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Three-dimensional stress state during dynamic shear rupture propagation along frictional interfaces in elastic plates

Rezakhani, R. and Rubino, V. and Molinari, J.-F. and Rosakis, A. (2022) Three-dimensional stress state during dynamic shear rupture propagation along frictional interfaces in elastic plates. Mechanics of Materials, 164 . Art. No. 104098. ISSN 0167-6636. doi:10.1016/j.mechmat.2021.104098.

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The state of stress in plates, where one geometric dimensions is much smaller than the others, is often assumed to be of plane stress. This assumption is justified by the fact that the out-of-plane stress components are zero on the free-surfaces of a plate to satisfy the boundary conditions, and have little chance to develop in the bulk, due to the small thickness of the plate. At the same time, it is known that the static stress field associated with cracks approximates plane-strain conditions in the near-crack tip. However, it is not clear how the pre-existing plane-stress field of a plate is modified by a propagating dynamic shear rupture. Here we study the particle velocities and stress fields of dynamic shear ruptures in mode II propagating along the predefined frictional interface of two plates of an elastic material, loaded in compression and shear, using three-dimensional finite element modeling. The numerical simulations show the rapid development of out-of-plane stresses in the interior of the specimen, between the free surfaces. The out-of-plane normal stress is characterized by an anti-symmetric pattern with lobes of alternating polarity, in planes parallel to the free-surfaces. On the interface plane, the out-of-plane stress has a complex pattern exhibiting an initial sudden variation over the plane-stress conditions followed by crisscrossing features, behind the rupture tip. This study shows how plane-stress conditions, defining the state of stress before rupture arrival, are suddenly altered during dynamic rupture propagation. The out-of-plane stress rapidly deviates from the free-surface condition and a state of equivalent plane-strain in the stress-changes field is attained at the rupture tip, while behind the rupture tip a fully three-dimensional stress state is established. The three-dimensional finite element simulations presented here help interpret and explain previous experiments of dynamic shear ruptures by showing the complex particle velocity and stress fields in the interior of the specimen and along the interface plane, which are currently not accessible to full-field experimental measurements.

Item Type:Article
Related URLs:
URLURL TypeDescription
Rezakhani, R.0000-0002-7439-9080
Rubino, V.0000-0002-4023-8668
Rosakis, A.0000-0003-0559-0794
Additional Information:© 2021 Elsevier Ltd. Received 14 May 2021, Revised 20 August 2021, Accepted 29 September 2021, Available online 9 October 2021. V.R. and A.J.R. would like to acknowledge the support of NSF, USA (Grant EAR-2045285 and EAR-1651235), the US Geological Survey (USGS) (Grant G20AP00037), the Geomechanics and Mitigation of Geohazard (GMG) Center at Caltech, USA (Project 6.2), and the Southern California Earthquake Center (SCEC), USA. SCEC is funded by NSF, USA Cooperative Agreement EAR-1033462 and USGS, USA Cooperative Agreement G12AC20038. J.F.M and R.R. acknowledge support from EPFL, Switzerland via internal funds. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Group:Center for Geomechanics and Mitigation of Geohazards (GMG), GALCIT
Funding AgencyGrant Number
Southern California Earthquake Center (SCEC)UNSPECIFIED
École Polytechnique Fédérale de LausanneUNSPECIFIED
Subject Keywords:Dynamic shear ruptures; Friction; Finite element method
Record Number:CaltechAUTHORS:20211123-233319584
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Official Citation:R. Rezakhani, V. Rubino, J.F. Molinari, A. Rosakis, Three-dimensional stress state during dynamic shear rupture propagation along frictional interfaces in elastic plates, Mechanics of Materials, Volume 164, 2022, 104098, ISSN 0167-6636,
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:112025
Deposited By: Tony Diaz
Deposited On:24 Nov 2021 20:30
Last Modified:15 Nov 2022 15:14

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