A large plate of a completely brittle material is put under an 85 MPa tensile stress....
A large plate of a completely brittle material is put under an 85 MPa tensile stress. The Young's modulus of this material is 140 GPa, and its surface energy is 450 mJ/m2. A crack exists at the edge of the plate with the plane of the crack perpendicular to the tensile stress. Use the Griffith equation to calculate the maximum crack depth that can be tolerated without fracturing the plate under the 85 MPa tensile stress. (hint: A joule is equivalent to a N·m, so the surface energy of 0.450 J/m2 is equivalent to 0.450 N/m.)
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A large plate of a completely brittle material is put under an
85 MPa tensile stress....
1. A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 8...
1. A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 82.4 MPavm. If the plate is exposed to a tensile stress of 345 MPa during service use, determine the minimum length of a surface crack that will lead to fracture. Assume a value of 1.0 for Y. Maximum stress at tip of elliptically shaped crack Pt 2Ery, 1/2 critical stress required for crack propagation in a brittle material πα KIe YoeVra Fracture...
A large flat plate is subjected to a constant-stress-amplitude uniaxial cyclic tensile stress. Compute the surface crac...
A large flat plate is subjected to a constant-stress-amplitude uniaxial cyclic tensile stress. Compute the surface crack length after 7.0x10 loading cycles. Assume the initial edge surface crack length of 1.80 mm and a maximum tensile stress of 160 MPa. The minimum tensile stress is 0, Assume m = 1.8 and A = 7.5×10-12 in MPa and meter units. Assume Y -1.25.
A large flat plate is subjected to a constant-stress-amplitude uniaxial cyclic tensile stress. Compute the surface crack length...
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...
A large flat plate is subjected to a constant-stress-amplitude fatigue loading. Before the fatigue test, the precrack l...
A large flat plate is subjected to a constant-stress-amplitude fatigue loading. Before the fatigue test, the precrack length in the material was 1.25 mm. The yield strength of this material is 300 MPa; the Young's modulus is 211 GPa; the fracture resistance (the
A large flat plate is subjected to a constant-stress-amplitude fatigue loading. Before the fatigue test, the precrack length in the material was 1.25 mm. The yield strength of this material is 300 MPa; the Young's modulus is...
A large flat plate is subjected to constant-amplitude uniaxial cyclic tensile stresses of a maximum stress...
A large flat plate is subjected to constant-amplitude uniaxial cyclic tensile stresses of a maximum stress of 147 and a minimum stress of 32 MPa. If before testing the largest surface crack is 0.98 mm and the plain-strain fracture toughness of the plate is 33.4 MPa m1/2, estimate the fatigue life of the plate in cycles to failure. For the plate, m = 3.7 and A = 5.0 x 10-12 in MPa and meter units. Assume Y = 1.14
Rapid cooling (thermal shock) of a thin layer of material causes a thermal shock stress. the thermal shock stress can b...
Rapid cooling (thermal shock) of a thin layer of material causes a thermal shock stress. the thermal shock stress can be estimated by Εα(ΔT) σ, - σ 1-v Assume that a piece of materials in the table below contains a crack of a depth a 0.5 mm, calculate the surface temperature change necessary to cause brittle fracture for each material [6 marks]. Rank the materials in thermal shock resistance from the largest to the least [2 marks] hint: Y-0.72 small...
material science s 4 (A) Alloy bar 3340N then Yolsa axi-2 (B) Provide two solutions to improve the fatigue life of a mechanical part (C) Draw or Describe the classification Scheme for the various...
material science
s 4 (A) Alloy bar 3340N then Yolsa axi-2 (B) Provide two solutions to improve the fatigue life of a mechanical part (C) Draw or Describe the classification Scheme for the various types of composite matcrials, Le what are the different types of composite materials maximum allowable surface crack length if the surface energy of MgO is 1.0 /m2 (modulus of elasticity of MgO is 225 GPa)? 5 (A) A MgO component must not fail when a tensile...
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...
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 plate is fabricated from a steel alloy that has a plane strain fracture toughness of 82.4 MPavm. If the plate is exposed to a tensile stress of 345 MPa during service use, determine the minimum length of a surface crack that will lead to fracture. Assume a value of 1.0 for Y. Maximum stress at tip of elliptically shaped crack Pt 2Ery, 1/2 critical stress required for crack propagation in a brittle material πα KIe YoeVra Fracture...
A large flat plate is subjected to a constant-stress-amplitude uniaxial cyclic tensile stress. Compute the surface crack length after 7.0x10 loading cycles. Assume the initial edge surface crack length of 1.80 mm and a maximum tensile stress of 160 MPa. The minimum tensile stress is 0, Assume m = 1.8 and A = 7.5×10-12 in MPa and meter units. Assume Y -1.25.
A large flat plate is subjected to a constant-stress-amplitude uniaxial cyclic tensile stress. Compute the surface crack length...
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...
A large flat plate is subjected to a constant-stress-amplitude fatigue loading. Before the fatigue test, the precrack length in the material was 1.25 mm. The yield strength of this material is 300 MPa; the Young's modulus is 211 GPa; the fracture resistance (the
A large flat plate is subjected to a constant-stress-amplitude fatigue loading. Before the fatigue test, the precrack length in the material was 1.25 mm. The yield strength of this material is 300 MPa; the Young's modulus is...
Rapid cooling (thermal shock) of a thin layer of material causes a thermal shock stress. the thermal shock stress can be estimated by Εα(ΔT) σ, - σ 1-v Assume that a piece of materials in the table below contains a crack of a depth a 0.5 mm, calculate the surface temperature change necessary to cause brittle fracture for each material [6 marks]. Rank the materials in thermal shock resistance from the largest to the least [2 marks] hint: Y-0.72 small...
material science
s 4 (A) Alloy bar 3340N then Yolsa axi-2 (B) Provide two solutions to improve the fatigue life of a mechanical part (C) Draw or Describe the classification Scheme for the various types of composite matcrials, Le what are the different types of composite materials maximum allowable surface crack length if the surface energy of MgO is 1.0 /m2 (modulus of elasticity of MgO is 225 GPa)? 5 (A) A MgO component must not fail when a tensile...
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...
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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