An assumed enhanced displacement gradient ring-element for finite deformation axisymmetric and torsional problems

✍ Scribed by C. C. Celigoj

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 177 KB
• Volume: 43
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19981230)43:8<1369::aid-nme432>3.0.co;2-m

✦ Synopsis

When analyzing axisymmetric solids under torsion the possible reduction of the problem by one dimension, say the independence of the displacement-and rotation-ÿeld of the cylindrical (angle) co-ordinate , should always be exploited. Whereas in the geometrically linear range the purely torsional problem, described by the rotational angle only, is always decoupled from the purely axisymmetric problem, 1 described by the radial and axial displacements u and v only, this is not the case in ÿnite deformation torsional problems. Thus, the ÿnite deformation axisymmetric ÿnite element with ÿve enhanced gradient parameters 2 can easily be extended to a ÿnite deformation axisymmetric and torsional ÿnite element with seven enhanced gradient parameters. Numerical results of two classical benchmarks, the in-plane torsion test 3 and the necking of a circular bar, 5; 4; 2 are presented.