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Turco, Emilio; Caracciolo, Paolo

Elasto-plastic analysis of Kirchhoff plates by high simplicity finite elements. (English) Zbl 1007.74080

Comput. Methods Appl. Mech. Eng. 190, No. 5-7, 691-706 (2000).
Summary: We present a mixed triangular finite element named high simplicity (HS) element. The HS element is designed to analyze elasto-plastic Kirchhoff plates, and is characterized by linear assumption on displacement field which makes it rigid in bending, and by the hypothesis of constant moments on the area surrounding each node. The additional hypothesis of continuity of bending moments acting on the mesh sides allows the use of standard Hellinger-Reissner formulation. The HS element is framed within an incremental iterative algorithm of initial stress type, which uses arc-length strategy to reconstruct the whole equilibrium path. Some numerical results on plates of simple form allow to examine the element’s performance in the case of elastic-perfectly plastic behavior governed by von Mises yield criterion.

Cited in 19 Documents

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)

Keywords:

high simplicity element; linear displacement field; mixed triangular finite element; elasto-plastic Kirchhoff plates; constant moments; continuity of bending moments; Hellinger-Reissner formulation; incremental iterative algorithm; arc-length strategy; von Mises yield criterion
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References:

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