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  • 1.
    Almqvist, Andreas
    et al.
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.
    Campañá, C
    University of Ottawa, Department of Chemistry, Ottawa, Canada K1N6N5.
    Prodanov, N
    Sumy State University, 2 Rimskii-KorsakovStr., 40007 Sumy, Ukraine.
    Persson, B N J
    IFF, Jülich.
    Interfacial separation between elastic solids with randomly rough surfaces: Comparison between theory and numerical techniques2011In: Journal of the mechanics and physics of solids, ISSN 0022-5096, E-ISSN 1873-4782, Vol. 59, no 11, p. 2355-2369Article in journal (Refereed)
    Abstract [en]

    We study the distribution of interfacial separations at the contact region between two elastic solids with randomly rough surfaces. An analytical expression is derived for the distribution of interfacial separations using Persson's theory of contact mechanics, and is compared to numerical solutions obtained using (a) a half-space method based on the Boussinesq equation, (b) a Green's function molecular dynamics technique and (c) smart-block classical molecular dynamics. Overall, we find good agreement between all the different approaches.

  • 2. Eriksson, Kjell
    A domain independent integral expression for the crack extension force of a curved crack in three dimensions2002In: Journal of the mechanics and physics of solids, ISSN 0022-5096, E-ISSN 1873-4782, Vol. 50, no 2, p. 381-403Article in journal (Refereed)
    Abstract [en]

    An integral expression that is domain independent in curvilinear coordinates and compatible with zero divergence of Eshelby's (Phil. Trans. Roy. Soc. (London) 244 (1951) 87.) energy momentum tensor was obtained from the principle of virtual work. By applying Eshelby's definition of the force on a material defect a general expression of the crack extension force for a curved crack in three dimensions, here called the F-integral, was derived from the domain independent integral expression. The F-integral is given explicitly for a number of curved cracks and found to be in agreement with previously known solutions, when available. The influence of crack surface and crack front curvature upon the various forms of the F-integral is discussed. The F-integral presented in this work is a generalisation of the J-integral (Rice, J. Appl. Mech. 35 (1968) 379.) to curved cracks in orthogonal curvilinear coordinates

  • 3.
    Tian, Rong
    et al.
    Northwestern University, Evanston.
    Chan, Stephanie
    Northwestern University, Evanston.
    Tang, Shan
    Northwestern University, Evanston.
    Kopacz, Adrian M.
    Northwestern University, Evanston.
    Wang, Jian-Sheng
    QuesTek Innovations LLC, Evanston, IL..
    Jou, Herng-Jeng
    QuesTek Innovations LLC, Evanston, IL..
    Siad, Larbi
    Université de Reims.
    Lindgren, Lars-Erik
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mechanics of Solid Materials.
    Olson, Gregory B.
    Northwestern University, Evanston.
    Liu, Wing Kam
    Northwestern University, Evanston.
    A multiresolution continuum simulation of the ductile fracture process2010In: Journal of the mechanics and physics of solids, ISSN 0022-5096, E-ISSN 1873-4782, Vol. 58, no 10, p. 1681-1700Article in journal (Refereed)
    Abstract [en]

    With the advancement in computational science that is stepping into the Petascale era and experimental techniques that enable rapid reconstruction of the 3D microstructure, quantitative microstructure simulations at an unprecedented fidelity level are giving rise to new possibilities for linking microstructure to property. This paper presents recent advances in 3D computational modeling of ductile fracture in high toughness steels. Ductile fracture involves several concurrent and mutually interactive mechanisms at multiple length scales of microstructure. With serial sectioning tomographic techniques, a digital data set of microstructure features associated with the fracture process has been experimentally reconstructed. In this study, primary particles are accurately and explicitly modeled while the secondary particles are modeled by a two scale multiresolution continuum model. The present numerical simulation captures detailed characteristics of the fracture process, such as zigzag crack morphology, critical void growth ratios, local stress triaxiality variation, and intervoid ligament structure. For the first time, fracture toughness is linked to multiscale microstructures in a realistic large 3D model.

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