Virtual Internal Pair-Bond Model for Quasi-Brittle Materials
Publication: Journal of Engineering Mechanics
Volume 134, Issue 10
Abstract
The present multiscale investigation employs the initial and total fracture energy through a virtual internal pair-bond (VIPB) model. The proposed VIPB model is an extension of the traditional virtual internal bond (VIB) model. Two different types of potentials, a steep short-range potential and a shallow long-range potential, are employed to describe the initial and the total fracture energies, respectively. The Morse potential function is modified for the virtual bond potential so that it is independent of specific length scales associated with the lattice geometry. This feature is incorporated in the VIPB model, which uses both fracture energies and cohesive strength. With respect to the discretization by finite elements, we address the element size dependence in conjunction with the integral. Parameters in the VIPB model are evaluated by numerical simulations of a pure tension test in conjunction with measured fracture parameters. We also validate the VIPB model by predicting load versus crack mouth opening displacement curves for geometrically similar specimens, and the measured size effect. Finally, we provide an example involving fiber-reinforced concrete, which demonstrates the advantage of the VIPB model over the usual VIB model.
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Acknowledgments
The writers would like to acknowledge support from the National Science Foundation (NSF) through Grant NSFCMMI 0800805. The writers also acknowledge support from the Center of Excellence for Airport Technology (CEAT), funded by the Federal Aviation Administration (FAA) under Research Grant Number UNSPECIFIED95-C-001 and the Univ. of Illinois. The writers appreciate the useful comments of Dr. David R. Brill to this work. The information presented in this paper is the sole opinion of the writers and does not necessarily reflect the views of the sponsors.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 134 • Issue 10 • October 2008
Pages: 856 - 866
Copyright
© 2008 ASCE.
History
Received: Jan 10, 2007
Accepted: Feb 21, 2008
Published online: Oct 1, 2008
Published in print: Oct 2008
Notes
Note. Associate Editor: Jiun-Shyan Chen
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