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Open AccessArticle

Constitutive Models for Dynamic Strain Aging in Metals: Strain Rate and Temperature Dependences on the Flow Stress

1
Department of Civil Engineering, The University of Texas Rio Grande Valley, 1201 W University Dr, Edinburg, TX 78539, USA
2
Department of Continuum Mechanics and Structural Analysis, University Carlos III of Madrid, Avda. de la Universidad 30, 28911 Leganés, Madrid, Spain
3
Laboratory of Microstructure Studies and Mechanics of Materials, UMR-CNRS 7239, Lorraine University, 7 rue Félix Savart, BP 15082, 57073 Metz CEDEX 03, France
4
Chair of Excellence, Departamento de Ingeniería Mecánica, University Carlos III of Madrid, Avda. de la Universidad 30, 28911 Leganés, Madrid, Spain
*
Author to whom correspondence should be addressed.
Dr. D. Garcia-Gonzales and Prof. A. Rusinek dedicate this paper to their friend and colleague Prof. J.F. Sáez from UC3M who passed away in 30 March 2020.
Materials 2020, 13(7), 1794; https://doi.org/10.3390/ma13071794
Received: 25 March 2020 / Revised: 4 April 2020 / Accepted: 7 April 2020 / Published: 10 April 2020
(This article belongs to the Special Issue Dynamic Behaviour of Metallic Materials)
A new constitutive model for Q235B structural steel is proposed, incorporating the effect of dynamic strain aging. Dynamic strain aging hugely affects the microstructural behavior of metallic compounds, in turn leading to significant alterations in their macroscopic mechanical response. Therefore, a constitutive model must incorporate the effect of dynamic strain aging to accurately predict thermo-mechanical deformation processes. The proposed model assumes the overall response of the material as a combination of three contributions: athermal, thermally activated, and dynamic strain aging stress components. The dynamic strain aging is approached by two alternative mathematical expressions: (i) model I: rate-independent model; (ii) model II: rate-dependent model. The proposed model is finally used to study the mechanical response of Q235B steel for a wide range of loading conditions, from quasi-static loading ( ε ˙ = 0.001   s 1 and ε ˙ = 0.02   s 1 ) to dynamic loading ( ε ˙ = 800   s 1 and ε ˙ = 7000   s 1 ), and across a broad range of temperatures ( 93   K 1173   K ). The results from this work highlight the importance of considering strain-rate dependences (model II) to provide reliable predictions under dynamic loading scenarios. In this regard, rate-independent approaches (model I) are rather limited to quasi-static loading. View Full-Text
Keywords: constitutive model; dynamic strain aging; probability function; strain rate effect; Q235B steel constitutive model; dynamic strain aging; probability function; strain rate effect; Q235B steel
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MDPI and ACS Style

Song, Y.; Garcia-Gonzalez, D.; Rusinek, A. Constitutive Models for Dynamic Strain Aging in Metals: Strain Rate and Temperature Dependences on the Flow Stress. Materials 2020, 13, 1794. https://doi.org/10.3390/ma13071794

AMA Style

Song Y, Garcia-Gonzalez D, Rusinek A. Constitutive Models for Dynamic Strain Aging in Metals: Strain Rate and Temperature Dependences on the Flow Stress. Materials. 2020; 13(7):1794. https://doi.org/10.3390/ma13071794

Chicago/Turabian Style

Song, Yooseob; Garcia-Gonzalez, Daniel; Rusinek, Alexis. 2020. "Constitutive Models for Dynamic Strain Aging in Metals: Strain Rate and Temperature Dependences on the Flow Stress" Materials 13, no. 7: 1794. https://doi.org/10.3390/ma13071794

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