An isostatic assumed stress triangular element for the Reissner-Mindlin plate-bending problem

The paper describes a new assumed stress triangular element for Reissner–Mindlin plates, called TIP3, with three nodes and three degrees of freedom per node. The kinematics is constructed by means of the so‐called linked interpolation ruled by technically significant degrees of freedom (i.e. one tra...

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Bibliographic Details
Published in:International journal for numerical methods in engineering Vol. 74; no. 6; pp. 971 - 995
Main Author: Brasile, Sandro
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 07.05.2008
Wiley
Subjects:
Computational techniques
Drops and bubbles
Exact sciences and technology
finite elements
Fluid dynamics
Fundamental areas of phenomenology (including applications)
hybrid-mixed finite elements
linked interpolation
Mathematical methods in physics
Nonhomogeneous flows
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
stress interpolation
Structural and continuum mechanics
triangular element
Reissner Mindlin model
hybrid-mixed finite elements
Triangular plate
Polynomial approximation
Triangular finite element
Thin plate
Modeling
triangular element
Finite element method
Bubble
stress interpolation
linked interpolation
Kinematics
Hybrid finite element
Numerical convergence
finite elements
Bending test
ISSN:0029-5981, 1097-0207
Online Access:Get full text
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Summary:The paper describes a new assumed stress triangular element for Reissner–Mindlin plates, called TIP3, with three nodes and three degrees of freedom per node. The kinematics is constructed by means of the so‐called linked interpolation ruled by technically significant degrees of freedom (i.e. one transversal displacement and two rotations per node) without using additional bubble modes. The static representation starts from a moment–shear uncoupled polynomial approximation and is constrained to satisfy some equilibrium conditions in order to reduce the stress parameters to a minimum number. The resulting element is locking free, presents correct rank and passes the bending patch test even for very thin plates. The good performances of the element are demonstrated by several comparisons with other triangular plate elements available in the literature. Copyright © 2007 John Wiley & Sons, Ltd.
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ISSN:0029-5981
1097-0207
DOI:10.1002/nme.2194