A new finite element based on the strain approach with transverse shear effect

作者：Himeur Mohammed^*; Benmarce Abdelaziz; Guenfoud Mohamed

来源：Structural Engineering and Mechanics, 2014, 49(6): 793-810.

DOI：10.12989/sem.2014.49.6.793

• finite elements
• strain approach
• static condensation
• plate theory
• Reissner-Mindlin

This research work deals with the development of a new Triangular finite element for the linear analysis of plate bending with transverse shear effect. It is developed in perspective to building shell elements. The displacements field of the element has been developed by the use of the strain-based approach and it is based on the assumed independent functions for the various components of strain insofar as it is allowed by the compatibility equations. Its formulation uses also concepts related to the fourth fictitious node, the static condensation and analytic integration. It is based on the assumptions of tick plate's theory (Reissner-Mindlin theory). The element possesses three essential external degrees of freedom at each of the four nodes and satisfies the exact representation of the rigid body modes of displacements. As a result of this approach, a new bending plate finite element (Pep43) which is competitive, robust and efficient.

• 出版日期2014-5-25