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Journal: Computational Methods in Applied Sciences

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Springer

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2015 - 20184
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Publications 1 - 4 of 4
  • Shape optimization by pursuing diffeomorphisms
    Item type: Journal Article
    Hiptmair, Ralf; Paganini, Alberto (2015)
    Computational Methods in Applied Sciences
    We consider PDE constrained shape optimization in the framework of nite element discretizationof the underlying boundary value problem. We present an algorithm tailored to preserve and exploit the ap-proximation properties of the nite element method, and that allows for arbitrarily high resolution of shapes.It employs (i) B-spline based representations of the deformation di eomorphism, and (ii) superconvergentdomain integral expressions for the shape gradient. We provide numerical evidence of the performance ofthis method both on prototypical well-posed and ill-posed shape optimization problems.
  • The Dynamics of the Rocking Frame
    Item type: Book Chapter
    Makris, Nicos; Vassiliou, Michalis F. (2015)
    Computational Methods in Applied Sciences ~ Seismic Assessment, Behavior and Retrofit of Heritage Buildings and Monuments
  • Comparison of phase-field models of fracture coupled with plasticity
    Item type: Book Chapter
    Alessi, Roberto; Ambati, Marreddy; Gerasimov, Tymofiy; et al. (2018)
    Computational Methods in Applied Sciences ~ Advances in Computational Plasticity
    In the last few years, several authors have proposed different phase-field models aimed at describing ductile fracture phenomena. Most of these models fall within the class of variational approaches to fracture proposed by Francfort and Marigo [13]. For the case of brittle materials, the key concept due to Griffith consists in viewing crack growth as the result of a competition between bulk elastic energy and surface energy. For ductile materials, however, an additional contribution to the energy dissipation is present, related to plastic deformations. Of crucial importance, for the performance of the modeling approaches, is the way the coupling is realized between plasticity and phase field evolution. Our aim is a critical revision of the main constitutive choices underlying the available models and a comparative study of the resulting predictive capabilities. © Springer International Publishing AG 2018.
  • Towards a Multiscale Scheme for Nonlinear Dynamic Analysis of Masonry Structures with Damage
    Item type: Book Chapter
    Triantafyllou, Savvas P.; Chatzi, Eleni (2015)
    Computational Methods in Applied Sciences ~ Seismic Assessment, Behavior and Retrofit of Heritage Buildings and Monuments
Publications 1 - 4 of 4