Pseudoconsistent load vector and mass matrix for the discrete Kirchhoff triangle and the discrete shear triangle elements

✍ Scribed by Sydenstricker, R. M. ;Coutinho, A. L. G. A. ;Landau, L. ;Marques, O. A.

• Book ID: 102810307
• Publisher: John Wiley and Sons
• Year: 1995
• Tongue: English
• Weight: 572 KB
• Volume: 11
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/cnm.1640110405

✦ Synopsis

Many finite elements based on Reissner-Mindlin plate bending theory with discrete constraints have been developed in the past few years. This approach avoids the C' continuity required by the classical Kirchhoff plate theory. However, in those elements the shape functions for deflections (or their derivatives) are not integrated. Particularly in DKT (discrete Kirchhoff triangle) and in DST (discrete shear triangle) elements, the lateral deflections are defined only on the boundaries. In the paper we briefly discuss the definition of the transverse displacement for these elements, and present a simple approach to define a pseudoconsistent load vector and mass matrix.