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A Mixed Triangular Element For The Elasto-Plastic Analysis Of Kirchhoff Plates

Paola Caracciolo,Emilio Turco-1998-01-01
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TL;DRAbstract

A triangular mixed finite element model for the elasto-plastic analysis of Kirchhoff plates is presented. The proposed discretization is based on rigid in bending elements connected by means of rotational springs between the inter-element sides and constant bending moments on the influence area of each node. The continuity of the normal bending moment through the sides allows a standard Hellinger-Reissner formulation. The advantages are related to a reasonable accuracy and a very simple element algebra. Some numerical results, obtained by using extremal path theory and the arc-length strategy, allow an analysis of the element's performance in the evaluation of the collapse load.

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A triangular mixed finite element model for the elasto-plastic analysis of Kirchhoff plates is presented. The proposed discretization is based on rigid in bending elements connected by means of rotational springs between the inter-element sides and constant bending moments on the influence area of each node. The continuity of the normal bending moment through the sides allows a standard Hellinger-Reissner formulation. The advantages are related to a reasonable accuracy and a very simple element algebra. Some numerical results, obtained by using extremal path theory and the arc-length strategy, allow an analysis of the element's performance in the evaluation of the collapse load.

Keywords

Bending momentFinite element methodMathematicsDiscretizationBendingMathematical analysisGeometryMoment (physics)

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