Acrystalline grain of nickel in a metal plate is situated so that a tensile load is oriented along the [111] crystal direction (a) if the applied stress if 0.45 mpa, what will be the resolved shear stress, trss, along the [101] direction within the (11 t) plane? (b) what tensile stress is required to produce a critical resolved shear stress, tcrss of 0.242 mpa

Given:

Applied stress,

Critical Resolved Stress,  

Solution:

a). According to the question, orientation of tensile load is along [1 1 1],

Now, for resolved shear stress,   along [1 0 1] within (1 1 T)

let  '' be the angle between [1 1 1] and [1 0 1], then by coordinate formula:

=

=

let  '' be the angle between [1 1 1] and [1  1 1], then by coordinate formula:

= 1

Now, for the resolved components along [1 0 1]

 =

= = 0.3673 MPa

b).  For required tensile stress to produce  :

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