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On dimensionless numbers for dynamic plastic response of structural members

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Summary

A dimensional analysis is reported for the dynamic plastic response and failure of structural members, which includes material strain hardening, strain rate and temperature effects. Critical shear failure conditions are also discussed based on the dimensional analysis results. It is shown that the response number R n proposed in [3], is an important independent dimensionless number for the dynamic plastic bending and membrane response of structural members. However, additional dimensionless numbers are necessary when transverse shear, strain hardening, strain rate, and temperature effects are important.

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Authors and Affiliations

  1. Impact Research Centre, Department of Engineering University of Liverpool, Liverpool L69 3GH, UK, , , , , , GB

    Q. M. Li & N. Jones

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  1. Q. M. Li
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  2. N. Jones
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Additional information

Received 22 February 1999; accepted for publication 15 June 1999

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Li, Q., Jones, N. On dimensionless numbers for dynamic plastic response of structural members. Archive of Applied Mechanics 70, 245–254 (2000). https://doi.org/10.1007/s004199900072

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  • DOI: https://doi.org/10.1007/s004199900072

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