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Proceedings Paper

Flexible multibody dynamics formulation using Peridynamic theory
Author(s): Mohammad Hadi Hafezi; Omid Kazemi
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Paper Abstract

In the nonlocal theory of peridynamic the partial derivatives that appear in the classical (local) continuum mechanics are replaced with integral equations. This is an important feature of peridynamic theory allowing it to be easily applied to problems where partial derivatives of the displacement field may not exist (e.g. sharp corners, bifurcation) inside an elastic continuum medium. Crack edge is an example where displacement field is not continuous and hence partial derivatives are undefined. In the past decade peridynamic theory has attracted researchers in modeling crack initiation and propagation, specifically phenomena like crack branching and multiple micro-crack interactions where other classical (local) theories may experience challenges. Despite its remarkable results peridynamics is still a relatively new topic and it has room for development. One area of development is coupling the peridynamics theory with the traditional multibody dynamics. This will provide a useful simulation tool in damage prediction of rotating parts such as wind turbines or helicopter rotor blades. In this paper, a coupled formulation of peridynamics and flexible multibody dynamics is presented. A floating frame of references (FFR) approach is taken to capture the large rotation and translation of a body that itself is modeled by using peridynamic theory.

Paper Details

Date Published: 27 March 2018
PDF: 6 pages
Proc. SPIE 10600, Health Monitoring of Structural and Biological Systems XII, 106001D (27 March 2018); doi: 10.1117/12.2297713
Show Author Affiliations
Mohammad Hadi Hafezi, The Univ. of Arizona (United States)
Omid Kazemi, The Univ. of Arizona (United States)

Published in SPIE Proceedings Vol. 10600:
Health Monitoring of Structural and Biological Systems XII
Tribikram Kundu, Editor(s)

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