A hybrid equilibrium element for folded plate and shell structures

SUMMARYThis paper extends hybrid equilibrium formulation concepts, previously used with success for planar problems, to the analysis of folded plates and curved shells. A 2D hybrid equilibrium flat shell quadrilateral element is formulated for linear analysis, where detailed consideration is given t...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2013-08, Vol.95 (6), p.451-477
Main Authors: Maunder, E. A. W., Izzuddin, B. A.
Format: Article
Language:English
Subjects:
Bending
Curved
curved shells
Discontinuity
Equilibrium analysis
equilibrium elements
Exact sciences and technology
folded plates
Fundamental areas of phenomenology (including applications)
linear elasticity
Mathematical analysis
Mathematics
Measure and integration
Physics
Plates (structural members)
Sciences and techniques of general use
Shells
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Three dimensional models
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Summary:SUMMARYThis paper extends hybrid equilibrium formulation concepts, previously used with success for planar problems, to the analysis of folded plates and curved shells. A 2D hybrid equilibrium flat shell quadrilateral element is formulated for linear analysis, where detailed consideration is given to the implication of slope discontinuity when the element is used for non‐planar domains. Benchmark plate bending, folded plate and curved shell problems are modelled using equilibrium and conforming elements for comparison. In models of the latter two problems, torsional moments may be released along lines of slope discontinuity, and the effects of this assumption for the folded plate are studied by analysing a third type of model composed of 3D solid brick elements. The comparisons demonstrate an excellent performance from the new hybrid equilibrium analysis method for folded plates and curved shells. Copyright © 2013 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.4507