Nonlinear versions of flexurally superconvergent elements
作者： Wing Kam Liu , Ted Belytschko , Jiun-Shyan Chen
DOI: 10.1016/0045-7825(88)90034-5
关键词: Cauchy stress tensor 、 Finite strain theory 、 Variational principle 、 Superconvergence 、 Mathematics 、 Geometry 、 Mathematical analysis 、 Finite element method 、 Nonlinear system 、 Beam (structure) 、 Polygon mesh
摘要: Abstract Flexurally superconvergent four-node elements, which can achieve engineering beam accuracy with a single layer of elements through the thickness beam, are generalized to nonlinear problems. The Hu-Washizu variational principal in terms first Piola-Kirchhoff stress tensor and deformation gradient is used conjunction γ-projection develop an efficient form this element. Example solutions show that while there some degradation range, performance these still permits very coarse meshes.
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