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A third‐order triangular multilayered plate finite element with continuous interlaminar stresses
Author(s) -
Di Sciuva Marco
Publication year - 1995
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.1620380102
Subject(s) - bending of plates , finite element method , geometry , shear (geology) , plate theory , anisotropy , transverse plane , displacement (psychology) , kinematics , transverse shear , deformation (meteorology) , mathematical analysis , third order , mathematics , bending , structural engineering , materials science , physics , classical mechanics , engineering , composite material , optics , psychotherapist , philosophy , theology , psychology
Based on a refined third‐order shear deformation plate theory recently proposed by the author, a three‐node, fully conforming, multilayered anisotropic plate element of arbitrary triangular shape is developed in this paper. The element incorporates 10 nodal d.o.f., namely the two in‐plane displacements, the two shear rotations, the transverse displacement and its first and second derivatives, thus giving a total of 30 d.o.f. The formulation includes extension, bending and transverse shear deformation states; moreover, it fulfils a priori the geometric and stress continuity conditions at the interfaces, and it requires only five generalized displacements to describe the kinematics of the plate deformation. The formulated plate element is assessed for its performance comparing its predictions either with exact solutions from the plate model or with other approximate two‐dimensional solutions.