a Ti-6Al-4V titanium alloy (Table 8.1) component that is loaded to a stress one-half its yield strength. Assume that the value of Y is 1.50 Solution: Using Equation 8.7, and using the values from Table 8.1, $K_{Ic} = 55 MPa \sqrt m$, $σ = σ_{y}/2 = 910 MPa/2 = 455 MPa$, $2a_{c} = \frac{2}{π} (\frac{K_{Ic}}{Yσ})^{2} = \frac{2}{π} (\frac{55 MPa \sqrt m}{(1.50)(455 MPa)})^{2} = 4.134 \times 10^{-3} m = 4.13 mm$
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