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An axisymmetric model for Taylor impact test and estimation of metal plasticity
Author(s) -
Sukanta Chakraborty,
Amit Shaw,
B. Banerjee
Publication year - 2014
Publication title -
proceedings of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
eISSN - 1471-2946
pISSN - 1364-5021
DOI - 10.1098/rspa.2014.0556
Subject(s) - rotational symmetry , plasticity , deformation (meteorology) , inverse , constitutive equation , mechanics , taylor series , function (biology) , field (mathematics) , mathematics , geometry , geology , structural engineering , mathematical analysis , physics , engineering , finite element method , thermodynamics , evolutionary biology , biology , pure mathematics , oceanography
The impact of a flat-ended cylindrical rod onto a rigid stationary anvil, often known as the Taylor impact test, is studied. An axisymmetric model is developed to capture the deformation behaviour of the rod after impact. The most distinctive feature of the proposed model is that it takes into account the spatial and temporal variation of both longitudinal and radial deformation and consequently the strains and strain rates. The final deformed shapes and time histories of different field variables, as obtained from the model, are found to be in good agreement with corresponding experimental and numerical results reported in the literature. The proposed model is then used to formulate an inverse framework to estimate the Johnson–Cook constitutive parameters. In the inverse formulation, the objective function is constructed using the final deformed length and diameter at the impact end of the retrieved rod. Finally, the potential of the proposed model in estimating material parameters is illustrated through some examples.

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