Advanced constitutive relations for steel alloys: Strain hardening and phase transformation effects

A. Rusinek; J.R. Klepaczko; J.A. Rodríguez-Martínez; A. Arias

doi:doi:10.1051/dymat/2009181

All issues

Volume 2 (2009)

10.1051/dymat/2009181

Abstract

Issue		DYMAT 2009 Volume 2, 2009 DYMAT 2009 - 9th International Conference on the Mechanical and Physical Behaviour of Materials under Dynamic Loading


Page(s)		1285 - 1289
Section		Constitutive Modeling
DOI		https://doi.org/10.1051/dymat/2009181
Published online		15 September 2009

DYMAT 2009 (2009) 1285-1289
DOI: 10.1051/dymat/2009181

Advanced constitutive relations for steel alloys: Strain hardening and phase transformation effects

A. Rusinek¹, J.R. Klepaczko², J.A. Rodríguez-Martínez³ and A. Arias³

¹ Engineering School of Metz (ENIM), Laboratory of Mechanic, Biomechanic, Polymer and Structures (LABPS), Ile du Saulcy, 57000 Metz, France
² Laboratory of Physics and Mechanics of Materials (LPMM) University Paul Verlaine of Metz, Ile du Saulcy, 57045 Metz, France
³ Department of Continuum Mechanics and Structural Analysis, University Carlos III of Madrid, Avda. de la Universidad 30, 28911 Leganés, Madrid, Spain

Published online: 15 September 2009

Abstract
Advanced computer codes offer constitutive relations that include temperature and rate dependence for metal plasticity analysis. However, the adequate use of these models has not been defined for different conditions of plastic strain, strain rate, temperature or phase transformation. The RK model, constitutive relation proposed by Rusinek and Klepaczko [Int J Plasticity 17 (2001), 87–115], includes an extended flexibility in the definition of metal behavior over wide ranges of plastic strain, strain rate and temperature. In this paper two contributions to the original RK formulation are reported. The first contribution is the proposition of phenomenological functions to define strain hardening rate of steel alloys as plastic strain dependent and stress dependent. Analytical predictions of modified RK relation have been validated with available experimental data of mild steel ES for a wide range of strain rates. The second contribution is the extension of the RK model to the description of martensitic transformation process by means of a probabilistic phenomenological function. Extended RK model shows a good agreement with experimental results of AISI 301LN steel for a wide range of strain rates. This constitutive relation reduces the number of material-parameters in comparison with models based on physical background.