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A material with a Young's Modulus of 1 GPa has an edge crack (a) of 1.58...
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...
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 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...
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 Figure 2. The specimen was loaded to 7 You have been provided the tensile test...
1 Figure 2. The specimen was loaded to 7 You have been provided the tensile test results shown in Figure 2. The specimen fracture. Using these results, determine the following: Young's Modulus (3 points). The Yield Stress at 0.2% offset (3 points). The Ultimate Tensile Stress (1 point). The percent elongation at failure (1 point). • The toughness of the material (2 points). --- - -- Stress (o) (MPa) 0.04 0.035 0 0.045 0 0.005 0.01 0.015 0.02 0.025 0.03...
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...
(a) An Al2O3 specimen is being pulled in tension. The specimen contains flaws having a size...
(a) An Al2O3 specimen is being pulled in tension. The specimen contains flaws having a size of 100 um. If the specific surface energy of Al2O3 is 0.8 J/m², what is the fracture stress? Use the Griffith criterion, E = 380 GPa. Use internal crack. (3 points) (b) Estimate the fracture stress if the fracture toughness is 4 MPa m12 Assume two positions for flaw: in the center of an infinite body (2 points) and at the edge (2 points)....
Typical Vickers indentation on a 4 vol% carbon nanotube (CNT) reinforced ZrB2 ceramic composite s...
Typical Vickers indentation on a 4 vol% carbon nanotube (CNT) reinforced ZrB2 ceramic composite shows cracks emanating from the indentation corners (see figure). The indentation was obtained using load of 1000 g and holding time of 15 s (Vickers Hardness tester). Fracture toughness and Hardness of material are given by expressions: 1/2 0.016(5) H/2 1.854P where E is Young's Modulus of the composite (GPa); H is Vickers Hardness (GPa); P is applied load (N); c is diagonal crack length emanating...
1. AA 6061, a high-strength aluminum alloy, has a 0.2% offset yield strength of 37,500-psi and...
1. AA 6061, a high-strength aluminum alloy, has a 0.2% offset yield strength of 37,500-psi and a plane strain fracture toughness (Kic) 26,400-psi (inch) At a service stress equivalent to 80% of the yield strength, will this structure fracture if it contains an edge crack of length 2.24-inches. Assume that the geometric factor, f, is 1.12. 2. A steel alloy, which has a plane strain fracture toughness (Kle) of 49-MPa(m) is exposed to a service stress of 1010-MPa. Is fracture...
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...
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...
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 Figure 2. The specimen was loaded to 7 You have been provided the tensile test results shown in Figure 2. The specimen fracture. Using these results, determine the following: Young's Modulus (3 points). The Yield Stress at 0.2% offset (3 points). The Ultimate Tensile Stress (1 point). The percent elongation at failure (1 point). • The toughness of the material (2 points). --- - -- Stress (o) (MPa) 0.04 0.035 0 0.045 0 0.005 0.01 0.015 0.02 0.025 0.03...
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...
(a) An Al2O3 specimen is being pulled in tension. The specimen contains flaws having a size of 100 um. If the specific surface energy of Al2O3 is 0.8 J/m², what is the fracture stress? Use the Griffith criterion, E = 380 GPa. Use internal crack. (3 points) (b) Estimate the fracture stress if the fracture toughness is 4 MPa m12 Assume two positions for flaw: in the center of an infinite body (2 points) and at the edge (2 points)....
Typical Vickers indentation on a 4 vol% carbon nanotube (CNT) reinforced ZrB2 ceramic composite shows cracks emanating from the indentation corners (see figure). The indentation was obtained using load of 1000 g and holding time of 15 s (Vickers Hardness tester). Fracture toughness and Hardness of material are given by expressions: 1/2 0.016(5) H/2 1.854P where E is Young's Modulus of the composite (GPa); H is Vickers Hardness (GPa); P is applied load (N); c is diagonal crack length emanating...
1. AA 6061, a high-strength aluminum alloy, has a 0.2% offset yield strength of 37,500-psi and a plane strain fracture toughness (Kic) 26,400-psi (inch) At a service stress equivalent to 80% of the yield strength, will this structure fracture if it contains an edge crack of length 2.24-inches. Assume that the geometric factor, f, is 1.12. 2. A steel alloy, which has a plane strain fracture toughness (Kle) of 49-MPa(m) is exposed to a service stress of 1010-MPa. Is fracture...
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