Abstract
When forming operations are conducted at extremely high accelerations (1000g or so) and at high speeds (1000 m/s or so) akin to explosive forming, new considerations are needed in forecasting the required power. This calls for an extension of the classical analysis (quasi-static) of forming processes. If, in addition, the material is perous (and hence compressible and pressure sensitive) the porosity and the mean normal stress appear as an internal variables which may affect significantly the forming process. In this paper we plan to study these new parameters and their interrelations by the extended dynamic upper-bound analysis. Firstly, we will recapitulate on the essentials of the dynamic forming analysis (which enables to imbed the speed and the acceleration into the upper bound analysis). Secondly, we will recapitulate on the essentials of forming analysis of porous materials akin to shaping of powdered materials and alike. Lastly, we will suggest a computational procedure to couple the above conditions (namely, porosity of the material and the impact loading) for solving practical forming processes with materials which obey Gurson's yield criterion.
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