Abstract
When modelling a cutting operation, the constitutive model of the machined material is one of the key parameters to obtain accurate and realistic results. Up to now, the Johnson-Cook model is still the most used, even if an increasing number of models, such as the Hyperbolic TANgent (TANH) model, were introduced last years to overcome its limitations and come closer to the actual material behaviour. Experimental tests on dedicated equipment are usually required to identify the parameters of the constitutive models. This paper introduces the Coupled Eulerian-Lagrangian (CEL) formalism to model in 3D the Taylor impact test, one of the common tests to perform that parameters identification. Indeed, one identification way involves modelling the test to determine the constitutive model parameters by comparing the experimental and the numerical samples geometries. The developed CEL model is validated against a Lagrangian reference model for a steel alloy and the Johnson-Cook constitutive model. The main goal of using the CEL method is to get rid of the elements distortion due to the high strains and strain rates during the test. Mesh dependence of the results is highlighted and a recommendation is provided on the mesh to adopt for future work. The CEL model of the 3D Taylor impact test is then extended to the use of the TANH model. The results are finally compared with that of the Johnson-Cook constitutive model.
Highlights
Constitutive models are one of the key aspects when modelling a cutting operation [1]
The Coupled Eulerian-Lagrangian (CEL) formulation has been introduced in this paper to model the 3D Taylor impact test with Abaqus/Explicit
Both Johnson- Cook and Hyperbolic TANgent material constitutive models have been adopted via VUMAT subroutines
Summary
Constitutive models are one of the key aspects when modelling a cutting operation [1]. To overcome them and try to come closer to the actual material behaviour, many models have been introduced the last decade [4] This usually has the consequence of increasing the number of parameters to identify. Elements deformation and/or distortion typically generated during the computation decreases the accuracy of the results and may significantly impact the values of the parameters. To overcome this limitation, this paper adopts the Coupled Eulerian-Lagrangian (CEL) formalism, already used for modelling high strain, strain rate and temperature problems such as a cutting operation [8,9], instead of the Lagrangian one for the development of a 3D model. Applying it to an improved version of the JC constitutive model
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