Summary
Material instability resulting in discontinuous plastic bifurcations was considered in numerous papers for typical yield conditions. Here we discuss this phenomenon for the paraboloidal Burzyński-Torre yield condition, adequate for many brittle plastic materials. This condition is described by a function which is not homogeneous with respect to the stress components and this fact brings some additional difficulties. General formulae are derived and then plane stress states are discussed in detail. Related decohesion phenomena are also mentioned.
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Dedicated to Prof. F. Ziegler on the occasion of his 60th birthday
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Zyczkowski, M. Discontinuous bifurcations in the case of the Burzyński-Torre yield condition. Acta Mechanica 132, 19–35 (1999). https://doi.org/10.1007/BF01186957
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DOI: https://doi.org/10.1007/BF01186957