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J Mech Behav Biomed Mater. 2019 Sep;97:126-137. doi: 10.1016/j.jmbbm.2019.05.013. Epub 2019 May 12.

Benchmarking of several material constitutive models for tribology, wear, and other mechanical deformation simulations of Ti6Al4V.

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School of Aerospace, Transport and Manufacturing, Cranfield University, MK430AL, UK.
School of Aerospace, Transport and Manufacturing, Cranfield University, MK430AL, UK. Electronic address:
Surface Technologies, Mondragon University, Loramendi 4, 20500, Arrasate, Mondragon, Spain.
McMaster Manufacturing Research Institute, (MMRI), McMaster University, Hamilton, Ontario, Canada.
Kennametal Shared Services Gmbh, Altweiherstr 27-31, Ebermannstadt, 91320, Germany.


Use of an alpha-beta (multiphase HCP-BCC) titanium alloy, Ti6Al4V, is ubiquitous in a wide range of engineering applications. The previous decade of finite element analysis research on various titanium alloys for numerous biomedical applications especially in the field of orthopedics has led to the development of more than half a dozen material constitutive models, with no comparison available between them. Part of this problem stems from the complexity of developing a vectorised user-defined material subroutine (VUMAT) and the different conditions (strain rate, temperature and composition of material) in which these models are experimentally informed. This paper examines the extant literature to review these models and provides quantitative benchmarking against the tabulated material model and a power law model of Ti6Al4V taking the test case of a uniaxial tensile and cutting simulation.


Cutting; Johnson-cook model; Material models; Tensile test; Ti6Al4V; Voyiadjis-abed model; Zerilli armstrong model

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