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Application of piece-wise linear weight functions for 2D 8-node quadrilateral element in contact problems
Luleå tekniska universitet.
Luleå tekniska universitet.
2004 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 61, no 2, p. 159-188Article in journal (Refereed) Published
Abstract [en]

The present study is a continuation of our previous work with the aim to reduce problems caused by standard higher order elements in contact problems. The difficulties can be attributed to the inherent property of the Galerkin method which gives uneven distributions of nodal forces resulting in oscillating contact pressures. The proposed remedy is use of piece-wise linear weight functions. The methods to establish stiffness and/or mass matrix for 8-node quadrilateral element in 2D are presented, i.e. the condensing and direct procedures. The energy and nodal displacement error norms are also checked to establish the convergence ratio. Interpretation of calculated contact pressures is discussed. Two new 2D 8-node quadrilateral elements, QUAD8C and QUAD8D, are derived and tested in many examples, which show their good performance in contact problems.

Place, publisher, year, edition, pages
2004. Vol. 61, no 2, p. 159-188
National Category
Infrastructure Engineering
Research subject
Structural Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-14314DOI: 10.1002/nme.927Scopus ID: 2-s2.0-4444298203Local ID: daa12220-548c-11dc-8e15-000ea68e967bOAI: oai:DiVA.org:ltu-14314DiVA, id: diva2:987269
Note
Validerad; 2004; 20070827 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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