Thoery of Plasticity for Porous Metals

概要

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The basic equations are proposed for plastic deformation of porous metals such as sintered metal powders or metal powder compacts. The porous metal is assumed to be made up of a homogeneous metallic material and unformly distributed pores. The following equations are obtained from the Levy-Mises equatioins, (dε_1-dε_2)/(σ_1-σ_2)=(dε_2-dε_3)/(σ_2-σ_3)=(dε_3-dε_1)/(σ_3-σ_1)=(3fdε_υ)/(2σ_m/f)=(3dε_<eq>)/(2γσ_<eq>) where γ is the relative density of the porous metal, f a function of γ, the subscripts 1,2 and 3 represent the principal directions, σ_m=(σ_1+σ_2+σ_3)/3 and dε_υ=dε_1+dε_2+dε_3. The theory shows a good agreement with the experimental results for sintered copper powder compacts.
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