Wave Dispersion in Peridynamics
Title: Wave Dispersion in Peridynamics
Authors: Bingquan Wang, Selda Oterkus and Erkan Oterkus
Address: University of Strathclyde, 100 Montrose Street Glasgow G4 0LZ United Kingdom
Abstract: Peridynamics [1-7] is a new non-local continuum mechanics formulation. Therefore, there are several differences between classical continuum mechanics and peridynamics since classical continuum mechanics is a local theory. Classical continuum mechanics uses partial differential equations for its governing equation. Although these equations have been used for the solution of numerous problems of structural mechanics for the last two hundred years, they confront difficulties if discontinuities exist in the structures such as cracks. For these special conditions, special treatments are necessary since derivatives are not defined along discontinuity surfaces. Peridynamics does not suffer from discontinuity related problems since its governing equations are in the form of integro-differential equations and do not contain spatial derivatives. In addition, peridynamics has a length scale parameter called “horizon” which doesn’t exist in classical continuum mechanics. Another important characteristic of peridynamics is its capability to represent wave dispersion which is observed in real materials especially at shorter wave lengths. In other words, wave frequency and wave number has a non-linear relationship in peridynamics as opposed to linear relationship in classical continuum mechanics. Hence, in this study, we present wave dispersion characteristics of peridynamics and compare against classical continuum mechanics.
REFERENCES
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Wave Dispersion in Peridynamics
Category
Technical Presentation
Description
Session: 04-12-01 Peridynamics Modeling
ASME Paper Number: IMECE2020-24420
Session Start Time: November 19, 2020, 01:35 PM
Presenting Author: Erkan Oterkus
Presenting Author Bio: Dr. Erkan Oterkus is a professor in the department of Naval Architecture, Ocean and Marine Engineering of University of Strathclyde. He is also the director of PeriDynamics Research Centre (PDRC). He received his PhD from University of Arizona, USA and was a researcher at NASA Langley Research Center, USA before joining University of Strathclyde. His research is mainly focused on computational mechanics of materials and structures by using some of the state-of-the-art techniques including peridynamics and inverse finite element method. Some of his recent research is focusing on multiscale modelling of stress corrosion cracking, underwater shock response of marine composite structures, failure analysis of electronic packages, collision and grounding of ships and real-time monitoring of ship structures. His research has been supported by various organizations including European Union, Defence Science and Technology Laboratory (DSTL), British Council, U.S. Air Force Research Laboratory, Samsung Electronics, Lloyd’s Register, Babcock, QinetiQ, ORE Catapult, KIAT and Tubitak. He is the co-author of numerous publications including the first of book on peridynamics, journal and conference papers. Dr. Oterkus was a visiting professor at Stanford University (USA), University of Padova (Italy), Otto von Guericke University (Germany) and Nihon University (Japan). Dr. Oterkus is an associate editor of Journal of Peridynamics and Nonlocal Modeling (Springer) and Sustainable Marine Structures (NASS). He is also a subject editor of Journal of the Faculty of Engineering and Architecture of Gazi University. In addition, Dr. Oterkus is Special Issue Editor for Computational Materials Science (Elsevier), Journal of Mechanics (Cambridge), Journal of Marine Science and Engineering (MDPI), and AIMS Materials Science. Dr. Oterkus is a member of the editorial boards of International Journal of Naval Architecture and Ocean Engineering (Elsevier), Journal of Marine Science and Engineering (MDPI), Composite Materials, Annals of Limnology and Oceanography, Materials International, and Journal of Composites and Biodegradable Polymers.
Authors: Bingquan Wang University of Strathclyde
Selda Oterkus University of Strathclyde
Erkan Oterkus University of Strathclyde