Sensitivity of polycrystal plasticity to slip system kinematic hardening laws for Al 7075-T6

dc.contributor.authorHennessey, Conor
dc.contributor.authorCastelluccio, Gustavo M.
dc.contributor.authorMcDowell, David L.
dc.date.accessioned2017-07-04T13:52:33Z
dc.date.available2017-07-04T13:52:33Z
dc.date.issued2017-01-22
dc.description.abstractThe prediction of formation and early growth of microstructurally small fatigue cracks requires use of constitutive models that accurately estimate local states of stress, strain, and cyclic plastic strain. However, few research efforts have attempted to systematically consider the sensitivity of overall cyclic stress-strain hysteresis and higher order mean stress relaxation and plastic strain ratcheting responses introduced by the slip system back-stress formulation in crystal plasticity, even for face centered cubic (FCC) crystal systems. This paper explores the performance of two slip system level kinematic hardening models using a finite element crystal plasticity implementation as a User Material Subroutine (UMAT) within ABAQUS (Abaqus unified FEA, 2016) [1], with fully implicit numerical integration. The two kinematic hardening formulations aim to reproduce the cyclic deformation of polycrystalline Al 7075-T6 in terms of both macroscopic cyclic stress-strain hysteresis loop shape, as well as ratcheting and mean stress relaxation under strain- or stress-controlled loading with mean strain or stress, respectively. The first formulation is an Armstrong-Frederick type hardening-dynamic recovery law for evolution of the back stress [2]. This approach is capable of reproducing observed deformation under completely reversed uniaxial loading conditions, but overpredicts the rate of cyclic ratcheting and associated mean stress relaxation. The second formulation corresponds to a multiple back stress Ohno-Wang type hardening law [3] with nonlinear dynamic recovery. The adoption of this back stress evolution law greatly improves the capability to model experimental results for polycrystalline specimens subjected to cycling with mean stress or strain. The relation of such nonlinear dynamic recovery effects are related to slip system interactions with dislocation substructures.en_UK
dc.identifier.citationConor Hennessey, Gustavo M. Castelluccio, David L. McDowell, Sensitivity of polycrystal plasticity to slip system kinematic hardening laws for Al 7075-T6, Materials Science and Engineering: A, Volume 687, 27 February 2017, Pages 241-248en_UK
dc.identifier.issn0921-5093
dc.identifier.urihttp://dx.doi.org/10.1016/j.msea.2017.01.070
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/12156
dc.language.isoenen_UK
dc.publisherElsevieren_UK
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectAluminumen_UK
dc.subjectCrystal plasticityen_UK
dc.subjectCyclic loadingen_UK
dc.titleSensitivity of polycrystal plasticity to slip system kinematic hardening laws for Al 7075-T6en_UK
dc.typeArticleen_UK

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