12.43 The fracture strength of glass may be increased O by etching away a thin surface layer. It is believed that the etching may alter surface crack geometry (i.e., reduce the crack length and increase the tip radius). Compute the ratio of the etched and origi- nal crack-tip radii for a fourfold increase in frac- ture strength if half of the crack length is removed.

12.43 The fracture strength of glass may be increased O by etching away a thin surface layer. It is believed that the etching may alter surface crack geometry (i.e., reduce the crack length and increase the tip radius). Compute the ratio of the etched and origi- nal crack-tip radii for a fourfold increase in frac- ture strength if half of the crack length is removed.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: In order to calculate the maximum stress at a crack tip for an interior crack, a is equal to Blank 1…

A: Given: In order to calculate the amximum stress at a crack tip for an interior crack, a is equal to…

Q: A new sintering regime is proposed for producing Alumina acetabular liners for total hip…

A: Given data:Alumina has a plain strain fracture toughness = The ultimate tensile strength = 307…

Q: Computational analysis has determined that a particular design of glass ceramic component has a…

Q: I need a clear answer by hand, not by keyboard and fast answer within 20 minutes. Thank you | dybala

Q: [Fracture Toughness] There is an aircraft component made of an aluminum alloy. The plane strain…

A: For the solution refer below images.

Q: Consider a steel plate with a through-thickness edge crack like the one shown in Fig. 6.21f. The…

Q: Compute the magnitude of the maximum stress that exists at the tip of an internal crack having a…

A: Given data: a=2.5×10-2 mmρt=2.5×10-4 mmσo=170 MPa Need to determine the magnitude of the maximum…

Q: The specific surface energy for aluminum oxide is 0.90 N/m, and the elastic modulus is 393 GPa. The…

Q: Calculate the theoretical fracture strength of a brittle material wherein fracture occurs by…

A: As per given question Strss=1200mpa Crack=0.25mm Radius of curvature =1.25×10^3 mm We have find…

Q: Calculate the impacts on size (diameter) and mass/unit length of replacing a natural bone in the leg…

Q: The material has a hardness value of 50 GPa, and an average crack length of 50 nm. If Young's…

A: Step 1:To find the fracture toughness value, we can use the formula for fracture toughness in…

Q: A new sintering regime is proposed for producing Alumina acetabular liners for total hip…

A: Given data:Alumina has a plain strain fracture toughness = The ultimate tensile strength = 307…

Q: length values of 1.5 × 10-2 mm and 7.5 mm, respectively. Given a fiber strength of 3500 MPa and a…

A: Tensile strength is the highest load a material can withstand without cracking when stretched,…

Q: two cylinders are printed on a 3d printer, with a setting of 40% fill rate. This means that the…

A: Fill rate is the percentage of total volume which is filled by plastic. For given problem, fill rate…

Q: metal specimen having an original diameter of 10.07 mm and gauge length of 46.0 mm is pulled in…

A: given:d0=10.07mml0=46mmdf=7.17mmlf=68.9mm

Q: A fracture surface of a metal matrix composite (nickel with silicon carbide fibres) is investigated…

A: When light is used we can not see anything smaller than the wavelength of light and therefore…

Q: Sintered silicon nitride parts are expected to experience tensile stresses 50% of the ultimate…

A: Given data:- tensile stresses (σ) =50% of the ultimate tensile strength Specific surface energy (γ)=…

Q: An MgO component must not fail when a tensile stress of 13.5 MPa (1960 psi) is applied. Determine 8.…

Q: A cylindrical sample has a gauge length of 50.80 mm and original diameter of 12.8 mm. The sample is…

A: Given data as per question d0=12.8 mmdf=6.6 mmLO=50.8 mmLf=72.14 mm(1)calculating % change in…

Q: A metal showed a tensile strength of 414 MPa, assuming that the metal is Q2- flaw-free. A thin crack…

Q: What is the magnitude of the maximum stress that exists at the tip of an internal crack having a…

Q: Prob. 1- What is the magnitude of the maximum stress that exists at the tip of an internal crack…

Q: For the case of a center notched panel that is loaded by concentrated forces acting at the crack…

A: Notched part in a component is the weakest part because at this part the inducement of stresses is…

Q: A silicon carbide rotor fractures at a stress level of 100 MPa. This material has a fracture…

A: Given data Stress = 100 Mpa Fracture toughness = 4 Mpa(m)^(1/2) geometry factor = 1.12 Find the…

Question

12.43 The fracture strength of glass may be increased
O by etching away a thin surface layer. It is believed
that the etching may alter surface crack geometry
(i.e., reduce the crack length and increase the tip
radius). Compute the ratio of the etched and origi-
nal crack-tip radii for a fourfold increase in frac-
ture strength if half of the crack length is removed.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A new sintering regime is proposed for producing Alumina acetabular liners for total hip replacement. If the alumina has a plane strain fracture toughness of 2.7 MPa.mº.5, an ultimate tensile strength of 307 MPa and Y is assumed to be 1.2, which of the following would be the maximum acceptable size of surface flaw? Select one: Ⓒa. 4.8 μm O b. 9.6 μm O c. 19.2 μm O d. 2.4 μm
What is the maxium stress the composite lay-up of S-glass fiberglass of .008" with 21 layers of plys can withstand.
What is the maximum internal flaw size allowable for a 304 Stainless steel alloy that is loaded to a stress two thirds of its yield strength (205 MPa) and it has a fracture toughness of 95 MPa.m0.5. Assume a value of 1.3 for Y
The overall fracture strength of glass may be increased by etching away a thin surface layer. It is thought that the etching can alter the surface crack geometry. Calculate the ratio of the etched and original crack tip radii if the fracture strength increases by a factor of 8 when 48 percent of the crack length is removed.
Compute the fracture stresses in MPa for internal cracks that are 6.00 cm long in a composite of Kevlar 49 in F-155 epoxy with a fracture toughness of 23.0 MPa-m1/2.
A 1.02den silk fiber has reached its maximum tenacity value. How many grams (force) would it take to rupture such fiber when dry? Provide your answer with two (2) decimal positions and no unit Answer:
Question: An MgO component must not fail when a tensile stress of 13.5 MPa (1960 psi) is applied. Determine the maximum allowable surface crack length if the surface energy of MgO is 1.0 J/m2. Data found in Table 7.1 may prove helpful.
A circular specimen of MgO is loaded using a three-point bending mode. Compute the minimum possible radius of the specimen without fracture, given that the applied load is 1000 N (225 lbf), the flexural strength is 105 MPa (15,000 psi), and the separation between load points is 50.0 mm (1.97 in.). i mm
Write the analysis that assumes that the cross-section is constant andhas an axis of symmetry?
[Elastic deformation after plastic deformation] A cylindrical specimen of a brass alloy has a diameter of d0 and alength of l. The tensile stress–strain behavior for this alloy is shown below. (1) The specimen is subjected to a tensile force of F1; then, the force is released. Compute the final length of thespecimen at this time.(2) The specimen is subjected to a tensile force of F2; then, the force is released. Compute the final length of thespecimen at this time.Use d0 = 7.0 mm; l = 90 mm; F1 = 5000N; F2 = 14200N
1. Glass and epoxy have stiffnesses of Eglass = 70 GPa and Eepoxy = 3.5 GPa and fracture toughness values of Kic-glass = KIC-epoxy = 1 MPa√m. a. Which has a higher toughness (GC)? b. What might the broken surfaces look like after failure, and how does that relate to the energy dissipated during fracture?