A nonlocal interface approach to peridynamics exemplified by continuum‐kinematics‐inspired peridynamics
Laurien M, Javili A, Steinmann P (2022)
Publication Type: Journal article
Publication year: 2022
Journal
DOI: 10.1002/nme.6975
Open Access Link: https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.6975
Abstract
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.
Authors with CRIS profile
Marie Laurien
Lehrstuhl für Technische Mechanik (LTM)
Paul Steinmann
Lehrstuhl für Technische Mechanik (LTM)
Additional Organisation(s)
Involved external institutions
Turkey (TR)How to cite
APA:
Laurien, M., Javili, A., & Steinmann, P. (2022). A nonlocal interface approach to peridynamics exemplified by continuum‐kinematics‐inspired peridynamics. International Journal for Numerical Methods in Engineering. https://doi.org/10.1002/nme.6975
MLA:
Laurien, Marie, Ali Javili, and Paul Steinmann. "A nonlocal interface approach to peridynamics exemplified by continuum‐kinematics‐inspired peridynamics." International Journal for Numerical Methods in Engineering (2022).
BibTeX: Download