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In a standard Charpy impact test, how is the impact energy absorbed by a fractured specimen calculated?

From the integration of the area beneath the engineering stress versus engineering strain…
From the depth and diameter of the plastic indentation produced on the specimen surface…
From the instantaneous angular velocity of the swinging hammer at the moment of initial…
From the difference between the initial pendulum release height h and the final rebound…

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1 of 15

In standard binary phase diagram representations used in materials science, which two independent state variables are plotted under typical atmospheric pressure conditions?

Density and chemical concentration
Temperature and alloy composition
Pressure and chemical concentration
Volume and absolute temperature

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Explain the key characteristics of steady-state creep deformation in metals at elevated temperatures. Specifically, clarify why the strain rate remains constant during this stage, state the functional dependence of the…

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Practice Q&A

State the four Hume-Rothery rules that govern the formation of substitutional solid solutions when impurity atoms are added to a host metal, and explain the specific condition required by each rule.

8 marks

Define steady-state diffusion in solid materials, state the mathematical equation for Fick's first law while defining each variable, and explain how temperature influences the diffusion coefficient.

4 questions · 40 marks

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1 of 50

Which fundamental condition dictates that crack growth will occur in a material according to fracture mechanics principles?

K_Ic > Y * sigma_c * sqrt(pi * a)
a_c = pi * (K_Ic / (Y * sigma))^2
K_Ic < Y * sigma_c * sqrt(pi * a)
sigma_c = (Y * sqrt(pi * a)) / K_Ic

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Under Scenario 2 of design against fracture, where the fracture toughness K_Ic and operating tensile stress level sigma are fixed, how is the maximum allowable critical flaw size (a_c) calculated?

a_c = K_Ic / (Y * sqrt(pi * sigma))
a_c = (1 / pi) * (K_Ic / (Y * sigma))^2
a_c = (1 / sqrt(pi)) * (K_Ic / (Y * sigma))
a_c = pi * ( (Y * sigma) / K_Ic )^2

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Which of the following test conditions directly promotes brittle fracture during an impact test?

High specimen ductility
Low strain rate
Presence of a notch
Elevated temperature

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1 of 10

According to the Hume-Rothery rules, which condition favors extensive substitutional solid solubility between two metallic elements?

The two pure constituent metals must possess completely different crystal structures.
The difference in atomic radii between the two elements must exceed 15 percent.
The two participating elements must exhibit substantially different electronegativities.
The solvent metal has a greater tendency to dissolve a solute metal of higher valence.

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1 of 15

According to the Hume-Rothery rules, which of the following is an established condition for high solid solubility in substitutional solid solutions?

The solvent metal has a greater tendency to dissolve a metal of lower valence.
The atomic radius of solute and solvent must differ by less than 15%.
The solute and solvent should have substantially different electronegativities.
The two pure metals must possess completely different crystal structures.

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Practice Q&A

Explain the atomic mechanisms of vacancy diffusion and interstitial diffusion in crystalline solids, stating which mechanism occurs more rapidly and why. In addition, state the Arrhenius equation that describes the…

7 marks

Compare and contrast twin boundaries with ordinary grain boundaries in crystalline metals. In your response, specifically address: (1) the crystallographic orientation relationship across the boundary, (2) the boundary…

4 questions · 26 marks

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1 of 5

According to the equilibrium vacancy concentration relationship $N_v / N = \exp(-Q_v / kT)$ , how does the equilibrium concentration of vacancies change as temperature $T$ increases?

It decreases linearly with increasing temperature.
It remains constant because the activation energy is fixed.
It decreases exponentially toward an asymptotic limit of zero.
It increases exponentially with increasing temperature.

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1 of 20

According to the equilibrium vacancy concentration relationship, how does the equilibrium fraction of vacant lattice sites change as temperature increases?

It increases exponentially with absolute temperature.
It decreases logarithmically with absolute temperature.
It decreases linearly with absolute temperature.
It remains independent of temperature variations.

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Using the principles of tensile deformation in metals, explain the atomic-level difference between elastic and plastic deformation. Describe how the yield strength is determined from an engineering stress-strain curve…

8 marks

Explain why the measured fracture strengths of real engineering materials are significantly lower than theoretical predictions. Detail the role of crack geometry in amplifying stress at crack tips, describe the…

5 questions · 45 marks

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MSE104 Material Science 104