An eighteen-node solid element for thin shell analysis. (English) Zbl 0635.73075
Summary: An eighteen-node, three-dimensional, solid element with 54 degrees of freedom is presented for the finite element analysis of thin plates and shells. The element is based on the Hellinger-Reissner principle with independent strain. The assumed independent strain is divided into higher and lower terms. The stiffness matrix associated with the higher order independent strain plays the role of stabilization matrix. A modified stress-strain relation decoupling inplane and normal strain is used to incorporate thin shell behaviour. Numerical results demonstrate that, with a properly chosen set of assumed strain, this element is effectively free of locking even for very thin plates and shells.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74K20 | Plates |
| 74K15 | Membranes |
Keywords:
eighteen-node; three-dimensional; 54 degrees of freedom; thin plates; Hellinger-Reissner principle; stiffness matrix; higher order independent strain; stabilization matrix; modified stress-strain relation; decoupling inplane; normal strainCitations:
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