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   <subfield code="a">Theocaris</subfield>
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   <subfield code="u">National Academy of Athens, P.O. Box 77230, 7510, Athens, Greece</subfield>
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   <subfield code="a">The symmetric ellipsoid failure surface for the transversely isotropic body</subfield>
   <subfield code="h">[Elektronische Daten]</subfield>
   <subfield code="c">[P. Theocaris]</subfield>
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   <subfield code="a">Summary: A realistic criterion in the 3D-principal stress space for describing failure of transversely isotropic bodies taking also into account the strength differential effect was shown to be the elliptic paraboloid failure surface (EPFS) [5]. The criterion, however, stipulates that in the compression-compression-compression octant these materials may sustain very high loadings. In order to remedy this ambiguous definition of failure in this zone for the compression strong materials or in the domain of the tension-tension octant for the tension strog materials an improved version of the EPFS was introduced in this paper. Based on the same principles as the EPFS a symmetric ellipsoid failure surface is defined whose symmetry axis is parallel to the hydrostatic axis, which is also passing through the three pairs of failure strengths in tension and compression along each of the principal stress axes. Since the symmetric ellipsoid failure criterion is a versatile one, based on the same hypotheses derived from assertions and long experrimental evidence as the EPFS, thus succeding to interrelate failure with the basic concepts and principles of mechanics, it constitutes a powerful and reliable general type of criterion. It was shown that extensive experimental evidence corroborates the results derived from this criterion along the basic intersections of this failure surface.</subfield>
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   <subfield code="a">Springer-Verlag, 1992</subfield>
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   <subfield code="t">Acta Mechanica</subfield>
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   <subfield code="g">92/1-4(1992-03-01), 35-60</subfield>
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