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Characterization of Material Properties Based on Inverse Finite Element Modelling

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The Manufacturing Technology Centre Ltd., Ansty Park, Coventry CV7 9JU, UK
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Advanced Manufacturing Technology Research Laboratory (AMTREL), Faculty of Engineering and Technology (FET), Liverpool John Moores University, Liverpool L3 3AF, UK
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Author to whom correspondence should be addressed.
Inventions 2019, 4(3), 40; https://doi.org/10.3390/inventions4030040
Received: 3 July 2019 / Revised: 30 July 2019 / Accepted: 1 August 2019 / Published: 2 August 2019
(This article belongs to the Special Issue Modern Grinding Technology and Systems 2019)
This paper describes a new approach that can be used to determine the mechanical properties of unknown materials and complex material systems. The approach uses inverse finite element modelling (FEM) accompanied with a designed algorithm to obtain the modulus of elasticity, yield stress and strain hardening material constants of an isotropic hardening material model, as well as the material constants of the Drucker–Prager material model (modulus of elasticity, cap yield stress and angle of friction). The algorithm automatically feeds the input material properties data to finite element software and automatically runs simulations to establish a convergence between the numerical loading–unloading curve and the target data obtained from continuous indentation tests using common indenter geometries. A further module was developed to optimise convergence using an inverse FEM analysis interfaced with a non-linear MATLAB algorithm. A sensitivity analysis determined that the dual spherical and Berkovich (S&B) approach delivered better results than other dual indentation methods such as Berkovich and Vickers (B&V) and Vickers and spherical (V&S). It was found that better convergence values can be achieved despite a large variation in the starting parameter values and/or material constitutive model and such behaviour reflects the uniqueness of the dual S&B indentation in predicting complex material systems. The study has shown that a robust optimization method based on a non-linear least-squares curve fitting function (LSQNONLIN) within MATLAB and ABAQUS can be used to accurately predict a unique set of elastic plastic material properties and Drucker–Prager material properties. This is of benefit to the scientific investigation of properties of new materials or obtaining the material properties at different locations of a part which may be not be similar because of manufacturing processes (e.g., different heating and cooling rates at different locations). View Full-Text
Keywords: material characterization; inverse finite element material modelling; elastic plastic material model; Drucker–Prager material model material characterization; inverse finite element material modelling; elastic plastic material model; Drucker–Prager material model
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Jamal, M.; Morgan, M.N. Characterization of Material Properties Based on Inverse Finite Element Modelling. Inventions 2019, 4, 40.

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