Summary
The theorems of limit analysis and the compatibility theorem are extended to 3-dimensional rigid-perfectly plastic bodies containing stress and velocity discontinuities. Attention is focussed on isotropic bodies with a convex yield surface, and in particular a few general results are obtained for plane flow.
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Sayir, M., Ziegler, H. Der Verträglichkeitssatz der Plastizitätstheorie und seine Anwendung auf räumlich unstetige Felder. Journal of Applied Mathematics and Physics (ZAMP) 20, 78–93 (1969). https://doi.org/10.1007/BF01591118
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DOI: https://doi.org/10.1007/BF01591118