Dynamic Equilibrium Constitutive Relations of Copper Powder Within Dies Subjected to Mutliple Shock Compactions

[+] Author and Article Information
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 111(2), 183-191 (Apr 01, 1989) (9 pages) doi:10.1115/1.3226452 History: Received April 21, 1988; Online September 15, 2009


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 = αp 2 + 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) ν p+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.

Copyright © 1989 by ASME
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