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Finite element analysis of elastic contact problems using differential displacements
Author(s) -
Wilson E. A.,
Parsons B.
Publication year - 1970
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620020307
Subject(s) - finite element method , rotational symmetry , statically indeterminate , differential (mechanical device) , indeterminate , mixed finite element method , contact force , contact mechanics , mathematics , elasticity (physics) , mathematical analysis , structural engineering , mechanics , geometry , classical mechanics , engineering , physics , pure mathematics , aerospace engineering , thermodynamics
A technique of differential displacements is presented whereby problems involving elastic contact are solved by the finite element method. The technique is applied to axisymmetric situations in which statically indeterminate conditions occur and is shown to provide a means for resolving these conditions in terms of contact stresses. Three typical engineering problems are analysed to demonstrate the technique in cases where body forces, thermal gradients and external applied forces are acting.