Micromechanical modeling of the elastic-viscoplastic behavior of polycrystalline steels having different microstructures

A micromechanical model based on a new and non-conventional self-consistent formulation has been applied to describe the elastic-viscoplastic behavior of steels with different microstructures in a wide range of strain rates. Good agreement between experimental and model predictions is found concerning the behavior of a ferritic single-phase interstitial free steel (IF) during quasi-static and dynamic tensile loadings. Due to the introduction of key physical parameters in the mathematical model, a good description is obtained of the differences observed between the constitutive behaviors of IF, high-strength low alloy (HSLA) and dual-phase (DP450, DP500 and DP600) steels. These differences concern strength, strain hardening as well as strain rate sensitivity.

[1]  H. Mughrabi,et al.  Annihilation of dislocations during tensile and cyclic deformation and limits of dislocation densities , 1979 .

[2]  M. Berveiller,et al.  A new class of micro–macro models for elastic–viscoplastic heterogeneous materials , 2002 .

[3]  M. Berveiller,et al.  The problem of two plastic and heterogeneous inclusions in an anisotropic medium , 1987 .

[4]  M. Berveiller,et al.  Micromechanical modeling of the elastic-viscoplastic behavior of polycrystalline steels , 2001 .

[5]  M. Tang,et al.  Dislocation mobility and the mechanical response of b.c.c. single crystals: A mesoscopic approach , 1998 .

[6]  T. Lin Analysis of elastic and plastic strains of a face-centred cubic crystal☆ , 1957 .

[7]  F. Nabarro,et al.  Dislocations in solids , 1979 .

[8]  S. V. Harren,et al.  The finite deformation of rate-dependent polycrystals—I. A self-consistent framework , 1991 .

[9]  T. Sakaki,et al.  Plastic anisotropy of dual-phase steels , 1990 .

[10]  André Zaoui,et al.  An extension of the self-consistent scheme to plastically-flowing polycrystals , 1978 .

[11]  J. R. Klepaczko,et al.  Shear testing of a sheet steel at wide range of strain rates and a constitutive relation with strain-rate and temperature dependence of the flow stress , 2001 .

[12]  S. Nemat-Nasser,et al.  Rate-dependent, finite elasto-plastic deformation of polycrystals , 1986, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[13]  P. Franciosi,et al.  The concepts of latent hardening and strain hardening in metallic single crystals , 1985 .

[14]  A. Molinari,et al.  Tuning a self consistent viscoplastic model by finite element results—I. Modeling , 1994 .

[15]  George J. Weng,et al.  Strain-Rate Sensitivity, Relaxation Behavior, and Complex Moduli of a Class of Isotropic Viscoelastic Composites , 1994 .

[16]  Paul Lipinski,et al.  Micromechanical modelling of the elastoplastic behavior of polycrystals containing precipitates— Application to hypo- and hyper-eutectoid steels , 1997 .

[17]  G. Weng,et al.  A secant-viscosity approach to the time-dependent creep of an elastic viscoplastic composite , 1997 .

[18]  G. Weng A Self-Consistent Scheme for the Relaxation Behavior of Metals , 1981 .

[19]  J. Martin,et al.  Micromechanisms in particle-hardened alloys , 1980 .

[20]  A. Luft Microstructural processes of plastic instabilities in strengthened metals , 1991 .

[21]  E. Kröner Bounds for effective elastic moduli of disordered materials , 1977 .

[22]  Integral formulation and self-consistent modelling of elastoviscoplastic behavior of heterogeneous materials , 1999 .

[23]  P. Guyot Hardening by ordered coherent precipitates related to the statistical theory , 1971 .

[24]  J. D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[25]  N. C. Goel,et al.  A theoretical model for the flow behavior of commercial dual-phase steels containing metastable retained austenite: Part I. derivation of flow curve equations , 1985 .

[26]  E. Kröner Zur plastischen verformung des vielkristalls , 1961 .

[27]  Rodney Hill,et al.  Continuum micro-mechanics of elastoplastic polycrystals , 1965 .

[28]  L. Kubin,et al.  In situ deformation of b.c.c. crystals at low temperatures in a high-voltage electron microscope Dislocation mechanisms and strain-rate equation , 1979 .