On the Absence of Bifurcation for Elastic Bars in Uniaxial Tension

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On the Absence of Bifurcation for Elastic Bars in Uniaxial Tension

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1983

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We prove that an elastic bar undergoing uniaxial tension will not neck before the axial load on the bar attains a (local) maximum. Further, if the bar is in a hard loading device we show that necking is delayed until after maximum load is achieved. The key ingredient in the latter result is a generalized Korn inequality.

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Spector, Scott J.. (1983). On the Absence of Bifurcation for Elastic Bars in Uniaxial Tension. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4451.

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