Homework Answers
The expression for the maximum stress at crack tip is presented below. It can be observed from here that the maximum stress is dependent on length of major axis of elliptical crack and the radius of curvature of the crack. The term Kt is the stress concentration factor. If the radius of curvature of the crack geometry is less, the stress concentration factor will be high. If the stress concentration factor is high, the maximum stress will be high.
Plane strain fracture toughness is the measure of the resistance of material to any crack extension under linear elastic conditions i.e. when there is little to no deformation.
Add Answer to:
5. a) Explain how the tip shape amplifies the applied stress with the help of maximum...
11 Flaws are detrimental to fracture strength because an applied stress may be amplified or concentrated...
11 Flaws are detrimental to fracture strength because an applied stress may be amplified or concentrated at the tip of a flaw. (5 (5 Points) True False 12 Fracture toughness, in the presence of a crack, is related to the critical stress for crack propagation. (5 Points) True False 13 Plane strain fracture toughness, KIC, gives us an estimate of the magnitude of local stresses near a crack tip that govern fast fracture. (5 Points) True False 14 Elastic strain...
Chapter 9 1. What is the magnitude of the maximum stress that exists at the tip of an internal cr...
Chapter 9 1. What is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 2.5 x 10-4 mm (10-5 in.) and a crack length of 2.5 x 10-2 mm (10-3 in.) when a tensile stress of 170 MPa (25,000 psi) is applied? 2. A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 55 MPa m (50 ksi in.). If the plate is...
Q2 (a) Explain in detail the terms Ductile and Brittle fracture. Include in your answer sketches,...
Q2 (a) Explain in detail the terms Ductile and Brittle fracture. Include in your answer sketches, examples, stages (6 marks) and microstructures expected. Explain using sketches and equations the terms Stress Concentration at the tip of a pore and Plane Strain Fracture Toughness. (b) 7 marks) A polymer that contains internal flaws 1 mm in length fails at a stress of 25 MPa. Determine the plane strain fracture toughness of the polymer. Comment on your answer. (c) 7 marks
What is the magnitude of the maximum stress that exists at the tip of an internal...
What is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 4 × 10-4 mm (1.575 × 10-5 in.) and a crack length of 3 × 10-2 mm (1.181 × 10-3 in.) when a tensile stress of 160 MPa (23210 psi) is applied?
SECTION A Q1. (a) The standards for testing the fracture toughness of materials define the shape...
SECTION A Q1. (a) The standards for testing the fracture toughness of materials define the shape and proportion of the specimens but not their size. Explain why this is and why it is necessary to use specimens of different sizes for these tests. [5 marks] (b) You are testing samples of steel with a yield stress of 1200 MPa. Initial results show that the fracture toughness is 120 MPavm. The specimens are 10 mm thick. Determine whether the specimens are...
1.Below are stress-strain curves for 5 steels. (a) annealed low carbon steel, (b) a steel alloy...
1.Below are stress-strain curves for 5 steels. (a) annealed low carbon steel, (b) a steel alloy which has a DBTT of +50°C (c) 304 stainless steel (d) nearly pure coarse grained Fe Identify the modulus, yield stress, tensile strength, ductility, and toughness. Identify the amount of elastic strain at yield stress, tensile strength, point right before fracture, point right after fracture. 2000 -Low C steel, 1800 steel alloy, DBTT +50C 304 stainless pure Fe 1600 1400 1200 t 1000 800...
1-Determine the % elongation, yield stress and ultimate tensile strength of the material tested above 2-Calculate...
1-Determine the % elongation, yield stress and ultimate tensile
strength of the material tested above
2-Calculate the elastic modulus of the material tested above
3-If a 200mm cylindrical rod of the material tested above, with
radius 20mm, was subjected to a tensile load of 200kN, what would
the length be?
4-An underground wastewater steel pipe with 2mm walls carries an
ammonia solution of 40 g/m3. The pipe is in contact with
groundwater (assume 0 g/m3 ammonia). Determine the
diffusion rate...
5) Find the moment M, if the maximum tensile stress in the T shape cross section...
5) Find the moment M, if the maximum tensile stress in the T
shape cross section js 1 ksi. Determine the maximum compressive
stress.
7) a-a is 10 in wide and 6 in deep. Determine maximum tensile
and comoressive stress on a-a
Find the moment M, if the maximum tensile stress in the T-shape cross section is 1ksi. Determine the maximum compressive stress. 2 in 10 in 2 in 4 in -1 in 1 inz 2 in 11 in 2...
Deformation and Fracture Mechanics 1. (Fracture toughness) (a) An AISI 4340 steel plate has a width...
Deformation and Fracture Mechanics
1. (Fracture toughness) (a) An AISI 4340 steel plate has a width W of 30 cm and has a central crack 2a of 3 mm. The plate is under a uniform stress, ?·This steel has a Kic value of 50 m2. Find the maximum stress for this crack length. (b) If the operating stress is 1500 MPa, compute the maximum crack size that the steel may have without failure. 2. (Plastic zone radius) The size of...
4. Consider 4 materials A, B, C, D that all have edge cracks of width a...
4. Consider 4 materials A, B, C, D that all have edge cracks of width a = plane-strain fracture toughness (i.e, Kic) of A, B, C and D are, respectively, 1 MPa mo5 5 MPa m0.5, 10 MPa mo5, and 20 MPa mo.5. If each of these materials A, B, C and D, is subjected to fatigue loading where the stresses vary from a minimum of 0 MPa to a maximum of 100 MPa, and the crack sizes increase due...
