A polycrystal plasticity model of strain localization in irradiated iron

Barton, Nathan R.; Arsenlis, A.; Marian, Jaime

doi:10.1016/j.jmps.2012.10.009

Cited by 94 publications

(66 citation statements)

References 35 publications

(41 reference statements)

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“…See Patra and McDowell (2013) for a detailed description of the interstitial loop annihilation model. Other forms of flow localization models for irradiated fcc and bcc metals are given in Arsenlis et al (2004), Barton et al (2013), Krishna et al (2010).…”

Section: Constitutive Equation Notesmentioning

confidence: 99%

A void nucleation and growth based damage framework to model failure initiation ahead of a sharp notch in irradiated bcc materials

Patra

2015

Journal of the Mechanics and Physics of Solids

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a b s t r a c tA continuum damage framework is developed and coupled with an existing crystal plasticity framework, to model failure initiation in irradiated bcc polycrystalline materials at intermediate temperatures. Constitutive equations for vacancy generation due to inelastic deformation, void nucleation due to vacancy condensation, and diffusion-assisted void growth are developed. The framework is used to simulate failure initiation at dislocation channel interfaces and grain boundaries ahead of a sharp notch. Evolution of the microstructure is considered in terms of the evolution of inelastic deformation, vacancy concentration, and void number density and radius. Evolution of the damage, i.e., volume fraction of the voids, is studied as a function of applied deformation. Effects of strain rate and temperature on failure initiation are also studied. The framework is used to compute the fracture toughness of irradiated specimens for various loading histories and notch geometries. Crack growth resistance of the irradiated specimens are computed and compared to that of virgin specimens. Results are compared to available experimental data.

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Section: Constitutive Equation Notesmentioning

confidence: 99%

A void nucleation and growth based damage framework to model failure initiation ahead of a sharp notch in irradiated bcc materials

Patra

2015

Journal of the Mechanics and Physics of Solids

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“…This approach was first introduced in the 1960's (Lee and Liu, 1967) and has been very successful in many engineering applications (Simo, 1988;Ortiz and Repetto, 1999;Nemat-Nasser, 2004;Barton et al, 2013;Dassault Systèmes, 2012). However, the lack of a well-grounded justification for this decomposition has led to numerous debates in the literature.…”

Section: Introductionmentioning

confidence: 99%

Derivation of F=FeFp as the continuum limit of crystalline slip

Reina

Schlömerkemper

Conti

2016

Journal of the Mechanics and Physics of Solids

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In this paper we provide a proof of the multiplicative kinematic description of crystal elastoplasticity in the setting of large deformations, i.e. F = F e F p , for a two dimensional single crystal. The proof starts by considering a general configuration at the mesoscopic scale, where the dislocations are discrete line defects (points in the two-dimensional description used here) and the displacement field can be considered continuous everywhere in the domain except at the slip surfaces, over which there is a displacement jump. At such scale, as previously shown by two of the authors, there exists unique physically-based definitions of the total deformation tensor F and the elastic and plastic tensors F e and F p that do not require the consideration of any non-realizable intermediate configuration and do not assume any a priori relation between them of the form F = F e F p . This mesoscopic description is then passed to the continuum limit via homogenization i.e., by increasing the number of slip surfaces to infinity and reducing the lattice parameter to zero. We show for two-dimensional deformations of initially perfect single crystals that the classical continuum formulation is recovered in the limit with F = F e F p , det F p = 1 and G = Curl F p the dislocation density tensor.

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“…Recently, several crystal plasticity models have been proposed to consider the effects of irradiation and temperature on mechanical behaviors (Beyerlein and Tomé, 2008;Krishna et al, 2010;Patra and McDowell, 2013;Barton et al, 2013;Xiao et al, 2015). For instance, Beyerlein and Tomé (2008) incorporated the temperature effects into the evolution law of dislocation density, and proposed a crystal model for single phase HCP materials, which can study the temperature-dependent transition from the slip-dominated to twinning-dominated deformation.…”

Section: Introductionmentioning

confidence: 99%

“…Patra and McDowell (2013) formulated a continuum constitutive crystal plasticity model to simulate the post-irradiation behaviors of BCC materials, and the localized deformation because of the formation of dislocation channels were studied. The first tensorial plasticity model for irradiated BCC Fe was proposed by Barton et al (2013) to capture the plastic flow localization in defect free channels, and it was suggested that the interaction between the defect loops and the slip dislocations can hardly happen when the dislocation slip plane coincides with the defect habit plane. While for irradiated FCC metals, due to the three-dimensional geometry of defect SFTs, the spatial dependent SFT-dislocation interaction will be more complicated (Robach et al, 2006).…”

Section: Introductionmentioning

confidence: 99%