Concept explainers
a)
Resolve shear stress acting on the
a)
Answer to Problem 53AAP
Resolve shear stress acting on the
Explanation of Solution
Write the expression for the Schmidt’s law:
Here, resolved shear stress is
Write the expression for the angle between two systems
Here, Directions of BCC crystal are
Conclusion:
Substitute 75 MPa for
Thus, the resolve shear stress acting on the (111)
Calculate the angle between the uniaxial force and normal to the slip plane system.
Write the expression for the angle between two systems
Here, Directions of BCC crystal are
Substitute 0 for
Calculate the angle between the axial forces and slip direction planes
Substitute 0 for
Calculate the resolved shear stress using equation (I).
Substitute 55 MPa for
Thus, the resolved shear stress is
b)
Resolve shear stress acting on the
b)
Answer to Problem 53AAP
Resolve shear stress acting on the
Explanation of Solution
Write the expression for the angle between two systems
Here, Directions of BCC crystal are
Conclusion:
Calculate the angle between the uniaxial force and normal to the slip planes.
Substitute 0 for
Substitute 55 MPa for
Thus, the resolved shear stress is zero , it indicates that this plane is shear less planes.
c)
Check the slip is occur or not in the two given system.
c)
Answer to Problem 53AAP
Slip is occurring in
Explanation of Solution
Refer the table 6.4,” Room-temperature slips systems and critical resolved shear stress for metal single crystals”, the
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Chapter 6 Solutions
Foundations of Materials Science and Engineering
- 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 [11 2] direction. If slip occurs on a ( 111) plane and in a [0 11] direction, and the crystal yields at a stress of 5.12 MPa, compute the critical resolved shear stress. CRITICAL RESOLVED SHEAR STRESS • CRITICAL RESOLVED SHEAR STRESS (T, THE MOST FAVORABLY ORIENTED SLIP SYSTEM WHEN SHEAR STRESS IS AT J: SLIP IN A SYSTEM STARTS ON CRSS THIS CRITICAL VALUE • MINIMUM SHEAR STRESS REQUIRED TO INITIATE SLIP • SINGLE CRYSTAL PLASTICALLY DEFORMS WHEN: T, > T, CRSS OR TR(max) =T CRSS 'R Tcrss (cos o cos A)maxarrow_forward5. 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.arrow_forwardHelp me pleasearrow_forward
- 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 MPаarrow_forwardA stress of 75 MPa is applied in the [0 0 1] direction on an FCC single crystal. Calculate the resolved shear stress acting on the (1 1 1) [1 0 1] slip system.arrow_forwardA piece of BCC single-crystal metal is oriented such that tensile stress is applied along a [131] direction. If slip occurs on a (011) plane and in a [111] direction, compute the stress at which the crystal yields if its critical resolved shear stress is 12 MPa.arrow_forward
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