NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Mixed finite element formulation for frictionless contact problemsSimple mixed finite element models and a computational procedure are presented for the solution of frictionless contact problems. The analytical formulation is based on a form of Reissner's large-rotation theory of the structure with the effect of transverse shear deformation included. The contact conditions are incorporated into the formulation by using a perturbed Lagrangian approach with the fundamental unknowns consisting of the internal forces (or stress resultants), the generalized displacements, and the Lagrange multipliers associated with the contact conditions. Numerical examples of axisymmetric deformations of a hemispherical shell and planar deformations of a circular ring are presented. Both structures are pressed against a rigid plate. Detailed information about the response of the structures is presented. The numerical studies demonstrate the high accuracy of the mixed models and the effectiveness of the computational procedure based on combining the geometrically nonlinear terms and the contact conditions in one iteration loop.
Document ID
19890045004
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Noor, Ahmed K.
(NASA Langley Research Center Hampton, VA, United States)
Kim, Kyun O.
(NASA Langley Research Center; George Washington University Hampton, VA, United States)
Date Acquired
August 14, 2013
Publication Date
February 1, 1989
Publication Information
Publication: Finite Elements in Analysis and Design
Volume: 4
ISSN: 0168-874X
Subject Category
Structural Mechanics
Accession Number
89A32375
Funding Number(s)
CONTRACT_GRANT: NAG1-252
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available