Study of the non-linear stress-strain behavior in Ti-Nb-Zr alloys

Schneider, S.; Silva, Helena Marques da; Neto, Carlos de Moura

doi:10.1590/s1516-14392005000400013

Cited by 42 publications

(14 citation statements)

References 7 publications

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“…The value of dynamical elastic modulus at room temperature of TNZ + WQ + 670 K/3 h alloys obtained by flexural vibrations is 87 GPa. The difference between the values of dynamical elastic modulus observed in this work for Ti-13Nb-13Zr with aging treatment and literature data for Ti-13Nb-13Zr without aging treatment (61.9 GPa) 21 , can be associated with the change of the proportion of α and β phases which contributes atypically for elastic modulus value of the material, besides that, the presence precipitates in the alloy after aging treatment harden the material and reduce its ductility 22,23 .…”

Section: Resultscontrasting

confidence: 56%

Dynamical Elastic Moduli of the Ti-13Nb-13Zr biomaterial alloy by mechanical spectroscopy

et al. 2012

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Dynamical Elastic Moduli of the Ti-13Nb-13Zr biomaterial alloy were obtained using the mechanical spectroscopy technique. The sample with heat treatment at 1170K for 30 minutes and water quenched with subsequent aging treatment at 670 K for 3 hours (TNZ + WQ + 670 K/3 h), was characterized through decay of free oscillations of the sample in the flexural vibration mode. The spectra of anelastic relaxation (internal friction and frequency) in the temperature range from 300 K to 625 K not revealed the presence of relaxation process. As shown in the literature, the hcp structure usually does not exhibit any relaxation due to the symmetry of the sites in the crystalline lattice, but if there is some relaxation, this only occurs in special cases such as low concentration of zirconium or saturation of the stoichiometric ratio of oxygen for zirconium. Dynamical elastic modulus obtained for TNZ + WQ + 670 K/3 h alloy was 87 GPa at room temperature, which is higher than the value for Ti-13Nb-13Zr alloy (64 GPa) of the literature. This increment may be related to the change of the proportion of α and β phases. Besides that, the presence of precipitates in the alloy after aging treatment hardens the material and reduces its ductility.

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Section: Resultscontrasting

confidence: 56%

Dynamical Elastic Moduli of the Ti-13Nb-13Zr biomaterial alloy by mechanical spectroscopy

et al. 2012

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“…The published experimental data are collected from various sources [1,[41][42][43][44][45][46][47][48][49][50]. The input variables consist of compositional variables and processing parameters and the output variable are the mechanical properties.…”

Section: Databasementioning

confidence: 99%

Imprecise knowledge based design and development of titanium alloys for prosthetic applications

Datta

Mahfouf

Zhang

et al. 2016

Journal of the Mechanical Behavior of Biomedical Materials

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Sultana, N. (2015) Imprecise knowledge based design and development of titanium alloys for prosthetic applications.Journal Abstract Imprecise knowledge on the composition-processing-microstructure-property correlation of titanium alloys combined with experimental data are used for developing rule based models for predicting the strength and elastic modulus of titanium alloys. The developed models are used for designing alloys suitable for orthopaedic and dental applications. Reduced Space Searching Algorithm is employed for the multi-objective optimization to find composition, processing and microstructure of titanium alloys suitable for orthopaedic applications. The conflicting requirements attributes of the alloys for this particular purpose are high strength with low elastic modulus, along with adequate biocompatibility and low costs. The 'Pareto' solutions developed through multi-objective optimization show that the preferred compositions for the fulfilling the above objectives lead to β or near β alloys. The concept of decision making employed on the solutions leads to some compositions, which should provide better combination of the required attributes. The experimental development of some of the alloys has been carried out as guided by the model-based design methodology ©2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ 2 presented in this research. Primary characterizations of the alloys show encouraging results in terms of the mechanical properties.

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“…Later, Krenzke and Kiernan completed four series of tests for more than 200 small spherical models with different imperfections; they derived the empirical formula with the tangent and the secant modulus [12]. Schneider et al proposed a procedure and formulae for calculating the tangent modulus from the actual stress-strain curve [13]. Pranesh et al used the tangent modulus theory to calculate the inelastic buckling strength of a spherical shell under pressure; their results are close to those of the theoretical and the numerical method [14].…”

Section: Introductionmentioning

confidence: 99%

A Study on the Explicit Expression of Critical Stress and Euler Stress and its Application

Zhang

Luo

2019

TFAMENA

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Both the tangent modulus theory and the double modulus theory are classical theories which can be applied to the elastic-plastic stability analysis of columns. In the traditional tangent modulus theory, numerous iterations are required to calculate the critical buckling stress and this makes the method very time-consuming. In this paper, an explicit formula for establishing a direct correlation between the critical stress and the Euler stress has been proposed to reduce trial calculations. This formula can be applied to spherical shells by simplifying their stiffened plates to the form of beams on elastic foundations. The explicit expressions of both modulus theories can be used to calculate the ultimate strength of a spherical shell under pressure. The results from the proposed expression are compared with experimental results and other numerical results.

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Study of the non-linear stress-strain behavior in Ti-Nb-Zr alloys

Cited by 42 publications

References 7 publications

Dynamical Elastic Moduli of the Ti-13Nb-13Zr biomaterial alloy by mechanical spectroscopy

Dynamical Elastic Moduli of the Ti-13Nb-13Zr biomaterial alloy by mechanical spectroscopy

Imprecise knowledge based design and development of titanium alloys for prosthetic applications

A Study on the Explicit Expression of Critical Stress and Euler Stress and its Application

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