The stress axis in an FCC crystal makes angles of 31◦ and 62◦ with the normal to the slip plane and with the slip direction, respectively. The applied stress is 10 MN/m2.

Q: What is the defect size in soda-lime-silicate glass if KIC = 750 KN m²3/2 and the typical measured…

A: Given: The fracture strength, KIC = 750 kN.m^3/2 The ultimate strength = 70 MPa

Q: Determine the critical resolved shear stress on a BCC single crystal if a normal stress of 10 MPa…

A: Given data: Normal stress σ=10 MPa acts along l=[100] direction. Applied stress causes slip in the…

Q: trength of metals and their alloys increases as grain size decreases. Find out the amount of…

A: From hall patch equation:σy=σ∞+kDHere,σy is the yield strength of grainD=Grain diameterσ∞=Yield…

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Q: 6. Sketch how two edge dislocations of opposite sign on the same slip plane can anihilate each othe…

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Q: A piece of BCC single-crystal metal is oriented such that tensile stress is applied along a [131]…

A: Write the direction of the tensile stress.   A=131   Write the plane on which slip occurs.   B'=011…

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Q: i) Explain the Tresca and Von Mises criteria in crystal plasticity and their role in the design of…

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Q: Calculate the theoretical yield strength of aluminum. The Young's modulus of aluminum is 70 GPa, and…

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Q: If a rod of single-crystal copper (FCC) is pulled in tension in the [210] direction (i.e. force…

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Q: When λ=1.5Å and θ=30°, how much strain (Δd/d) is needed to cause a peak broadening same as that of…

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Q: There are three slip systems on a FCC octahedral plane, i.e. one of the {111} planes. Assume a 2 MPa…

A: "Since you have asked multiple questions, we will answer the first question for you. If you want any…

Q: The yield strength for an alloy that has an average grain diameter of 1.6 × 10² mm is 320 MPa. At a…

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Q: A BCC mono crystal is oriented such that the direction [001] is parallel to the direction of…

A: Show the stress acting on slip direction [1 1¯ 1] on the slip plane (110) and the angle (λ) between…

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Q: Consider dislocations in nickel. If the plastic flow stress is controlled by the stress necessary to…

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Q: Calculate the dislocation density in tungsten if the stress is controlled by the stress necessary to…

A: Given:To determine:The dislocation density in tugsten

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Q: 1. A piece of fully-annealed copper crystal has the orientation as shown. It is loaded under the…

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Q: Strain hardening aluminium increases the strength by reducing the number of dislocations True False

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Q: Consider a defect in a crystalline lattice as shown below. Which of the following statements is…

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Q: For the images shown below, which Miller indices for crystallographic planes are included? Z LAL a/2…

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Q: edge dislocation occurs due to regions of.. * O shear stress O extra atoms regions O vibration…

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Q: Sometimes, in the equation for resolved shear stress in a single crystal, the term cos cos is termed…

A: Given: The direction for FCC single crystal = [100]

Q: To put lattice defects in perspective, consider a metal blank that has a dislocation density of 10^3…

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A: Given: Angles are: ϕ=42.7°λ=48.3° Critical resolved shear stress is, τR=27.1 Mpa

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Q: 9. Make two neat sketches to show the climbing up and the climbing down of an eage dislocalion. What…

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Q: Calculate Vickers Hardness for a material if pyramid diamond (d)= 0.41mm and applied * ?load…

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Q: 0.5а 5a (1/3)a {110}

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Q: Slip in Single Crystals 2. Consider a metal single crystal oriented such that the normal to the slip…

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Q: A single crystal of aluminum is loaded under a stress state such that ơi1 = 250 kPa, 022 = 50 kPa ,…

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Q: For an FCC (111) plane, a. b. C. Compute Linear density for [1 1 1] and [1_0_1] On which of these…

A: GivenFCC (111) planedirection 1¯  1  1  and 1¯ 0  1

The Space Lattice and Unit Cells

Every matter consists of atoms, molecules, and ions. If these atoms, molecules, and ions (micro-particles) are represented in a three-dimensional space-occupying certain specific points in space, then these arrangements are termed as space lattices and the specific points which are being occupied by atoms, molecules and ions are termed as lattice points. The atoms, molecules, and ions at the lattice points are generally grouped in a regular fashion and repeat periodically at the three-dimensional space.