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A stabilized finite element approach to model contact conditions in fractured subsurface media
, Settgast R., Johnson S., Fu P., Herbold E.B.
Published in American Rock Mechanics Association (ARMA)
2014
Volume: 1
   
Pages: 449 - 456
Abstract
We propose a stabilized approach based on Nitsche's method for enforcing contact constraints over crack surfaces. The proposed method addresses the shortcomings of conventional penalty and augmented Lagrange multiplier approaches by combining their attractive features. Similar to an augmented Lagrange multiplier approach, the proposed method has a consistent variational basis resulting in stronger enforcement of the non-interpenetration constraint. At the same time, the proposed method is purely displacement-based and alleviates the stability challenges common to mixed methods. The method also retains the computational efficiency of penalty approaches by eliminating the outer augmentation loop necessary for augmented Lagrangian approaches and resulting in smaller system matrices. Copyright (2014) ARMA, American Rock Mechanics Association
About the journal
Journal48th US Rock Mechanics / Geomechanics Symposium 2014
PublisherAmerican Rock Mechanics Association (ARMA)
Open AccessNo