Conclusions
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1.
Strength determined in the fourth quadrant of the coordinate plane for porcelain is 60–70% greater than the level of average failure stresses with loading along two axes by smooth metal supports, depending on the principal stress ratio, and with σ2/σ3=0.25 it reaches a maximum value of 1020 MPa which is 5 and 25% greater than the ultimate strength with axial and uniform compression respectively.
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2.
For porcelain, concrete, gypsum, graphite, ceramics based on alumina, glass ceramic, and cast iron, strength with biaxial compression and also limiting values of specific potential energy for deformation depend on the principal stress ratio. With a sufficient degree of accuracy this latter function may be approximated by the segment of a straight line.
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3.
For porcelain, graphite, and ceramics based on alumina there is a range of principal stress ratios in which strength with biaxial compression is less than ultimate strength with axial compression. In view of this, strength analysis for cylindrical and spherical shell articles made of these materials operating under external hydrostatic pressure should be carried out by equivalent stresses. Experimental limiting curves in the third quadrant of the coordinate plane for porcelain, concrete, gypsum, graphite, ceramics based on alumina, glass, glass ceramic, and cast iron may be approximated by an equation expressing the functional relationship between principal compressive stresses, ultimate strength with axial and uniform biaxial compression, Poisson's ratio, and principal stress ratio.
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Institute of Strength Problems, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Problemy Prochnosti, No. 5, pp. 70–75, May, 1984.
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Okhrimenko, G.M. Strength of porcelain with biaxial compression. Strength Mater 16, 691–697 (1984). https://doi.org/10.1007/BF01529052
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DOI: https://doi.org/10.1007/BF01529052