Abstract
Peridynamic (PD) theory is an integral-type nonlocal continuum mechanics theory that reformulates the equation of motion in local continuum mechanics as an integrodifferential equation. PD theory has been used to simulate mechanical responses of various materials with discontinuous structures. During the past two decades, PD theory has been developed to simulate different discontinuous problems and to illustrate various discontinuous phenomena in the diverse fields of engineering and sciences. In this paper, a state-of-the-art review on the investigation of failure processes of geomaterials in a PD framework is performed to illustrate the successful results and potential capability of PD theory in future geotechnical engineering. This review starts with a brief theoretical description of a bond-based peridynamic (BB-PD) model, a state-based peridynamic (SB-PD) model, a hybrid PD–classical continuum mechanics model, and an analytical PD model. Then surveys of PD applications to coupled multiphysical failure problems of geomaterials are conducted, which aim at revealing the associated failure mechanism. The applications of PD theory to simulate real geotechnical engineering are subsequently reported. Finally, some future-oriented research perspectives of PD applications in geotechnical engineering and a brief summary are presented.
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Data Availability Statement
Some or all data sets and codes for this paper can be obtained from the corresponding author upon reasonable request.
Acknowledgments
This work was partially carried out with funding from the Natural Science Foundation of China (Grants Nos. 51679017 and 51839009).
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Journal of Engineering Mechanics
Volume 147 • Issue 1 • January 2021
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© 2020 American Society of Civil Engineers.
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Published online: Oct 31, 2020
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