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  3. 3 a ductile metal wire of uniform crosssection is loaded...

Question: 3 a ductile metal wire of uniform crosssection is loaded...

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3. A ductile metal wire of uniform cross-section is loaded in tension. Assuming that volume is conserved, show that the following relationship holds at the point where necking occurs dơ, de, where ơt and are the true stress and true strain. (Hint: () Necking corresponds to the maximum in the nominal stress strain curve; (ii) The fact that volume is conserved, means you can use the expressions that relate true and nominal stresses and strains to each other.) Hence, show that if the true stress is related to the true strain by σ-AC, MPa, necking occurs when the true strain-n.

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