Simulating the Fracture of Notched Mortar Beams through Extended Finite-Element Method and Peridynamics
Publication: Journal of Engineering Mechanics
Volume 145, Issue 7
Abstract
This paper simulates fracture in notched mortar beams under three-point bending using an extended finite-element method (XFEM) and peridynamics. A three-phase microstructure (i.e., cement paste, aggregates, and paste–aggregate interface) is used for the constitutive modeling of the mortar in order to obtain the elastic properties for simulation. In the XFEM approach, the simulated homogenized elastic modulus is used along with the total fracture energy of the cement mortar in a damage model to predict the fracture response of the mortar, including crack propagation and fracture parameters [Mode I stress intensity factor, , and critical crack tip opening displacement ()]. The damage model incorporates a maximum principal stress-based damage initiation criterion and a traction-separation law for damage evolution. In the peridynamics approach, a bond-based model involving a prototype microelastic brittle (PMB) material model is used and implemented in LS-DYNA. The elastic properties and fracture energy release rates are used as inputs in the PMB model, along with the choice of peridynamic horizon size. Comparisons with experimental fracture properties (, ) and crack propagation paths from digital image correlation show that both approaches yield satisfactory results, particularly for and crack extension. Thus, both methods can be adopted for fracture simulation of cement-based materials.
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Acknowledgments
The authors gratefully acknowledge financial support for this research provided by the US Department of Energy, Nuclear Engineering University Program (NEUP) under Grant No. DE-NE0008398. Sumanta Das acknowledges the support from College of Engineering (COE) and the Department of Civil and Environmental Engineering at the University of Rhode Island (URI). The contents of this paper reflect the views of the authors, who are responsible for the facts and accuracy of the data presented herein, and do not necessarily reflect the views and policies of the funding agency, nor do the contents constitute a standard, specification, or a regulation.
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Journal of Engineering Mechanics
Volume 145 • Issue 7 • July 2019
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©2019 American Society of Civil Engineers.
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Received: Jun 18, 2018
Accepted: Dec 12, 2018
Published online: May 8, 2019
Published in print: Jul 1, 2019
Discussion open until: Oct 8, 2019
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