Title: Hardening effect analysis in indentation processes by modular configuration of the upper bound theorem

Authors: Carolina Bermudo Gamboa; Francisco De Sales Martín Fernández; Lorenzo Sevilla Hurtado

Addresses: Department of Manufacturing Engineering, University of Malaga, C/Dr. Ortiz Ramos, s/n E-29071 Malaga, Spain ' Department of Manufacturing Engineering, University of Malaga, C/Dr. Ortiz Ramos, s/n E-29071 Malaga, Spain ' Department of Manufacturing Engineering, University of Malaga, C/Dr. Ortiz Ramos, s/n E-29071 Malaga, Spain

Abstract: Present study yields an alternative technique to model an indentation process, considering the hardening effect. Earlier works focus on modelling the material behaviour during indentation under the new Modular Upper Bound Theorem. The material was analysed under plane strain conditions and rigidperfectly plastic material. Now, the aim of this research is to confer versatility to the new model developed, enriching the study and bringing results closer reality. Hence, a better approximation of the new Modular Upper Bound Theorem to a real indentation process is achieved by the introduction and study of the hardening effect. This is accomplished following the Ludwik equation for the modular configuration and implementing several simulations under finite element method analysis. To investigate the effectiveness of the developed model, results obtained with both methods are compared, showing only a difference between 3% to 5% for the optimum configuration considered, exposing again the consistency of the model.

Keywords: hardening effect; indentation processes; modular configuration; upper bound theorem; finite element method; FEM.

DOI: 10.1504/IJMMS.2017.084376

International Journal of Mechatronics and Manufacturing Systems, 2017 Vol.10 No.1, pp.59 - 70

Received: 04 Apr 2016
Accepted: 04 Oct 2016

Published online: 25 May 2017 *

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