Plane of the sheet and a direction

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Reference no: EM13887203

Consider a sheet of an fcc metal that has a {110} texture. That is, a {110plane is parallel to the plane of the sheet and a direction is parallel to the prior rolling direction.

A. Predict the value of Ro (the strain ratio measured in a rolling direction tension test). [Hint: Let y, and be the rolling, transverse, and sheet-normal direc- tions. Assign speci?c indices [hkl ] to the rolling, transverse, and sheet-normal directions. Find the speci?c indices of the transverse direction, y. Then sketch a standard cubic projection showing these directions. (It is convenient to choose xy, and so that they lie in the hemisphere of the projection.) For uniaxial tension along x, determine which slip systems will be active, and assume an equal shear strain, γ , on each. For each system, calculate the resulting strains, εx εy , and εz in terms of γ and sum these over all slip systems. Assume equal amounts of slip on all the equally favored slip systems. Now predict the strain ratio Ro.]

B. Predict R90.

Reference no: EM13887203

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