A fuzzy-set analysis for a dynamic thermo-elasto-viscoplastic damage response

Abstract A computational fuzzy-set based approach is used to study variability (uncertainty) in the mechanical response of dynamically-loaded simple structural components. The mechanical response is described by a thermo-elasto-viscoplastic material model that accounts for damage. The uncertainty in the response is associated with pre-selected variations in material parameters. Sensitivity studies are performed to identify the material parameters which have the most significant effect on the response. Those parameters are then assumed to be fuzzy, and time histories of the possibility distributions of the response quantities are constructed. Numerical results are presented for a titanium alloy Ti-6Al-4V.

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