Kinematically exact peridynamics

Javili A, McBride A, Steinmann P (2021)

Publication Type: Authored book

Publication year: 2021

Publisher: Elsevier

ISBN: 9780128200698

DOI: 10.1016/B978-0-12-820069-8.00016-0

Abstract

The main objective of this contribution is to present a kinematically exact peridynamics (PD) formulation. The proposed formulation accounts for large deformations and is variationally consistent. We distinguish between one, two, and three neighbor interactions. One-neighbor interactions recover the original (bond-based) PD formalism. Two and three-neighbor interactions are fundamentally different to state-based PD. We account for material frame indifference and provide a set of appropriate arguments for objective interaction potentials accordingly. From a computational perspective, the proposed strategy is fully implicit and the quadratic rate of convergence associated with the Newton-Raphson scheme is observed. The capability of the proposed framework is demonstrated via a series of numerical examples at large deformations.

Authors with CRIS profile

Paul Steinmann

Involved external institutions

Bilkent University / Bilkent Üniversitesi TR Turkey (TR) University of Glasgow GB United Kingdom (GB)

How to cite

APA:

Javili, A., McBride, A., & Steinmann, P. (2021). Kinematically exact peridynamics. Elsevier.

MLA:

Javili, Ali, Andrew McBride, and Paul Steinmann. Kinematically exact peridynamics. Elsevier, 2021.

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