Abstract
The theoretical foundation of Youngdahl’s correlation parameters, which have been used to eliminate pulse shape effects in the dynamic plastic response of two-dimensional structural members, is studied in the present paper with the aid of bounds obtained for a rigid-plastic material. It is shown that Youngdahl’s empirical estimate for the structural response time is, in general, a lower bound on the actual response time. A lower bound expression is obtained for the maximum final displacement of a two-dimensional structural member when subjected to an axisymmetrically loaded transverse time-dependent pulse, which depends only on Youngdahl’s correlation parameters, and offers a theoretical foundation for the validity of Youngdahl’s correlation parameter method.
Keywords:
plasticity
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