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Implementation of curvilinear geometry into p ‐version HT plate elements
Author(s) -
Jirousek J.,
Venkatesh A.
Publication year - 1989
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.1620280212
Subject(s) - curvilinear coordinates , geometry , limit (mathematics) , bending , mathematics , mathematical analysis , structural engineering , engineering
The formulation of the recently presented hybrid‐Trefftz (HT) p ‐version elements 1 has thus far been restricted to straight‐sided polygonal elements. The present paper removes this limitation. Two alternative formulations are studied. In the first one any curvilinear geometry is represented accurately but the rigid body modes are recovered only in the limit as the p ‐refinement level is increased. In contrast, the second formulation represents the rigid modes exactly while the actual curvilinear geometry is approached with increasing accuracy as the p ‐refinement level is increased. The practical efficiency of the two alternative approaches is studied and assessed on pertinent examples of thin plates in bending.