An approximate dynamic equilibrium pressure p-specific volume V relation exists for porous materials of a simple type undergoing mutliple shock compaction processes. A copper powder medium in dies is assumed to be of such a type, and the relation is constructed when the medium is compacted by a punch. It is given by an expression in the form of p=(V−Vi)/[b{Vi(1−a)−V}], where Vi, a and b are the material constants. These constants are estimated by matching the computational and experimental results obtained for the mean green density of the medium. Similarly, a dynamic equilibrium lateral pressure p1-specific volume V relation is also estimated for the medium after being given by p1=αp2+βp for ρ<3430 kg/m3, where α and β are the material constants and ρ is the density, while p1=0.5(Vsolid/V)νp+c for ρ≧3430 kg/m3, where Vsolid is the specific volume of solid copper, ν the material constant, and the contant c continuously connects the lateral pressures of the above two equations at ρ=3430 kg/m3. The compaction processes analyzed using the estimated relations agree favorably with the powder particle movement and shock wave front paths from experiments, suggesting the validity of the simple type assumption and that of the estimated relationships.
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April 1989
Research Papers
Dynamic Equilibrium Constitutive Relations of Copper Powder Within Dies Subjected to Mutliple Shock Compactions
Yukio Sano,
Yukio Sano
Department ot Ocean Mechanical Engineering, Kobe University of Mercantile Marine, Kobe, Japan
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Kiyohiro Miyagi,
Kiyohiro Miyagi
University of the Ryukyus, Okinawa, Japan
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Koji Tokushima
Koji Tokushima
Department of Precision Engineering, Osaka Electro Communication University, Osaka, Japan
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Yukio Sano
Department ot Ocean Mechanical Engineering, Kobe University of Mercantile Marine, Kobe, Japan
Kiyohiro Miyagi
University of the Ryukyus, Okinawa, Japan
Koji Tokushima
Department of Precision Engineering, Osaka Electro Communication University, Osaka, Japan
J. Eng. Mater. Technol. Apr 1989, 111(2): 183-191 (9 pages)
Published Online: April 1, 1989
Article history
Received:
April 21, 1988
Online:
September 15, 2009
Citation
Sano, Y., Miyagi, K., and Tokushima, K. (April 1, 1989). "Dynamic Equilibrium Constitutive Relations of Copper Powder Within Dies Subjected to Mutliple Shock Compactions." ASME. J. Eng. Mater. Technol. April 1989; 111(2): 183–191. https://doi.org/10.1115/1.3226452
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