A single crystal of an FCC metal is oriented so that the [001] direction is a) parallel to the applied stress. If the critical resolved shear stress required for slip is 28.58 MNm, calculate the magnitude(s) of the applied stress(es) required to cause slip to begin on the (111) slip plane in each of the 1 10], 611, and (101 Įdirections. Comment on your results. b) Determine the interplanar spacing and the length of the Burger's vector for (110)/1 11 Titanium is 0.332 nm. Repeat assuming that the slip system is a slip on the system in BCC Titanium. The lattice constant for (111)/l11 olsystem. What is the ratio between the shear stresses required for obyatem. -kd slip for the two systems given thatt = cexp where c and k are constants and d is the interplanar spacing between adjacent slip planes and b is the Burger's vector. Assume that k = 2. c) A dislocation is observed to cross slip from (11 1) to (11 1) plane on an FCC crystal. What is its Burger's vector? d) If the critical resolved shear stress for yielding in silver is 240kPa, calculate the tensile stress required to cause yielding when the tensile axis is [010].
A single crystal of an FCC metal is oriented so that the [001] direction is a) parallel to the applied stress. If the critical resolved shear stress required for slip is 28.58 MNm, calculate the magnitude(s) of the applied stress(es) required to cause slip to begin on the (111) slip plane in each of the 1 10], 611, and (101 Įdirections. Comment on your results. b) Determine the interplanar spacing and the length of the Burger's vector for (110)/1 11 Titanium is 0.332 nm. Repeat assuming that the slip system is a slip on the system in BCC Titanium. The lattice constant for (111)/l11 olsystem. What is the ratio between the shear stresses required for obyatem. -kd slip for the two systems given thatt = cexp where c and k are constants and d is the interplanar spacing between adjacent slip planes and b is the Burger's vector. Assume that k = 2. c) A dislocation is observed to cross slip from (11 1) to (11 1) plane on an FCC crystal. What is its Burger's vector? d) If the critical resolved shear stress for yielding in silver is 240kPa, calculate the tensile stress required to cause yielding when the tensile axis is [010].
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Question
![A single crystal of an FCC metal is oriented so that the [001] direction is
a)
parallel to the applied stress. If the critical resolved shear stress required for
slip is 28.58 MNm, calculate the magnitude(s) of the applied stress(es)
required to cause slip to begin on the (111) slip plane in each of the 1 10),
611 and (101
Įdirections. Comment on your results.
b)
Determine the interplanar spacing and the length of the Burger's vector for
slip on the (110)/1
system
BCC Titanium. The lattice constant for
Titanium is 0.332 nm. Repeat assuming that the slip system is a
(111)/l11 olsystem. What is the ratio between the shear stresses required for
-kd
slip for the two systems given thatt = cexp
where c and k are constants and d is the interplanar spacing between
adjacent slip planes and b is the Burger's vector. Assume that k = 2.
c)
A dislocation is observed to cross slip from (1 1 1) to (11 1) plane on an FCc
crystal. What is its Burger's vector?
d)
If the critical resolved shear stress for yielding in silver is 240kPa, calculate
the tensile stress required to cause yielding when the tensile axis is [010].
It has been proposed that a unit dislocation may dissociate into two half
e)
dislocations during slip. For the case of glide on the (111) plane, would the
reaction below be algebraically feasible? Use Frank's rule to comment on the
changes in dislocation energy involving the reaction below and comment on
the feasibility.
1111 -
10 11) +211]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4e8872f-1d89-447b-acb2-3faf6fd24f0c%2F2f332781-8074-4087-a03a-771e00738fc2%2F71hc9u9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A single crystal of an FCC metal is oriented so that the [001] direction is
a)
parallel to the applied stress. If the critical resolved shear stress required for
slip is 28.58 MNm, calculate the magnitude(s) of the applied stress(es)
required to cause slip to begin on the (111) slip plane in each of the 1 10),
611 and (101
Įdirections. Comment on your results.
b)
Determine the interplanar spacing and the length of the Burger's vector for
slip on the (110)/1
system
BCC Titanium. The lattice constant for
Titanium is 0.332 nm. Repeat assuming that the slip system is a
(111)/l11 olsystem. What is the ratio between the shear stresses required for
-kd
slip for the two systems given thatt = cexp
where c and k are constants and d is the interplanar spacing between
adjacent slip planes and b is the Burger's vector. Assume that k = 2.
c)
A dislocation is observed to cross slip from (1 1 1) to (11 1) plane on an FCc
crystal. What is its Burger's vector?
d)
If the critical resolved shear stress for yielding in silver is 240kPa, calculate
the tensile stress required to cause yielding when the tensile axis is [010].
It has been proposed that a unit dislocation may dissociate into two half
e)
dislocations during slip. For the case of glide on the (111) plane, would the
reaction below be algebraically feasible? Use Frank's rule to comment on the
changes in dislocation energy involving the reaction below and comment on
the feasibility.
1111 -
10 11) +211]
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