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

✍ Scribed by C. C. Celigoj

• Publisher: John Wiley and Sons
• Year: 2001
• Tongue: English
• Weight: 256 KB
• Volume: 50
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/1097-0207(20010210)50:4<899::aid-nme58>3.0.co;2-y

✦ Synopsis

Analyzing axisymmetric solids under torsional loading the 3d(imensional) problem can always be reduced by one dimension, since the displacement ÿeld and the rotation ÿeld are independent of the cylindrical (angle) co-ordinate , respectively. For this purpose a four-node ring-element for ÿnite deformation axisymmetric and torsional problems was recently developed and is now going to be up-dated. The original assumption of the enhanced displacement gradient H = Qi ⊗ G i is expanded in two steps according to Simo, Armero and Taylor and to Glaser and Armero, respectively: ÿrstly in deÿning the additional unknowns (parameters) Qi as objects in the material conÿguration and pushing forward H by (1 + u ⊗ Grad)| ^=0 -this provides 'objectivity'-and secondly in replacing Qi ⊗ G i by Gi ⊗ Q i . Numerical results of three classical benchmarks, the in-plane torsion test, the copper rod impact and the thermomechanical localization of a rectangular strip are presented.