I did an uniaxial compression test and now I have got different values of compression failure stress for each sample. Is it possible to get the value of tensile failure stress for each sample, for example, by theoretical mathematic relation?
These may help you:
http://www.geogroup.utoronto.ca/rockeng09/proceedings/innerFrames/PDF/Session21/4063%20PAPER.pdf
http://www.ejge.com/2013/Ppr2013.168clr.pdf
I think you can predict tensile strength from Uniaxial Compressive Strength (UCS. According to the literature the tensile strength is about (0.05 to 0.1) of UCS.
Preparation of sample takes major role whenever you are comparing value of UCS. As water content along the depth plays a major role.I suggest you to submerge sample in water 24 hours before test.
Most of the researchers found the value of tensile strength in the range of 0.09 to 0.15 of UCS value
Excellent review paper by Matthew on tensile strength. Yet it would be appropriate to examine one of the numerical approximation for tensile strength (in kPa) made by Johnston (1985) known as JC criteria as,
B= 1- χb [log (UCS)]2
where Xb=0.0172
and, M = 2 + χm [log (UCS)]2
where Xm=0.276
Such that UCS/Tensile Strength=-M/B
More can be found in DOI 10.1061/(ASCE)GM.1943-5622.0000215.
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