Owing to the extensive applications of stainless steel 304 on a microscale, a series of microscale tensile and dome height tests were conducted to investigate its size effects on mechanical properties and formability. Based on the experimental results and observations and the Oh et al. fracture criterion, two new models were proposed in this paper for predicting the forming limit of stainless steel 304 foils in microscale sheet metal forming. For the mechanical properties study, foils of four thicknesses (150 mm, 100 mm, 50 mm, and 20 mm) heat treated at four temperatures (900 uC, 950 uC, 1000 uC, and 1050 uC) were used for the experiments. For the formability prediction, the first proposed model includes the effect of the strain path while the second proposed model considers the coupling effects of both the strain path and the size effects. The first model is superior to the Oh et al. criterion with respect to predicting the forming-limit strain of the foils, but it is not suitable for foils that are thinner than 100 mm. However, the second proposed model can be used for stainless steel 304 foils irrespective of their thicknesses and thickness-to-average-grain-size ratios T/D. It can also be concluded that the size effects must be considered in microformability when the foil thickness is smaller than 100 mm.
To determine the stress state of a wire rope is tedious although analytical solution of a simple rope subjected to static load is available. While facing the problems involving complex ropes, it is usual practice to take approximations based upon the concepts of an average stress state for the constitutive ropes or for every wire. For a statically loaded cable superimposed with a tensile impulse, practically in sudden lifting of a heavy weight, the coupled axial-shearing strain waves in the cable has rarely been studied and explored through analytical approaches. Based on Costello's force-deformation relationship and elastic wave propagation theory, analysis procedures and results are presented in this paper. Time-dependent coupled axial-torsional displacements and axial-shearing strain waves in a simple straight wire rope, due to a longitudinal impact at one end, are obtained. At the instance of the strike, a pair of coupled primary axial-torsional waves is created and begins to travel in the cable independently with different speed. Meanwhile, a coupling induced secondary torsional wave and an axial wave were observed to travel with the primary axial wave and the primary torsional wave, respectively. Phenomenon such as the traveling, reflections from ends, and intersections of the primary waves as well as the secondary wave are presented. Information provided in this paper would be useful in the study of unexpected overstress and/or fatigue problems
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