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A nonlocal interface approach to peridynamics exemplified by continuum‐kinematics‐inspired peridynamics
Author(s) -
Laurien Marie,
Javili Ali,
Steinmann Paul
Publication year - 2022
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6975
Subject(s) - peridynamics , kinematics , computer science , classical mechanics , variety (cybernetics) , continuum mechanics , quantum nonlocality , coupling (piping) , physics , mechanics , materials science , artificial intelligence , composite material , quantum mechanics , quantum entanglement , quantum
In this contribution, we present a novel approach on how to treat material interfaces in nonlocal models based on peridynamics (PD) and in particular continuum‐kinematics‐inspired peridynamics (CPD), a novel variationally consistent peridynamic formulation. Our method relies on a nonlocal interface where the material subdomains overlap. Within this region, a kinematic coupling of the two constituents is enforced. The contact is purely geometrical as interaction forces act only between points of the same material. We provide a detailed description of the computational implementation within the framework of CPD, that is in principle applicable to all formulations of PD. A variety of numerical examples for modeling bimaterial interfaces illustrate the utility of the technique for both two‐dimensional and three‐dimensional problems, including examples at large deformations. Our model approaches a local model when the nonlocality parameter, the horizon size, is decreased. The proposed methodology offers a viable alternative to previous approaches in PD, which are essentially imposing mixture rules for the interfacial material parameters.

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