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    A morphing approach to couple state-based peridynamics with classical continuum mechanics

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    Type
    Article
    Authors
    Han, Fei cc
    Lubineau, Gilles cc
    Azdoud, Yan
    Askari, Abe
    KAUST Department
    Composite and Heterogeneous Material Analysis and Simulation Laboratory (COHMAS)
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2016-01-04
    Online Publication Date
    2016-01-04
    Print Publication Date
    2016-04
    Permanent link to this record
    http://hdl.handle.net/10754/592891
    
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    Abstract
    A local/nonlocal coupling technique called the morphing method is developed to couple classical continuum mechanics with state-based peridynamics. State-based peridynamics, which enables the description of cracks that appear and propagate spontaneously, is applied to the key domain of a structure, where damage and fracture are considered to have non-negligible effects. In the rest of the structure, classical continuum mechanics is used to reduce computational costs and to simultaneously satisfy solution accuracy and boundary conditions. Both models are glued by the proposed morphing method in the transition region. The morphing method creates a balance between the stiffness tensors of classical continuum mechanics and the weighted coefficients of state-based peridynamics through the equivalent energy density of both models. Linearization of state-based peridynamics is derived by Taylor approximations based on vector operations. The discrete formulation of coupled models is also described. Two-dimensional numerical examples illustrate the validity and accuracy of the proposed technique. It is shown that the morphing method, originally developed for bond-based peridynamics, can be successfully extended to state-based peridynamics through the original developments presented here.
    Citation
    A morphing approach to couple state-based peridynamics with classical continuum mechanics 2016 Computer Methods in Applied Mechanics and Engineering
    Publisher
    Elsevier BV
    Journal
    Computer Methods in Applied Mechanics and Engineering
    DOI
    10.1016/j.cma.2015.12.024
    Additional Links
    http://linkinghub.elsevier.com/retrieve/pii/S0045782515004302
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.cma.2015.12.024
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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