Rotational Representation of a Plate Made of Grioli-Toupin Material

Author:

Jemielita G.1

Affiliation:

1. Warsaw University of Technology, Faculty of Civil Engineering, Institute of Structural Mechanics, Warsaw 00-637, Poland

Abstract

A solenoidal part of displacement field appearing in a plate made of material with constraints has been determined. The semi-inverse method has been applied to description. The results being obtained together with the already known biharmonic representation (Jemielita, 1992) might be useful in a new micropolar plate theory formulation.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference14 articles.

1. Boggio T. , 1903, “Sull integrazione di alcuna equationi linerari alle derivate parziale,” Annali di Matematica Pura ed Applicata, Ser. III, Vol. 8, p. 181181.

2. Dougall J. , 1904, “An Analytical Theory of the Equilibrium of an Isotropic Elastic Plate,” Transaction of the Royal Society of Edinburgh, Vol. 41, Part 1, No. 8, pp. 129–228.

3. Grioli G. , 1960, “Elasticita` asimmetrica,” Annali di Matematica Pura de Applicata, Ser. IV, Vol. 50, pp. 389–417.

4. Jemielita G. , 1992, “Biharmonic Representation in the Analysis of Plates Made of the Grioli-Toupin Material,” Journal of Theoretical and Applied Mechanics, Vol. 30, No. 1, pp. 101–107.

5. Jemielita, G., 1993, “Exact Equations Theory of Plates (in Polish),” Prace Naukowe Politechniki Warszawskiej. Budownictwo, No. 124, pp. 1–153.

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