I need to manufacture a specimen by powder metallurgy and want to know the tensile strength but it is not possible to compact such big specimen. So, can I perform compression test and convert the data to get tensile strength?
It will not be possible to get the ultimate tensile strength (UTS), as no analogous quantity exists in compression. The best way would be micro-tensile test, or alternatively, hardness which is (roughly) correlated to UTS through empirical relations (these may or may not be readily available for your material).
Yield strength can be obtained in a similar way as tension test, but keep in mind that the tensile and compressive yield strengths will vary if there is appreciable porosity in the specimen.
If you represent the compression strain-stress diagram in TRUE terms (logarithmic strain and stress for true current section) , you may find the strain where the stress Sigma reaches dSigma/d Eps ( deformation hardening).This, according to the known Considera criterion, corresponds to the localization start in tension. Thus, you may determine both the yield stress and the UTS together with related uniform elongation. RESERVATION: 1. Porosity should be small (less than say 5%) , 2. Determined uniform elongation shoul be moderate (say up to 15%) in order to discard the texture effects different for tension and comprssion.