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Aircraft structures are generally constructed from sheet metals of deep-drawing
quality. The dynamic behavior of the materials is different from the static one because
of inertia effect and the propagation of stress waves. An adequate experimental
technique has to be developed for the corresponding strain rate level. A high strain rate
testing apparatus was devised by Kolsky (1963) in 1949, which is known as split
Hopkinson pressure bar (Follansbee, 1978). The stress-strain curves for the high strain rate
ranging from 1000 to 10,000/s can be acquired from the stress waves propagating
through the incident and the transmission bars in the apparatus. The split Hopkinson
pressure bar apparatus can be modified for high strain rate tensile tests. Even though there
are some difficulties in the design of grips, these grips are not considered for
simplicity. For anvil effect, successful high strain rate tensile tests need control of state
variables such that the stress, strain and strain rate in the specimen must be
homogeneous (Johnson et al., 1986). Hence, the geometry of a specimen used in high strain
rate tensile test is important for acquiring uniform deformation.
Nicholas (1981) used threaded bar type tensile specimens to obtain high
strain rate stress-strain curves for about 15 to 20 different materials. Lindholm and
Yeakley (1968) performed high strain rate tensile tests with hat type specimens.
The above said tests were easy to perform but the design of hat specimens
was complicated and expensive. In these experiments, wave distortion occurs at
the clearance of the threaded region of the specimen. Staab and Gilat (1991)
investigated the effect of the bar type specimen geometry in direct tension split Hopkinson
bar tests. When the length to diameter ratio of the specimen was greater than 1.50,
the experimental results showed that the dynamic tensile strength was consistent.
Zhao and Gary (1996) performed compression tests for Ti-6Al-4V alloy plates
for the aircraft structure using compression split Hopkinson pressure bar apparatus.
The above-said methods give results for different material models which are used
in numerical analysis of crashes. The material behavior cannot be described in a
general way, hence, it is necessary to describe the various types of constitutive relations
to describe the dynamic behavior of materials. Johnson and Cook (1983) proposed
a constitutive model and found five material constants (obtained from
Hopkinson pressure bar apparatus) in the constitutive relation for materials subjected to
large strains, high strain rates and high temperatures.
In this paper, the high strain rate tensile tests have been carried out with
a split Hopkinson pressure bar apparatus, designed specifically for sheet
metals. Tensile tests are performed for several sheet metals of deep-drawing
quality. Experimental results from both the quasi-static and dynamic tests are
interpolated to construct a constitutive relation, which can be applied to the crash analysis
of aircraft structures made up of sheet metals. |