Unformatted text preview: uniform cross section is loaded in tension until it just begins to neck. Assuming that volume is conserved, derive a differential expression relating the true stress to the true strain at the onset of necking. Note: You need to remember that the onset of necking is given by the maximum in the nominal stress  nominal strain curve. Think of a mathematical expression in terms of nominal stress and nominal strain that defines this point—then reexpress the nominal stress and strain in terms of the true stress and strain to get your answer. Problem 4: (Ashby & Jones, Vol. 1, 3e, Problem 11.5) The curve of true stress versus true strain for the metal wire approximates to σ = 350 ε 0.4 MN m2 . Estimate the tensile strength of the wire and the work required to take 1 m 3 of the wire to the point of necking....
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 Spring '08
 Thouless
 Deformation, Strain, Stress, Tensile strength, true strain, Ashby & Jones

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