Multiscale Modeling of the Negative Strain-Rate Sensitivity in Solid Solutions: A Constitutive Formulation

M. A. Soare; Catalin Picu

doi:10.1615/IntJMultCompEng.v3.i4.20

International Journal for Multiscale Computational Engineering

Chief-in-Editor: Jacob Fish (open in a new tab)

Senior Advisor: J. Tinsley Oden (open in a new tab)

Mitherausgebers: Somnath Ghosh (open in a new tab) Arif Masud (open in a new tab) Klaus Hackl (open in a new tab) Karel Matous (open in a new tab) Thomas J.R. Hughes (open in a new tab) Caglar Oskay (open in a new tab) Tamar Schlick (open in a new tab)

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ISSN Druckformat: 1543-1649

ISSN Online: 1940-4352

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Multiscale Modeling of the Negative Strain-Rate Sensitivity in Solid Solutions: A Constitutive Formulation

Volumen 3, Ausgabe 4, 2005, pp. 415-435

DOI: 10.1615/IntJMultCompEng.v3.i4.20

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M. A. Soare
Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180

Catalin Picu
Department of Mechanical Engineering, Rensselaer Polytechnic Institute, Troy, NY, 12180, USA

ABSTRAKT

A physically based constitutive model capturing the reduced strain-rate sensitivity of dilute solid solutions is developed. The decrease of the strain-rate sensitivity parameter is associated with the variation of the strength of dislocation junctions with the size of solute clusters forming on forest dislocations. It is shown that the strength of junctions formed by unclustered mobile dislocations and clustered forests increases with the size of the cluster and, therefore, with the aging time of forests. The formulation is calibrated based on results obtained from mesoscopic models of dislocation interactions in the presence of solute clusters at forest dislocations. The strength of junctions is evaluated for most geometries and an averaging procedure is used to predict the strain-rate sensitivity. Several features observed experimentally are reproduced by the model. Its limitations are discussed in closing. The data may also be used as input for discrete dislocation dynamics simulations.

REFERENZIERT VON

Xu Zhijie, Picu R C, Effect of residual and pre-existing solute clusters on dynamic strain ageing in dilute solid solutions, Modelling and Simulation in Materials Science and Engineering, 15, 5, 2007. Crossref
Zhang F., Bower A. F., Curtin W. A., Finite element implementation of a kinetic model of dynamic strain aging in aluminum-magnesium alloys, International Journal for Numerical Methods in Engineering, 86, 1, 2011. Crossref
Picu R.C., Soare M.A., Asymmetric dislocation junctions exhibit a broad range of strengths, Scripta Materialia, 62, 7, 2010. Crossref
Soare M.A., Curtin W.A., Solute strengthening of both mobile and forest dislocations: The origin of dynamic strain aging in fcc metals, Acta Materialia, 56, 15, 2008. Crossref
Keralavarma S. M., Bower A. F., Curtin W. A., Quantum-to-continuum prediction of ductility loss in aluminium–magnesium alloys due to dynamic strain aging, Nature Communications, 5, 1, 2014. Crossref
Khan Mohammad, Picu Catalin R, Strain hardening in molecular crystal cyclotetramethylene-tetranitramine (β-HMX): a theoretical evaluation, Modelling and Simulation in Materials Science and Engineering, 29, 7, 2021. Crossref

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