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Article
A Mixed Finite Element for Plate Bending with Eight Enhanced Strain Modes
Communications in Numerical Methods in Engineering (2001)
  • Reinhard E. Piltner
  • Deepu S. Joseph, University of Nebraska-Lincoln
Abstract
A low-order thick and thin plate bending element is derived using bilinear approximations for the transverse deflection, the two rotations and the thickness change. The stress–strain relationships from three-dimensional elasticity are used without any modifications. In order to avoid locking and to improve the accuracy of the results eight enhanced strain modes are used. For an efficient implementation of the mixed element, orthogonal stress and strain functions are utilized. Although the element is a low-order finite element the numerical results for a series of standard test problems are excellent.
Keywords
  • Mixed Enhanced Plate Bending Finite Element,
  • Stress–strain Relationships,
  • Shear Locking
Disciplines
Publication Date
July, 2001
DOI
10.1002/cnm.416
Citation Information
Reinhard E. Piltner and Deepu S. Joseph. "A Mixed Finite Element for Plate Bending with Eight Enhanced Strain Modes" Communications in Numerical Methods in Engineering Vol. 17 Iss. 7 (2001) p. 443 - 411 ISSN: 2040-7947
Available at: http://works.bepress.com/reinhard_piltner/44/