Stable crack growth occurs when the crack is shorter than a critical length. the yield strength is greater than a critic...
Stable crack growth occurs when
the crack is shorter than a critical length.
the yield strength is greater than a critical value
. the crack is longer than a critical length.
the applied stress is greater than a critical value.
Homework Answers
The Stable crack growth occurs when the crack is shorter than a critical length. First option is correct. In every other cases crack growth is unstable.
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Stable crack growth occurs when the crack is shorter than a critical length. the yield strength is greater than a critic...
1. A large, thick plate contains a through crack with total crack length 2a, lying in the x-axis (figure below). The size of the specimen is much larger than the crack. The toughness of the materi...
1. A large, thick plate contains a through crack with total crack length 2a, lying in the x-axis (figure below). The size of the specimen is much larger than the crack. The toughness of the material is Gc-11.7 KJ / m2 , the Young's modulus of the material is E-200 GPa, the Poisson's ratio v 0.25, and the yield stress is sufficiently high. If the remote stresses are σ o, :: 200 MPa. Try-100 MPa, what should be the critical...
1. A large, thick plate contains a through crack with total crack length 2a, lying in...
1. A large, thick plate contains a through crack with total crack length 2a, lying in the x-axis (figure below). The size of the specimen is much larger than the crack. The toughness of the material is Gc-11.7 KJ / m2 , the Young's modulus of the material is E-200 GPa, the Poisson's ratio v 0.25, and the yield stress is sufficiently high. If the remote stresses are σ o, :: 200 MPa. Try-100 MPa, what should be the critical...
What is the theoretical fracture strength of a brittle material if fracture occurs by the propagation...
What is the theoretical fracture strength of a brittle material if fracture occurs by the propagation of a surface crack 1.0 mm deep and with a tip radius of curvature of 0.01 mm when a stress of 5.0 GPa is applied?
Hint: Use trial and error procedure to identify the critical crack length required for brittle fracture...
Hint: Use trial and error procedure to identify the critical crack length required for brittle fracture Integrate Paris law numerically to obtain number of cycles to failure Problem 3 (40 marks) The cross-section of a prototype gun barrel is shown in the figure below. Under repeatod firing, the barrel rapidly develops an array of 40 radial cracks, which undergo fatigue growth as a result of cyclic pressurization. It is a requirement that the fatigue life of the barrel, based on...
Consider 7075-T6 aluminum with fatigue crack growth in Table 16. Consider 7075-T6 aluminum with fatigue crack...
Consider 7075-T6 aluminum with fatigue crack growth in
Table
16. Consider 7075-T6 aluminum with fatigue crack growth properties as given in Table 6.3. Assuming that 1=0.5 in the Walker equation, @. estimate da/dN versus AK equations in the form of Eq. 6.22a for R=0.4 and 0.8. 6. plot the equations from (a) on a log-log scale along with the R=0 equation. Keep in mind the proper region I limits of the equation. 169x10-5 ©. For a given AK, by what...
Which of the statements (I-IV) is (are) most likely FALSE: I. When shorter maturity treasuries are...
Which of the statements (I-IV) is (are) most likely FALSE: I. When shorter maturity treasuries are yielding less than longer maturity treasuries, the yield curve is considered to be normal II. When shorter maturity treasuries start to yield more than longer maturity treasuries, the bond market is expecting the economy’s growth rate to slow, and the stock market usually falls in value shortly thereafter III. When shorter maturity treasuries are yielding more than longer maturity treasuries, it would be a...
recrystallization? During grain growth? o How is the material strength affected during r o What happens...
recrystallization? During grain growth? o How is the material strength affected during r o What happens on a microstructural level during cold vw ecte amncrusuecire during recovery? During ecovery? During recrystallization? During grain growth? As you read through the sections of Ch. 8, consider the following questions: o What are the similarities & differences between ductile and brittle fracture? o What are the similarities & differences between transgranular and intergranular fracture? o How do cracks cause materials to be weaker...
True or False 1. For a fatigue failure, a part always fails above the ultimate strength...
True or False 1. For a fatigue failure, a part always fails above the ultimate strength of the material. 2. For a ductile material, the tensile yield strength and the compressive yield strength are not equal 3. Mode I of crack propagation occurs due to compressive stress 4. Distortion energy theory is used to predict failure for brittle materials 5. Temperature does not affect the endurance limit of a material 6. For a fatigue failure, a part always fails above...
3. A square rod of 500 mm long with a width of 10 mm is subjected...
3. A square rod of 500 mm long with a width of 10 mm is subjected to a load of 40000 N., The stress-strain behavior is shown in the Figure below. Based on the information, please answer the following questions: (Note: Pa = N/㎡, J = Nm) (a) Compute the applied stress (5 points). 70 Tensile strength 450 MPa (65.000 ps) -60 400 103 ps MPa 40厂 50 300 40 Yield strength30 250 MPa (36.000 ps) 200 100 20 10...
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...
1. A large, thick plate contains a through crack with total crack length 2a, lying in the x-axis (figure below). The size of the specimen is much larger than the crack. The toughness of the material is Gc-11.7 KJ / m2 , the Young's modulus of the material is E-200 GPa, the Poisson's ratio v 0.25, and the yield stress is sufficiently high. If the remote stresses are σ o, :: 200 MPa. Try-100 MPa, what should be the critical...
1. A large, thick plate contains a through crack with total crack length 2a, lying in the x-axis (figure below). The size of the specimen is much larger than the crack. The toughness of the material is Gc-11.7 KJ / m2 , the Young's modulus of the material is E-200 GPa, the Poisson's ratio v 0.25, and the yield stress is sufficiently high. If the remote stresses are σ o, :: 200 MPa. Try-100 MPa, what should be the critical...
Hint: Use trial and error procedure to identify the critical crack length required for brittle fracture Integrate Paris law numerically to obtain number of cycles to failure Problem 3 (40 marks) The cross-section of a prototype gun barrel is shown in the figure below. Under repeatod firing, the barrel rapidly develops an array of 40 radial cracks, which undergo fatigue growth as a result of cyclic pressurization. It is a requirement that the fatigue life of the barrel, based on...
Consider 7075-T6 aluminum with fatigue crack growth in
Table
16. Consider 7075-T6 aluminum with fatigue crack growth properties as given in Table 6.3. Assuming that 1=0.5 in the Walker equation, @. estimate da/dN versus AK equations in the form of Eq. 6.22a for R=0.4 and 0.8. 6. plot the equations from (a) on a log-log scale along with the R=0 equation. Keep in mind the proper region I limits of the equation. 169x10-5 ©. For a given AK, by what...
recrystallization? During grain growth? o How is the material strength affected during r o What happens on a microstructural level during cold vw ecte amncrusuecire during recovery? During ecovery? During recrystallization? During grain growth? As you read through the sections of Ch. 8, consider the following questions: o What are the similarities & differences between ductile and brittle fracture? o What are the similarities & differences between transgranular and intergranular fracture? o How do cracks cause materials to be weaker...
3. A square rod of 500 mm long with a width of 10 mm is subjected to a load of 40000 N., The stress-strain behavior is shown in the Figure below. Based on the information, please answer the following questions: (Note: Pa = N/㎡, J = Nm) (a) Compute the applied stress (5 points). 70 Tensile strength 450 MPa (65.000 ps) -60 400 103 ps MPa 40厂 50 300 40 Yield strength30 250 MPa (36.000 ps) 200 100 20 10...
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...
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