A locking-free meshfree method for the simulation of shear-deformable plates based on a mixed variational formulation

Autor: Jack Hale, P.M. Baiz
Přispěvatelé: Imperial College London/EPSRC [sponsor]
Rok vydání: 2012
Předmět:
Mathematical optimization
Dirichlet
Mindlin plates
Meshless
Computational Mechanics
General Physics and Astronomy
Basis function
Mesh-free method
Finite Element
Maximum entropy principle
Dirichlet distribution
Mathematics::Numerical Analysis
Multidisciplinaire
généralités & autres [C99] [Ingénierie
informatique & technologie]
symbols.namesake
Shear-locking
Mixed variational formulation
Maximum entropy methods
Meshfree methods
Applied mathematics
Boundary value problem
Bench-mark problems
Moving least squares
Mathematics
Diffuse element method
Meshfree
LEC
Mechanical Engineering
Principle of maximum entropy
Multidisciplinary
general & others [C99] [Engineering
computing & technology]
Reissner-Mindlin plates
Finite element method
Computer Science Applications
Benchmarking
Mechanics of Materials
Maximum-entropy
symbols
Locking-free
Basis functions
Zdroj: Computer Methods in Applied Mechanics and Engineering. :311-322
ISSN: 0045-7825
DOI: 10.1016/j.cma.2012.06.010
Popis: The problem of shear-locking in the thin-plate limit is a well known issue that must be overcome when discretising the Reissner–Mindlin plate equations. In this paper we present a shear-locking-free method utilising meshfree maximum-entropy basis functions and rotated Raviart–Thomas-Nedelec elements within a mixed variational formulation. The formulation draws upon well known techniques in the finite element literature. Due to the inherent properties of the maximum-entropy basis functions our method allows for the direct imposition of Dirichlet (essential) boundary conditions, in contrast to methods based on moving least squares basis functions. We present benchmark problems that demonstrate the accuracy and performance of the proposed method.
Databáze: OpenAIRE
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