The indentation hardness of a material, H, is often related to the yield strength by H...
The indentation hardness of a material, H, is often related to
the yield strength by H = 3Ꝺy, where Ꝺy is the true yield stress at
a nominal plastic strain of 8%. If the true stress - nominal strain
curve of a material is given by Ꝺ = Aɛn and n is 0.2,
calculate the tensile strength, ꝹTS, of a material for
which the indentation hardness is 600 MN/m2. Assume that tensile
strength ꝹTS = 
Homework Answers
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The indentation hardness of a material, H, is often related to
the yield strength by H...
2. The indentation hardness, H, is found to be given by H-3 ? , where ?...
2. The indentation hardness, H, is found to be given by H-3 ? , where ? true yield stress at a nominal strain of 8%. material is given by: is the 1S If the true stress-strain curve of a Here, A is a material constant and n-0.2 (20%) (b) Calculate the tensile strength of a material for which the indentation hardness (15%) (15%) (a) Determine the yielding strength of the material. is 480MPa. (c) Find the nominal stress and stain...
5. Circle true of false for the following statements: T The resistance ofa material to indentation...
5. Circle true of false for the following statements: T The resistance ofa material to indentation is a qualitative indication of its strength. Ultimate tensile strength is the maximum stress on the engineering stress strain T F curve Young's modulus is closely related to the bonding energies of the atoms. T A bend test is used for brittle materials to describe the material's strength. T F Ductility is frequently quantified as the percent elongation at failure T F tr.
5....
(20%) Question 6. The elastic modulus, yield strength and ultimate strength of a certain material afe...
(20%) Question 6. The elastic modulus, yield strength and ultimate strength of a certain material afe 110 GPa 2400 MPa and 265 MPal respectively. If a cylindrical bar of this material 380 mm long is subjected to a uniaxial tension test and its length is increased by an amount áf O.50 mm under a tensile load ót 6660 N.At the same time its diameter decreased by0,28 mm Calculate; a) The initial diameter of the bar, (8%) d b) Under an...
7. The firure below shows Vickers hardness impression in garnet. The indentation Soad ws 069 N...
7. The firure below shows Vickers hardness impression in garnet. The indentation Soad ws 069 N In Lecture 11, you learn how the hardness, is related to the yield strength (a) Using the 6 um sale marker to measure dimensions, estimate the beness of net and hence its yield strength (2.4 GP, 800 MPa) b) Indentation can also be used to estimate the fracture ohness of a material the cracks stop growing when the stress t asty factor drops to...
Brief Background Penetration hardness is a measure of a materials resistance to indentation. The Rockwell Hardness...
Brief Background Penetration hardness is a measure of a materials resistance to indentation. The Rockwell Hardness test is a standard method for characterizing this property of a material. It uses a small indenter, either a hardened ball or diamond cone (Brale), which is pressed into the sample while measuring depth of penetration. There are several scales to select from as indicated in textbook or the chart found in lab. Each scale refers to the type of indenter used and the...
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...
Prob 1. How much elongation would you see on a tensile coupon of a material elongates...
Prob 1. How much elongation would you see on a tensile coupon of a material elongates when a true stress of 325 MPa is applied? The original length is given as 0.3 m. Also, a true stress of 415 MPa produces a plastic true strain of 0.475. The material has a value of n=0.2.
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...
manifactoring processes 1) Sketch Engineering stress vs. Engineering strain curve and True stress vs. true strain...
manifactoring processes 1) Sketch Engineering stress vs. Engineering strain curve and True stress vs. true strain curve from one uniaxial tension test for an engineering metals that shows power law strain hardening (e.g. aluminum or steel), within the same plot, and identify, from the curves, the material property parameters of: Yield strength (0.2% offset) Uniform engineering strain ultimate tensile strength (eng.) true stress and true strain at the onset of necking K and n from power-law fitting (the range of...
Suppose the tensile yield strength of a bcc metal varies with absolute temperature (7) as oy...
Suppose the tensile yield strength of a bcc metal varies with absolute temperature (7) as oy = (2000 - 47) MN/m², and the metal's crack propagation stress varies with T as Op = (600 +27) MN/m². Calculate the Mode II to Mode III fracture-transition temperature that would be found in tensile testing of this metal.
2. The indentation hardness, H, is found to be given by H-3 ? , where ? true yield stress at a nominal strain of 8%. material is given by: is the 1S If the true stress-strain curve of a Here, A is a material constant and n-0.2 (20%) (b) Calculate the tensile strength of a material for which the indentation hardness (15%) (15%) (a) Determine the yielding strength of the material. is 480MPa. (c) Find the nominal stress and stain...
5. Circle true of false for the following statements: T The resistance ofa material to indentation is a qualitative indication of its strength. Ultimate tensile strength is the maximum stress on the engineering stress strain T F curve Young's modulus is closely related to the bonding energies of the atoms. T A bend test is used for brittle materials to describe the material's strength. T F Ductility is frequently quantified as the percent elongation at failure T F tr.
5....
(20%) Question 6. The elastic modulus, yield strength and ultimate strength of a certain material afe 110 GPa 2400 MPa and 265 MPal respectively. If a cylindrical bar of this material 380 mm long is subjected to a uniaxial tension test and its length is increased by an amount áf O.50 mm under a tensile load ót 6660 N.At the same time its diameter decreased by0,28 mm Calculate; a) The initial diameter of the bar, (8%) d b) Under an...
7. The firure below shows Vickers hardness impression in garnet. The indentation Soad ws 069 N In Lecture 11, you learn how the hardness, is related to the yield strength (a) Using the 6 um sale marker to measure dimensions, estimate the beness of net and hence its yield strength (2.4 GP, 800 MPa) b) Indentation can also be used to estimate the fracture ohness of a material the cracks stop growing when the stress t asty factor drops to...
Brief Background Penetration hardness is a measure of a materials resistance to indentation. The Rockwell Hardness test is a standard method for characterizing this property of a material. It uses a small indenter, either a hardened ball or diamond cone (Brale), which is pressed into the sample while measuring depth of penetration. There are several scales to select from as indicated in textbook or the chart found in lab. Each scale refers to the type of indenter used and the...
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...
Prob 1. How much elongation would you see on a tensile coupon of a material elongates when a true stress of 325 MPa is applied? The original length is given as 0.3 m. Also, a true stress of 415 MPa produces a plastic true strain of 0.475. The material has a value of n=0.2.
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...
Suppose the tensile yield strength of a bcc metal varies with absolute temperature (7) as oy = (2000 - 47) MN/m², and the metal's crack propagation stress varies with T as Op = (600 +27) MN/m². Calculate the Mode II to Mode III fracture-transition temperature that would be found in tensile testing of this metal.
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