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

International Journal for Numerical Methods in Engineering Wiley

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 Paul Steinmann Lehrstuhl für Technische Mechanik

Additional Organisation(s)

Graduiertenkolleg 2423 Skalenübergreifende Bruchvorgänge: Integration von Mechanik, Materialwissenschaften, Mathematik, Chemie und Physik

Involved external institutions

Bilkent University / Bilkent Üniversitesi TR 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).

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