Solve this and show all of your work (a) Suppose the primary slip systems of an FCC metal have a critical shear stress of 25 MPa. If atensile stress is applied along the [131] direction of this material, at what tensile stress will thematerial begin to plastically deform, assuming only these primary slip systems; i.e., those of thetype {111}/(110), can be activated? (15 points)

Solve this question step by step with full calculations.

Answered: (a) Suppose the primary slip systems of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Pravinbhai
Televio olpn Example moleda Sblaiy Ieteyo elpnie erli lliW (B Q.: A stress of 75 MPa is applied in the [001] direction on an fcc single crvstel Calculate: T. (a) the resolved shear stress acting on the (111) [-101] slip system and, (b) the resolved shear stress acting on the (111) [-110] slip system.
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5. Consider a single crystal of some hypothetical metal that has the FCC crystal structure and is oriented such that a tensile stress is applied along a [102] direction. If slip occurs on a (111) plane and in a [101] direction, compute the stress at which the crystal yields if its critical resolved shear stress is 3.42 MPa.
Determine the critical resolved shear stress on a BCC single crystal if a normal stress of 10 MPa along [100] direction causes slip system on (110) plan along [1-11], one-bar one-one, direction.
1. There are three slip systems on a FCC octahedral plane, i.e. one of the {111} planes. Assume a2 MPa tensile stress is applied along the [100] direction of a gold single crystal, whose criticalresolved shear stress is 0.91 MPa at room temperature. Demonstrate quantitatively thatmeasurable slip will not occur on any of the three slip systems containing the (111) plane as aresult of this applied tensile stress. (Hint: Schmid’s law) 2. Identify the Burgers vector (using vector notation) of a screw dislocation that can cross-slipbetween (111) and (111) planes of an FCC crystal (Hint: Use Weiss zone law). 3. Why are dislocations not considered thermodynamic equilibrium defects like vacancies?Explain by describing the relative interplay between entropy and enthalpy affecting the Gibbsfree energy of the dislocations-containing material system.
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A hypothetical face-centred cubic metal has a lattice parameter a = 0.400 nm. A singlecrystalline bar made from the metal has a length of 20 mm and a diameter of 2 mm. TheBurgers vector of dislocations in the metal is <110>/2. Assuming only one slip system isactivated during uniform tensile straining and the angle between the direction of the Burgersvector of the dislocations and the tensile direction is 60°. Calculate the number of dislocationsneeded to achieve an engineering plastic strain of 10%. (pls give full handwritten solution to this)
A hypothetical face-centred cubic metal has a lattice parameter a = 0.400 nm. A singlecrystalline bar made from the metal has a length of 20 mm and a diameter of 2 mm. TheBurgers vector of dislocations in the metal is <110>/2. Assuming only one slip system isactivated during uniform tensile straining and the angle between the direction of the Burgersvector of the dislocations and the tensile direction is 60°. Calculate the number of dislocationsneeded to achieve an engineering plastic strain of 10%. (pls provide full calculations)
Consider a single crystal of silver oriented such that a tensile stress is applied along a [001] direction. If slip occurs on a (111) plane and in a 101 direction, and is initiated at an applied tensile stress of 1.1 MPa (160 psi), compute the critical resolved shear stress. i MPа
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A single crystal of a metal that has the FCC crystal structure is oriented such that a tensile stress is applied parallel to the [100] direction. If the critical resolved shear stress for this material is 1.18 MPa, calculate the magnitude of applied stress necessary to cause slip to occur on the (111) plane in the [1-10] direction.

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