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Erratum published on 8 March 2017, see Metals 2017, 7(3), 87.

Open AccessArticle

One-Dimensional Constitutive Model for Porous Titanium Alloy at Various Strain Rates and Temperatures

School of Mechanical Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China
Author to whom correspondence should be addressed.
Academic Editor: Hugo F. Lopez
Metals 2017, 7(1), 24;
Received: 11 November 2016 / Revised: 19 December 2016 / Accepted: 26 December 2016 / Published: 12 January 2017
PDF [5059 KB, uploaded 9 March 2017]


In this paper, the accurate description of the relationship between flow stress and strain of porous titanium alloys at various strain rates and temperatures were investigated with dynamic and quasistatic uniaxial compression tests for a further study on the processing mechanism of porous titanium material. Changes in their plastic flows were described through the one-dimensional Drucker-Prager (DP) constitutive model. Porous titanium alloys were micromilled in a DP simulation. After all parameters had been obtained in the DP model, the experimental and simulated true stress-strain curves and flow stress levels of two porous titanium alloys were compared to estimate the precision of the model. The findings were as follows. First, porous titanium alloys show deformation patterns characterized by pore collapse-induced deformation and have strong stress-hardening effects, but the patterns did not include noticeable plastic-flow plateaus. Second, porosity strongly affects the mechanical strength, strain-rate sensitivity, and temperature sensitivity of both alloys. Third, the DP model sufficiently describes the mechanical properties of both alloys at 25–300 °C and at strain rates of 1000–3000 s−1, with a deviation of 10% or lower. View Full-Text
Keywords: constitutive model; porous titanium alloy; stress and strain constitutive model; porous titanium alloy; stress and strain

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Liu, Z.; Ji, F.; Wang, M.; Zhu, T. One-Dimensional Constitutive Model for Porous Titanium Alloy at Various Strain Rates and Temperatures. Metals 2017, 7, 24.

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