Abstract
While a freestanding high-strength sheet metal subject to tension will rupture at a small strain, it is anticipated that lamination with a ductile sheet metal will retard this instability to an extent that depends on the relative thickness, relative stiffness, and hardening exponent of the ductile sheet. This paper presents an analytical study for the deformability of such a laminate under tensile load within the context of necking instability. Laminates of high-strength sheet metal and ductile low-strength sheet metal are studied assuming (1) the sheets are fully bonded and (2) the metals obey the power-law material model. The effect of the hardening exponent, volume fraction, and relative stiffness of the ductile component has been studied. The stability of both uniform and nonuniform deformations has been investigated. The results have shown retardation of the high-strength layer instability by lamination with the ductile layer. The laminate exhibits marked enhancement in the strength-ductility combination, which is essential in metal-forming applications.
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