MP4702 Advanced Materials and Materials Selection Assignment

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Reference no: EM132563249

MP4702 Advanced Materials and Materials Selection - University Of Central Lancashire

Question 1

You have been asked to design a solar panel for power transmission. The designed material need to be light and cheap with a solid circular cross-section that must support a bending load, F and maximum deflection, δmax without failure. The designed panel has a length, L. Write down an equation for the material cost of the panel in terms of its dimensions, the price per kg of the material, Cm, and the material density, ρ.

Use CES EduPack (Rebranded as Ansys Granta) to create a graph representing the material index and identify the region of the chart with the cheapest materials for the panel.

You will need to decide extra constraints and find out the equations for a panel. You will need to decide your objective and to compare the results with real world materials. You will need to translate the problem, derive the performance index or indexes, select some screening constraint and select the actual material graphically.
You have been asked to discuss the implication of two performance index for the selection of one material for the solar panel. Find the coupling line with the two performance indexes.

You have to document the whole selection process.

[Hint 1]: You will have to decide your own dimensions for the panel and the constraints.

[Hint 2]: 20 percent of the total mark for this Question will be assessed for the clear definition of the problem and for writing down the necessary equations used in the problem.

[Hint 3]: 30 percent of the total mark for this Question will be assessed for the derivation of the material index with correct material performance equation.

[Hint 4]: 20 percent of the total mark for this Question will be assessed for finding the coupling line with two performance indexes.

[Hint 5]: 30 percent of the total mark for this Question will be assessed to the use of CES EduPack for the material selection.

Reminder, as it is an open exercise, each student is expected to have a unique solution as definition of the problem will be unique.

Question 2

A material is required for a light and a cheap column with a solid square cross-section that must support a compressive load, Fcritical without buckling and fast fracture failure. The designed column has a length, L. Write down an equation for the material cost of the column in terms of its dimensions, the price per kg of the material, Cm, and the material density, ρ.

Use CES Edupack (Rebranded as Ansys Granta) to create a graph representing the material index and identify the region of the chart with the cheapest materials for the column.

You will need to decide extra constraints and find out the equations for a column. You will need to decide your objective and to compare the results with real world materials. You will need to translate the problem, derive the performance index or indexes, select some screening constraint and select the actual material graphically. You have to document the whole selection process.

[Hint 1]: You may select materials with minimum mass or minimum cost or both as your objective. You will have to decide your own dimensions for the column and the constraints.

[Hint 2]: 20 percent of the total mark for this Question will be assessed for the clear definition of the problem and for writing down the necessary equations used in the problem

[Hint 3]: 40 percent of the total mark for this Question will be assessed for the derivation of the material index with correct material performance equation.

[Hint 4]: 40 percent of the total mark for this Question will be assessed to the use of CES EduPack for the material selection.

Reminder, as it is an open exercise, each student is expected to have a unique solution as definition of the problem will be unique.

Question 3

A truck manufacturing company wants to design a new material for the springs used in the heavy loaded trucks. In vehicle suspension design it is desirable to minimize the mass of all components and select a material as cheap as possible. You have been asked to select a material and dimensions for a light spring to replace the steel leaf-spring of an existing truck suspension. You need to decide the structure of the existing leaf-spring. The new spring must have the same length, L and stiffness S as the existing one, and must deflect through a maximum safe displacement, δmax without failure.

You will need to decide extra constraints and find out the necessary equations to solve the springs for truck application. You will need to decide your objective and to compare the results with real world materials. You will need to translate the problem, derive the performance index or indexes, coupling line between the performance index and select some screening constraint.

You have to document the whole selection process.

Most of the springs are made of high strength alloy steel, and they are heavy. You are asked to explore the potential of alternative materials for lighter springs, recognizing there must be a trade-off between mass and cost - if it is too expensive, the manufacturing company will not want it even if it is lighter.

Show that the mass and material cost of the spring relative to one made of high strength alloy steel is given by

m/m₀ = (Exp/σ_f²) (σ_f,0²/E₀xρ₀) and C/C₀ = (E_xC_mxρ/σ_f²)(σ_f,0²/E₀C_m,0xρ₀)

where ρ is the density, σf the failure strength and Cm the cost per kg of the material, and the subscript "o" indicates values for high strength alloy steel.
.
[Hint 1] Use the ratio for new material over the steel.

m/m0 = mass relative to high strength alloy steel and C/C₀

= cost relative to high strength alloy steel.

[Hint 2]: You will have to decide your own dimensions for the selected structure and the constraints.

(a) Definition of the problem

(b) Translation of the problem

(d) Discuss the implication of two performance index

(e) Show that the mass and material cost of the spring relative to one made of high strength alloy steel is given by

m/m₀ = (Exp/σ_f²) (σ_f,0²/E₀xρ₀) and C/C₀ = (E_xC_mxρ/σ_f²)(σ_f,0²/E₀C_m,0xρ₀)

(f) Explore the trade-off between relative cost and relative mass. Sketch a trade-off surface. Define a relative penalty function

Reminder, as it is an open exercise, each student is expected to have a unique solution as definition of the problem will be unique.

Question 4

(a) Draw the Time Temperature Transformation T-T-T diagram for plain carbon steel of eutectoid composition and show on the diagram the critical cooling curve, the transformation lines, the phases, the axis.

(b) Explain the change of structure with martensitic transformation

(c) Discuss with help of simple sketch along with two examples of the phase diagram (binary system) in which each of the reaction occur during the phase transformation of metals.

Describe the phase reaction and the corresponding temperature for the selected examples
(i) Peritectic reaction and Peritectic point
(ii) Eutectic reaction and Eutectic point

(d) With the help of T-T-T diagram for eutectoid plain carbon steel answered in part (a) explain following parts
(i) Explain the process to quench a component to obtained full retained austenite. Indicate the temperature and times needed in the process.
(ii) What are the phase or phases resultant from the following process? Keeping a component made of eutectoid plain carbon steel at 750 °C for one hour and then cooling it to 450 °C temperature in 1 second, keeping it at that temperature for 10 seconds and cooling it to room temperature in another 10 seconds.
(iii) What are the phase or phases resultant from the following process? Keeping a component made of eutectoid plain carbon steel at 750 °C for one hour and cool it down to 300 °C, keeping it at that temperature for 10 seconds and cooling it to room temperature in another 10 seconds.

Question 5

(a) Using suitable examples, explain the meaning of dislocation movement in metals. Explain with simple sketches different types of dislocation in relation to metals.

(b) Using suitable industrial examples, explain creep in metals. Comment and contract dislocation movement in both plastic deformation and in creep.

Attachment:- Advanced Materials and Materials Selection.rar

Reference no: EM132563249

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