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ULTRA-HIGH STRAIN RATE CONSTITUTIVE MODELING OF PURE TITANIUM USING PARTICLE IMPACT TEST

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Abstract

With the advent of advanced testing strategies like laser-induced particle impact test, it is possible to study materials mechanics under extremely high deformation rates, i.e., above 10^6 s^-1, a relatively less explored regime of strain rates. In this study, we accelerate microparticles of commercially pure titanium to ~100 m/s towards a rigid substrate and record their deformation upon impact in real time. We also conduct finite element modeling of the experimentally recorded impacts using two constitutive equations: Johnson-Cook and Zerilli-Armstrong. We show that titanium microparticles experience strain rates in the range of 10^6-10^10 s^-1 upon impact. We evaluate the capability of the Johnson-Cook and Zerilli-Armstrong equations in predicting material response at ultra-high strain rates. With an optimization-based constitutive modeling approach, we also propose updated strain rate-related constitutive parameters for both equations that can improve the extent to which they can successfully describe the deformation of materials at higher strain rates.

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41 pages

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Date Issued

2020-05

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Keywords

Constitutive Modeling; Impact; Johnson-Cook; Titanium; Ultra-High Strain Rate; Zerilli-Armstrong

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Committee Chair

Hassani Gangaraj, Seyyed Mostafa

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Zehnder, Alan

Degree Discipline

Mechanical Engineering

Degree Name

M.S., Mechanical Engineering

Degree Level

Master of Science

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Government Document

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Attribution 4.0 International

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dissertation or thesis

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