A contact domain method for large deformation frictional contact problems. Part 1: Theoretical basis
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Document typeArticle
Defense date2009-03
Rights accessRestricted access - publisher's policy
Abstract
In the first part of this work, the theoretical basis of a frictional contact domain method for two-dimensional large deformation problems is presented. Most of the existing contact formulations impose the
contact constraints on the boundary of one of the contacting bodies, which necessitates the projection of certain quantities from one contacting surface onto the other. In this work, the contact constraints are formulated on a so-called contact domain, which has the same dimension as the contacting bodies. This contact domain can be interpreted as a fictive intermediate region connecting the potential contact
surfaces of the deformable bodies. The introduced contact domain is subdivided into a non-overlapping set of patches and is endowed with a displacement field, interpolated from the displacements at the contact surfaces. This leads to a contact formulation that is based on dimensionless, strain-like measures for the normal and tangential gaps and that exactly passes the contact patch test. In addition, the contact
constraints are enforced using a stabilized Lagrange multiplier formulation based on an interior penalty method (Nitsche method). This allows the condensation of the introduced Lagrange multipliers and leads
to a purely displacement driven problem. An active set strategy, based on the concept of effective gaps as entities suitable for smooth extrapolation, is used for determining the active normal stick and slip
patches of the contact domain.
Description
Continua a l'article "A contact domain method for large deformation frictional contact problems. Part 2: Numerical aspects" publicat a la revista "Computer methods in applied mechanics and engineering", 2009, vol. 198, p. 2607-2631.
CitationOliver, J. [et al.]. A contact domain method for large deformation frictional contact problems. Part 1: Theoretical basis. "Computer methods in applied mechanics and engineering", Març 2009, vol. 198, p. 2591-2606.
ISSN0045-7825
Collections
- (MC)2 - Grup de Mecànica Computacional en Medis Continus - Articles de revista [191]
- Departament de Resistència dels Materials i Estructures en Enginyeria (fins octubre 2015) - Articles de revista [286]
- LITEM - Laboratori per a la Innovació Tecnològica d'Estructures i Materials - Articles de revista [64]
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