Question

In: Physics

Aluminum oxide (Al2O3) has an elastic modulus of 400 GPa and a KIc of 4 MPa•m1/2...

Aluminum oxide (Al2O3) has an elastic modulus of 400 GPa and a KIc of 4 MPa•m1/2 . A specimen is tested in tension and is found to deform elastically up to the point of fracture at a stress of 450 MPa. (a) Make a diagram of engineering stress-engineering strain to show this behavior. (b) Find the strain at fracture. (b) Estimate the flaw size (a) that caused failure (assume Y = 1). (c) If another specimen of the same size is prepared and tested, do you expect failure to be at a stress of 450 MPa again? Why or why not?

Solutions

Expert Solution


Related Solutions

A rectangular glass plate (Young's Modulus 70 GPa, Ultimate Tensile Strength 138 MPa, fracture Toughness Kic...
A rectangular glass plate (Young's Modulus 70 GPa, Ultimate Tensile Strength 138 MPa, fracture Toughness Kic = 1.2 MPa.m0.5) has a length of 200 mm, width of 100 mm and a thickness of 5 mm. The plate is subjected to an in-plane tensile load across its width. (a) What is the maximum load the plate can carry ifit had no flaws?   (b) What is the maximum flaw size that can be tolerated at the centre of the plate before the...
The flow limit of commercial-grade aluminum is given as σ = 120 MPa, the modulus of...
The flow limit of commercial-grade aluminum is given as σ = 120 MPa, the modulus of elasticity is E = 70 GPa and the density is 2.7 gr / cm3. a) There is a 4mm diameter and 3m long wire which made with this material. How many N should be applied to make this wire 3mm longer? b) If a 4 mm diameter wire made of this material is hung from the ceiling, what should be the total length of...
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum...
Young's modulus is a quantitative measure of the stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively (values given in the article "Influence of Material Properties Variability on Springback and Thinning in Sheet Stamping Processes: A Stochastic Analysis" (Intl. J. of Advanced Manuf. Tech., 2010: 117-134)).(a) If X is the sample mean Young's modulus for a random sample of n =...
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum...
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively (values given in the article "Influence of Material Properties Variability on Springback and Thinning in Sheet Stamping Processes: A Stochastic Analysis" (Intl. J. of Advanced Manuf. Tech., 2010: 117–134)). (a) If X is the sample mean Young's modulus for a random sample of n =...
A steel has a modulus of elasticity of 29,000 ksi and an elastic limit of 52...
A steel has a modulus of elasticity of 29,000 ksi and an elastic limit of 52 210 psi. A rod of this material and cross section of 0.0186 in2 and 36 in length is fastened vertically to a beam with a load of 410 lb at the opposite end. Determine: a) If this load is removed, will the bar return to its initial length? Justify the answer; b) The unitary deformation of the bar in these conditions; c) The minimum...
2) Solid aluminum and gaseous oxygen react in a combination reaction to produce aluminum oxide: 4Al...
2) Solid aluminum and gaseous oxygen react in a combination reaction to produce aluminum oxide: 4Al (s) + 3O2 (g) → 2Al2O3 (s) In a particular experiment, 5.0 g of Al reacts with 4.0 g of O2. a) What is the limiting reactant in this reaction? b) What is the theorectical yield of Al2O3? c) How much of the excess reactant is left?
a) A machined steel has the following properties: Sut= 400 MPa, Sy= 350 MPa, and S’e=...
a) A machined steel has the following properties: Sut= 400 MPa, Sy= 350 MPa, and S’e= 200 MPa. The value f = 0.9 Sketch the S-N diagram for this material, label the key points on the graph and compute the material strength (Sf) corresponding to 800,000 loading cycles? b) What value of strength of the materials described above should be used if 3,000,000 loading cycles are expected during the life of this part?
1. Describe how bauxite is converted to aluminium oxide (Al2O3) via the Bayer process? 2. Describe...
1. Describe how bauxite is converted to aluminium oxide (Al2O3) via the Bayer process? 2. Describe the Kroll process used to produce metallic titanium. Give the key chemical equation. 3. Give 2 short application examples of the Ellingham diagram in process metallurgy. 4. Name 2 important fields of application of Ti alloys and an alternative processing route that can provide highest purity Ti. 5. What is the main Al ore and where are the world’s largest reserves? Given the fact...
A metal has a toughness of 748 MPa. Elastic deformation terminates at a strain of 0.010,...
A metal has a toughness of 748 MPa. Elastic deformation terminates at a strain of 0.010, and the material fractures at a total strain of 0.55. The modulus of resilience is 2.50MPa. Plastic deformation can be described by the equation sigma = K(epsilon)^n, where n is 0.18, and assume for this metal the equation is validto the point of fracture. A stress-strain diagram is not required but may help you in determining the answer. The student is expected to know...
2 K[Al(OH)4](aq) + H2SO4(aq) ⟶ K2SO4(aq) + Al2O3(s) + 2H2O(l) K2SO4(aq) + Al2O3(s) + 3 H2SO4(aq)...
2 K[Al(OH)4](aq) + H2SO4(aq) ⟶ K2SO4(aq) + Al2O3(s) + 2H2O(l) K2SO4(aq) + Al2O3(s) + 3 H2SO4(aq) ⟶ 2 KAl(SO4)2(aq) + 3 H2O(l). What is the mole-to-mole ratio between the K[Al(OH)4](aq) and the KAl(SO4)3(aq) product in this reaction? What is the overall mole-to-mole ratio between the aluminum metal reactant and the alum product, KAl(SO4)2•12 H2O(s)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT