Quantification of constitutive behavior of sheet metals subjected to dynamic bulge loading

L. Liu, N. Petrinic*, B. Elliot, C. Ruiz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A newly developed method has been employed to quantify the mechanical behavior of sheet metals (both isotropic and orthotropic) subjected to dynamic bulge loading at strain rates of up to 400 s-1. Using newly developed dynamic bulge testing equipment with stereoscopic imaging, the exact shape of the bulging dome has been obtained and represented using high order polynomials before further constitutive analysis. The bulge profile functions discerned have been used to calculate the actual radius of curvature at the pole, thus replacing the spherical shape generally assumed in traditional bulge test analysis. Furthermore, the calculation of the thickness of the bulge has been improved by employing "dome volume" approaches. Effective strain and stress at the dome's pole have been calculated considering both isotropic and orthotropic materials. The effect of gage length on the obtained values of strain and stress has been assessed.

Original languageEnglish
Pages (from-to)502-513
Number of pages12
JournalJournal of Testing and Evaluation
Issue number5
Publication statusPublished - Sept 2007
Externally publishedYes


  • Biaxial stress-strain relationship
  • Crashworthiness
  • Dynamic bulge test


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