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Simple equation of state to describe behavior of solid and porous aluminum samples under impact compression and isentropic unloading
Russian version
R.K. Belkheeva 1
1Novosibirsk State University, Novosibirsk, Russia
Email: rumia@post.nsu.ru
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A small-parameter equation of state of aluminum has been constructed, whose Gruneisen coefficient is specified as a logarithmic dependence on the density. The parameters of the equation of state of aluminum have been defined for the density range from 1.4 to 7 g/cm3. The porous material has been regarded as a simple thermodynamically equilibrium mixture of aluminum and air. The model uses only parameters of the equations of state and mass fractions of the mixture components. Shock adiabats for the aluminum samples with different initial porosities, curves of repeated compression and unloading isentropies, as calculated using this model, turn out to be close to respective experimental data. This indicates applicability of the proposed approach to constructing the equation of state of aluminum in order to describe properties of this metal (both in a pure form and in mixtures) both in the region of multiple compression and in the region of depression. Keywords: shock adiabat, unloading isentropy, single-continuum approximation, heterogeneous mixture, thermodynamic equilibrium, single-temperature approximation, single-speed approximation, Gruneisen coefficient
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