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Limit analysis of plates with piecewise linear yield surface

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Sommario

Si studiano attraverso l'analisi limite le piastre costituite di materiale rigido-plastico aventi superficie di snervamento di tipo poliedrico. I principi di estremo riguardanti la valutazione della potenza specifica di dissipazione vengono definiti attraverso i concetti della programmazione lineare. Attraverso il noto teorema cinematico dell'analisi limite, si formula la legge che regola il collasso plastico delle piastre. Viene proposto un procedimento per la determinazione approssimata del carico di collasso del tutto generale. Si conclude infine con una breve indagine numerica relativa al caso di piastra quadrata con carico uniforme.

Summary

Rigid-plastic plates having a piecewise linear yield surface are studied by limit analysis. Extremum principles for the evaluation of specific dissipation power are defined by means of linear programming concepts. The law governing the plastic collapse of plates is formulated on the basis of the well-known kinematic theorem of limit analysis. A general procedure for the approximate determination of the collapse load is proposed. The paper ends with a brief numeric investigation of the uniformly loaded square plate.

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Authors and Affiliations

  1. Istituto di Scienza delle Costruzioni, Università di Bologna, Italy

    Ferdinando Laudiero

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  1. Ferdinando Laudiero
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The results presented in the paper form part of a Research supported by the National Research Council (C.N.R.).

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Laudiero, F. Limit analysis of plates with piecewise linear yield surface. Meccanica 7, 105–110 (1972). https://doi.org/10.1007/BF02129991

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  • DOI: https://doi.org/10.1007/BF02129991

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