Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 11, Problem 7ETSQ
To determine
The magnitude of stress concentration factor for crack.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A thin plate of a ceramic material with E = 225 GPa is loaded in tension, developing a stress of 450 MPa. Is the specimen likely to fail if the most severe flaw present is an internal crack oriented perpendicular to the load axis that has a total length 0.25 mm and a crack tip radius of curvature equal to 1 μm?
Failure of engineering materials
A specimen of a 4340 steel alloy with a plane strain fracture toughness of 54.8 MPa is exposed to a stress of 1766 MPa. Assume that the parameter Y has a value of 1.6.If the largest surface crack is 0.5236 mm long, determine the critical stress .
A structural component in the shape of a flat plate 20.8 mm thick is to be made
from a metal with yield strength of 533 MPa and a critical fracture toughness of
22.0 MPa-m!2. Assume a crack forms in the plate, and the geometry of the crack
yields a Y value of 1.5. If the plate is designed to a design stress equivalent to 0.3
times the yield strength, what is the critical crack length?
Equations:
1/2
()
Om
К
= 2
σο
K. = YocTa
%3D
Pt
Chapter 11 Solutions
Materials Science And Engineering Properties
Ch. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 6CQCh. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQ
Ch. 11 - Prob. 11CQCh. 11 - Prob. 12CQCh. 11 - Prob. 13CQCh. 11 - Prob. 14CQCh. 11 - Prob. 15CQCh. 11 - Prob. 16CQCh. 11 - Prob. 17CQCh. 11 - Prob. 18CQCh. 11 - Prob. 19CQCh. 11 - Prob. 20CQCh. 11 - Prob. 21CQCh. 11 - Prob. 22CQCh. 11 - Prob. 23CQCh. 11 - Prob. 24CQCh. 11 - Prob. 25CQCh. 11 - Prob. 26CQCh. 11 - Prob. 27CQCh. 11 - Prob. 28CQCh. 11 - Prob. 29CQCh. 11 - Prob. 30CQCh. 11 - Prob. 1ETSQCh. 11 - Prob. 2ETSQCh. 11 - Prob. 3ETSQCh. 11 - Prob. 4ETSQCh. 11 - Prob. 5ETSQCh. 11 - Prob. 6ETSQCh. 11 - Prob. 7ETSQCh. 11 - Prob. 8ETSQCh. 11 - Prob. 9ETSQCh. 11 - Prob. 10ETSQCh. 11 - Prob. 11.1PCh. 11 - Prob. 11.2PCh. 11 - Prob. 11.3PCh. 11 - Prob. 11.4PCh. 11 - Prob. 11.5PCh. 11 - Prob. 11.6PCh. 11 - Prob. 11.7PCh. 11 - Prob. 11.8PCh. 11 - Prob. 11.9PCh. 11 - Prob. 11.10PCh. 11 - Prob. 11.11PCh. 11 - Prob. 11.12PCh. 11 - Prob. 11.13PCh. 11 - Prob. 11.14P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- Which of the following statements regarding brittle failure and crack propagation is CORRECT? Elastic energy is consumed when a crack propagates, due to unloading of a volume of material. Energy is released when the surface area of a material increases, as a result of crack propagation. O The stress at the tip of a crack is less than the nominal stress (force over the cross-sectional area of the component) because the stress flows around the defect. O The fracture toughness of a material is its resistance to an increase in the radius of curvature of a crack. O A material will fail in brittle fashion when the stress intensity at the crack tip is greater than the fracture toughness of the material.arrow_forwardAccording to Irwin plastic deformation at the crack tip results in an apparently longer crack Kl= o √(a + ry) where ry is the radius of the plastic zone, what will the Kl solution became if we realize that Kl affects the size of . ry while ry also affects the size of klarrow_forwardA very large, steel plate of yield stress 200 MPa has a crack at the centre of length 18 mm, orientated along the x-axis. If the plate is subjected to far field tensile loading of magnitude 179 MPa and is assumed to be in a state of plane strain, determine the extent of the plastic region at the crack tip, along the x-axis. You may assume Poisson's ratio is (1/3). Express your answer as an integer value of mm.arrow_forward
- 2- What is the largest size (mm) internal through crack that a thick plate of aluminium alloy 7075-T651 can support at an applied stress of (a) three-quarters of the yield strength and (b) one-half of the yield strength? Assume Y = 1. for 7075-T651, KỊC = 24.2 MPa ym and oYS = 495 MPa.arrow_forwardA specimen of a 4340 steel alloy having a plane strain fracture toughness of 45 MPA/M is exposed to a stress of 1000 MPa (145,000 psi). Will this specimen experience fracture if it is known that the largest surface crack is 0.75 mm (0.03 in.) long? Why or why not? Assume that the parameter Y has a value of 1.0.arrow_forwardA metal is subjected to a stress alternating at 167 revolutions per minute between 335 MPa and -251.25 MPa. Assuming that f=1.09, and fatigue parameters are C=1.7 x 10-12 and n=2.91, what is the growth rate of a surface crack when it reaches a length 0.16 mm in units of nanometer per secondarrow_forward
- A very large, steel plate of yield stress 200 MPa and Poisson's ratio 0.3 has a crack at the centre of length 34 mm, orientated along the x-axis. If the plate is subjected to far field tensile loading of magnitude 177 MPa and is assumed to be in a state of plane stress, determine the extent of the plastic region at the crack tip, along the x-axis. You may assume Poisson's ratio is (1/3). Express your answer as an integer value of mm.arrow_forwardA material containing cracks of initial length 0.010 mm is subjected to alternating tensile stresses of 25 and 125 MPa for 350,000 cycles The material is then subjected to alternating tensile and compressive stresses of 250 MPa. How many of the larger stress amplitude cycles can be sustained before failure? The material has a fracture toughness of 25 MPaVm and materials constants of n-3.1 and C-1.8 × 10-1º for these units. Assume f- 1.0 for all cracksarrow_forwardM9arrow_forward
- A ceramic part is used under a complete reverse cyclic stress with a stress amplitude (S) of 250 MPa. The yield strength and fracture toughness of materials is 550 MPa and 12.5 MPa*sqrt(m), respectively. Y is 1.4. What is the critical surface crack length?arrow_forwardcompare the effect of presence of a notch on ductile and brittle materials in terms of fracture behaviourarrow_forwardA component made of Aluminium 6061-T651 has an edge crack with length equal to 15 mm, as shown The yield stress of the material is oy = 280 MPa and its fracture toughness (Kic) ranges from 40 MN/m3/2 to 60 MN/m³/2 Consider now the same edge crack in a semi-infinite plate. Determine the critical stress to avoid fracture. P I I I I ← 15 mm P↓ 100 mm 30 mmarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Materials Science And Engineering PropertiesCivil EngineeringISBN:9781111988609Author:Charles GilmorePublisher:Cengage Learning
Materials Science And Engineering Properties
Civil Engineering
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Cengage Learning