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    Adaptive coupling between damage mechanics and peridynamics: a route for objective simulation of material degradation up to complete failure

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    Type
    Article
    Authors
    Han, Fei cc
    Lubineau, Gilles cc
    Azdoud, Yan
    KAUST Department
    Composite and Heterogeneous Material Analysis and Simulation Laboratory (COHMAS)
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2016-05-17
    Online Publication Date
    2016-05-17
    Print Publication Date
    2016-09
    Permanent link to this record
    http://hdl.handle.net/10754/609622
    
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    Abstract
    The objective (mesh-independent) simulation of evolving discontinuities, such as cracks, remains a challenge. Current techniques are highly complex or involve intractable computational costs, making simulations up to complete failure difficult. We propose a framework as a new route toward solving this problem that adaptively couples local-continuum damage mechanics with peridynamics to objectively simulate all the steps that lead to material failure: damage nucleation, crack formation and propagation. Local-continuum damage mechanics successfully describes the degradation related to dispersed microdefects before the formation of a macrocrack. However, when damage localizes, it suffers spurious mesh dependency, making the simulation of macrocracks challenging. On the other hand, the peridynamic theory is promising for the simulation of fractures, as it naturally allows discontinuities in the displacement field. Here, we present a hybrid local-continuum damage/peridynamic model. Local-continuum damage mechanics is used to describe “volume” damage before localization. Once localization is detected at a point, the remaining part of the energy is dissipated through an adaptive peridynamic model capable of the transition to a “surface” degradation, typically a crack. We believe that this framework, which actually mimics the real physical process of crack formation, is the first bridge between continuum damage theories and peridynamics. Two-dimensional numerical examples are used to illustrate that an objective simulation of material failure can be achieved by this method.
    Citation
    Adaptive coupling between damage mechanics and peridynamics: a route for objective simulation of material degradation up to complete failure 2016 Journal of the Mechanics and Physics of Solids
    Publisher
    Elsevier BV
    Journal
    Journal of the Mechanics and Physics of Solids
    DOI
    10.1016/j.jmps.2016.05.017
    Additional Links
    http://linkinghub.elsevier.com/retrieve/pii/S0022509616300175
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.jmps.2016.05.017
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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