11 Flaws are detrimental to fracture strength because an applied stress may be amplified or concentrated at the tip of a flaw. (5 (5 Points) True False 12 Fracture toughness, in the presence of a crack, is related to the critical stress for crack propagation. (5 Points) True False 13 Plane strain fracture toughness, KIC, gives us an estimate of the magnitude of local stresses near a crack tip that govern fast fracture. (5 Points) True False 14 Elastic strain...
Chapter 9 1. What is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 2.5 x 10-4 mm (10-5 in.) and a crack length of 2.5 x 10-2 mm (10-3 in.) when a tensile stress of 170 MPa (25,000 psi) is applied? 2. A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 55 MPa m (50 ksi in.). If the plate is...
Q2 (a) Explain in detail the terms Ductile and Brittle fracture. Include in your answer sketches, examples, stages (6 marks) and microstructures expected. Explain using sketches and equations the terms Stress Concentration at the tip of a pore and Plane Strain Fracture Toughness. (b) 7 marks) A polymer that contains internal flaws 1 mm in length fails at a stress of 25 MPa. Determine the plane strain fracture toughness of the polymer. Comment on your answer. (c) 7 marks
SECTION A Q1. (a) The standards for testing the fracture toughness of materials define the shape and proportion of the specimens but not their size. Explain why this is and why it is necessary to use specimens of different sizes for these tests. [5 marks] (b) You are testing samples of steel with a yield stress of 1200 MPa. Initial results show that the fracture toughness is 120 MPavm. The specimens are 10 mm thick. Determine whether the specimens are...
1.Below are stress-strain curves for 5 steels. (a) annealed low carbon steel, (b) a steel alloy which has a DBTT of +50°C (c) 304 stainless steel (d) nearly pure coarse grained Fe Identify the modulus, yield stress, tensile strength, ductility, and toughness. Identify the amount of elastic strain at yield stress, tensile strength, point right before fracture, point right after fracture. 2000 -Low C steel, 1800 steel alloy, DBTT +50C 304 stainless pure Fe 1600 1400 1200 t 1000 800...
1-Determine the % elongation, yield stress and ultimate tensile
strength of the material tested above
2-Calculate the elastic modulus of the material tested above
3-If a 200mm cylindrical rod of the material tested above, with
radius 20mm, was subjected to a tensile load of 200kN, what would
the length be?
4-An underground wastewater steel pipe with 2mm walls carries an
ammonia solution of 40 g/m3. The pipe is in contact with
groundwater (assume 0 g/m3 ammonia). Determine the
diffusion rate...
5) Find the moment M, if the maximum tensile stress in the T
shape cross section js 1 ksi. Determine the maximum compressive
stress.
7) a-a is 10 in wide and 6 in deep. Determine maximum tensile
and comoressive stress on a-a
Find the moment M, if the maximum tensile stress in the T-shape cross section is 1ksi. Determine the maximum compressive stress. 2 in 10 in 2 in 4 in -1 in 1 inz 2 in 11 in 2...
Deformation and Fracture Mechanics
1. (Fracture toughness) (a) An AISI 4340 steel plate has a width W of 30 cm and has a central crack 2a of 3 mm. The plate is under a uniform stress, ?·This steel has a Kic value of 50 m2. Find the maximum stress for this crack length. (b) If the operating stress is 1500 MPa, compute the maximum crack size that the steel may have without failure. 2. (Plastic zone radius) The size of...
4. Consider 4 materials A, B, C, D that all have edge cracks of width a = plane-strain fracture toughness (i.e, Kic) of A, B, C and D are, respectively, 1 MPa mo5 5 MPa m0.5, 10 MPa mo5, and 20 MPa mo.5. If each of these materials A, B, C and D, is subjected to fatigue loading where the stresses vary from a minimum of 0 MPa to a maximum of 100 MPa, and the crack sizes increase due...
Most questions answered within 3 hours.
-
For a nonpolar solute, why does the mobile phase strength
increase as the solvent becomes less...
asked 59 seconds from now -
The times per week a student uses a lab computer are normally
distributed, with a mean...
asked 6 minutes ago -
Discuss the topic of Health Care as a right or a
privilege. Articulate both sides? What...
asked 18 minutes ago -
M (OH)2 has Ksp =6.85x10^-12.
part A: what is the solubility of M (OH)2 in
water?...
asked 17 minutes ago -
Fixed costs are expenses that are not affected by consumer
demand, so they can be estimated...
asked 22 minutes ago -
Lead(II) nitrate and ammonium iodide react to form lead(II)
iodide and ammonium nitrate according to the...
asked 17 minutes ago -
IN JAVA!! THANK YOU
Assignment Overview
You are to include both of these recursive assignments in...
asked 21 minutes ago -
1. One way to make sure that your essay will have enough support
is to start...
asked 19 minutes ago -
Suppose there are 1000 students in a business administration
program. 620 students are in an IT...
asked 37 minutes ago -
No matter how a company measures the benefits provided
by an online business implementation, it usually...
asked 35 minutes ago -
Let G be an undirected graph and let X be a subset of the
vertices of...
asked 38 minutes ago -
Calculate the effective radiation dosage in rems for a 75 ‑kg
person who is exposed to...
asked 55 minutes ago