Question 6.5: Find the ratio of the principal strains that result from yie......

Mechanical Behavior of Materials [1002814]

Find the ratio of the principal strains that result from yielding if the principal stresses are $\sigma_{y} =\sigma_{x}/4$ , $\sigma_{z} =0$ , assuming the Tresca criterion.

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Here $d\varepsilon _{1} = d\varepsilon _{x} , d\varepsilon _{2} = d\varepsilon _{y},$ and $d\varepsilon _{3} = d\varepsilon _{z} ,$ so $d\varepsilon _{x} : d\varepsilon _{y} : d\varepsilon _{z} =1 :0:-1.$

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