The manufacturer of a product that is subjected to repetitive cycles has specified that the product should be removed from service when any crack reaches 15% of the critical crack length required to cause fracture. Consider a crack that is initially 0.02 mm long in a material with a fracture toughness of 55 MPaVm. The product is continuously cycled between compres- sive and tensile stresses of 300 MPa at a constant frequency. Assume external cracks for whichƒ= 1.12. The materials constants for these units are n- 3.4 and C- 2x 10-1. (a) What is the critical crack length required to cause fracture? (b) How many cycles will cause product failure? (c) If the product is removed from service as specified by the manufacturer, how much of the useful life of the product remains?

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter11: Fracture And Fatigue
Section: Chapter Questions
Problem 11.11P
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The manufacturer of a product that is
subjected to repetitive cycles has specified
that the product should be removed from
service when any crack reaches 15% of
the critical crack length required to cause
fracture.
Consider a crack that is initially
0.02 mm long in a material with a fracture
toughness of 55 MPaVm. The product
is continuously cycled between compres-
sive and tensile stresses of 300 MPa at
a constant frequency. Assume external
cracks for whichƒ= 1.12. The materials
constants for these units are n- 3.4 and
C- 2x 10-1.
(a) What is the critical crack length
required to cause fracture?
(b) How many cycles will cause product
failure?
(c) If the product is removed from service
as specified by the manufacturer, how
much of the useful life of the product
remains?
Transcribed Image Text:The manufacturer of a product that is subjected to repetitive cycles has specified that the product should be removed from service when any crack reaches 15% of the critical crack length required to cause fracture. Consider a crack that is initially 0.02 mm long in a material with a fracture toughness of 55 MPaVm. The product is continuously cycled between compres- sive and tensile stresses of 300 MPa at a constant frequency. Assume external cracks for whichƒ= 1.12. The materials constants for these units are n- 3.4 and C- 2x 10-1. (a) What is the critical crack length required to cause fracture? (b) How many cycles will cause product failure? (c) If the product is removed from service as specified by the manufacturer, how much of the useful life of the product remains?
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