If slip occurs on the (111)[101] slip system in Example Problem 2, what will be the ratios of the resulting strains, dεy/dεx and dεz/dεx, where x = [100], y = [010], and z = [001]?

Question

If slip occurs on the [latex](11\overline{1} ) [/latex][101] slip system in Example Problem 2, what will be the ratios of the resulting strains, [latex]d\varepsilon_{y} /d\varepsilon _{x}[/latex] and [latex]d\varepsilon_{z} /d\varepsilon _{x}[/latex], where x = [100], y = [010], and z = [001]?

Accepted Answer

[latex]d\varepsilon_{x} =l_{nx}l_{dx}\gamma _{nd}= 1/ √6 d\gamma _{nd}[/latex] and [latex]d\varepsilon_{y} =l_{ny}l_{dy}\gamma _{nd}. [/latex] . Substituting [latex]l_{ny}= [11\overline{1} ]⋅ [010] =1/√3 [/latex] and [latex]l_{dy}= [101 ]⋅ [010] =0,[/latex] [latex]d\varepsilon_{z} =l_{nz}l_{dz}\gamma _{nd}= -1/ √6 d\gamma _{nd}[/latex].Therefore, [latex]d\varepsilon_{y} /d\varepsilon_{x}=0 [/latex] and [latex]d\varepsilon_{z}/d\varepsilon_{x}=-1. [/latex]

Question 8.3: If slip occurs on the (111)[101] slip system in Example Prob......

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