Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/12032
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Maischak, M | - |
dc.contributor.author | Stephan, EP | - |
dc.date.accessioned | 2016-02-05T14:51:54Z | - |
dc.date.available | 2016-02-05T14:51:54Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Computational Methods in Applied Mathematics, 16(1): pp.1–16, (2015) | en_US |
dc.identifier.issn | 1609-9389 | - |
dc.identifier.uri | http://www.degruyter.com/view/j/cmam.2016.16.issue-1/cmam-2015-0021/cmam-2015-0021.xml | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/12032 | - |
dc.description.abstract | A variational inequality formulation is derived for some frictional contact problems from linear elasticity. The formulation exhibits a two-fold saddle point structure and is of dual-dual type, involving the stress tensor as primary unknown as well as the friction force on the contact surface by means of a Lagrange multiplier. The approach starts with the minimization of the conjugate elastic potential. Applying Fenchel's duality theory to this dual minimization problem, the connection to the primal minimization problem and a dual saddle point problem is achieved. The saddle point problem possesses the displacement field and the rotation tensor as further unknowns. Introducing the friction force yields the dual-dual saddle point problem. The equivalence and unique solvability of both problems is shown with the help of the variational inequality formulations corresponding to the saddle point formulations, respectively. | en_US |
dc.description.sponsorship | This work is supported by the German Research Foundation within the priority program 1180 Prediction and Manipulation of Interactions between Structure and Process. | en_US |
dc.language.iso | en | en_US |
dc.publisher | De Gruyter | en_US |
dc.subject | Contact problems | en_US |
dc.subject | Friction | en_US |
dc.subject | Fenchel duality | en_US |
dc.subject | Variational inequalities | en_US |
dc.title | Dual-dual formulation for a contact problem with friction | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1515/cmam-2015-0021 | - |
dc.relation.isPartOf | Computational Methods in Applied Mathematics | - |
pubs.publication-status | Accepted | - |
pubs.publication-status | Accepted | - |
Appears in Collections: | Dept of Mathematics Research Papers |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Fulltext.pdf | 653.04 kB | Unknown | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.