Implementation of the Displacement Discontinuity Method in Geotechnical Case Studies

This paper uses the displacement discontinuity method, one of the boundary element methods, to solve two major engineering problems. The first one addresses the safe design of underground excavations in fractured rock masses. The implemented method was used to control the slip of discontinuities pas...

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Main Authors: George Xiroudakis, George Saratsis, Ilias Lazos
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Geosciences
Subjects:
Online Access:https://www.mdpi.com/2076-3263/13/9/272
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author George Xiroudakis
George Saratsis
Ilias Lazos
author_facet George Xiroudakis
George Saratsis
Ilias Lazos
author_sort George Xiroudakis
collection DOAJ
description This paper uses the displacement discontinuity method, one of the boundary element methods, to solve two major engineering problems. The first one addresses the safe design of underground excavations in fractured rock masses. The implemented method was used to control the slip of discontinuities passing through a circular opening at 45°. Special contact elements were used to simulate a possible slip on the cracks. At the same time, stress intensity factors (SIFs) were calculated using the gradient elasticity theory (special tip elements where numerical integrations are needed were excluded). The crack propagation due to shear slip occurrence was defined using the criterion of maximum tangential stress at an angle of 71° from the initial crack direction. The second one involved in the crack’s propagation was solved by applying pressure to the circular opening, while a part of it was transferred to the cracks, approximating the mechanism of hydraulic fracture. Finally, the implementation of higher elasticity elements in the cracks provided an accurate estimation of SIFs, showing an error of about 4%, as confirmed by comparisons with existing type I loading solutions.
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spelling doaj.art-2d68b61e87664935b457ed837e6e1e512023-11-19T10:54:51ZengMDPI AGGeosciences2076-32632023-09-0113927210.3390/geosciences13090272Implementation of the Displacement Discontinuity Method in Geotechnical Case StudiesGeorge Xiroudakis0George Saratsis1Ilias Lazos2School of Mineral Resource Engineering, Technical University of Crete, 73100 Chania, GreeceSchool of Mineral Resource Engineering, Technical University of Crete, 73100 Chania, GreeceSchool of Mineral Resource Engineering, Technical University of Crete, 73100 Chania, GreeceThis paper uses the displacement discontinuity method, one of the boundary element methods, to solve two major engineering problems. The first one addresses the safe design of underground excavations in fractured rock masses. The implemented method was used to control the slip of discontinuities passing through a circular opening at 45°. Special contact elements were used to simulate a possible slip on the cracks. At the same time, stress intensity factors (SIFs) were calculated using the gradient elasticity theory (special tip elements where numerical integrations are needed were excluded). The crack propagation due to shear slip occurrence was defined using the criterion of maximum tangential stress at an angle of 71° from the initial crack direction. The second one involved in the crack’s propagation was solved by applying pressure to the circular opening, while a part of it was transferred to the cracks, approximating the mechanism of hydraulic fracture. Finally, the implementation of higher elasticity elements in the cracks provided an accurate estimation of SIFs, showing an error of about 4%, as confirmed by comparisons with existing type I loading solutions.https://www.mdpi.com/2076-3263/13/9/272displacement discontinuity methodgeotechnical engineeringhydraulic fracturingfracture mechanicstress intensity factor
spellingShingle George Xiroudakis
George Saratsis
Ilias Lazos
Implementation of the Displacement Discontinuity Method in Geotechnical Case Studies
Geosciences
displacement discontinuity method
geotechnical engineering
hydraulic fracturing
fracture mechanic
stress intensity factor
title Implementation of the Displacement Discontinuity Method in Geotechnical Case Studies
title_full Implementation of the Displacement Discontinuity Method in Geotechnical Case Studies
title_fullStr Implementation of the Displacement Discontinuity Method in Geotechnical Case Studies
title_full_unstemmed Implementation of the Displacement Discontinuity Method in Geotechnical Case Studies
title_short Implementation of the Displacement Discontinuity Method in Geotechnical Case Studies
title_sort implementation of the displacement discontinuity method in geotechnical case studies
topic displacement discontinuity method
geotechnical engineering
hydraulic fracturing
fracture mechanic
stress intensity factor
url https://www.mdpi.com/2076-3263/13/9/272
work_keys_str_mv AT georgexiroudakis implementationofthedisplacementdiscontinuitymethodingeotechnicalcasestudies
AT georgesaratsis implementationofthedisplacementdiscontinuitymethodingeotechnicalcasestudies
AT iliaslazos implementationofthedisplacementdiscontinuitymethodingeotechnicalcasestudies