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A nonstandard approach to the micromodelling of large deformations in incompressible elastic-plastic composites

Eine nicht-klassische Methode der Mikromodellierung elastisch-plastischer Verbundwerkstoffe bei großen Formänderungen

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Summary

The aim of this paper is to present a new homogenized model of periodic composites made of incompressible elastic-plastic Prandtl-Reuss materials with isotropioc work hardening. The nonstandard method of modelling is applied. The considerations are carried out within the large deformation theory. As an example the steady simple extension of a laminate is calculated.

Übersicht

Beschrieben wird ein neues Modell der Homogenisierung von periodischen Verbundwerkstoffen aus inkompressiblem elastisch-plastischem Prandtl-Reuss-Material mit isotroper Verfestigung, wobei eine nicht-klassische Methode der Modellbildung verwendet wird. Die Betrachtungen erfolgen im Rahmen der Theorie großer Formänderungen. Als Beispiel wird eine einfache Streckung eines Schichtwerkstoffs berechnet.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics Dept. of Mathematics Computer Sciences and Mechanics, The University of Warsaw, PKiN, PL-00-901, Warszawa, Poland

    M. Wagrowska

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  1. M. Wagrowska
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Wagrowska, M. A nonstandard approach to the micromodelling of large deformations in incompressible elastic-plastic composites. Ing. arch 59, 68–77 (1989). https://doi.org/10.1007/BF00536632

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  • DOI: https://doi.org/10.1007/BF00536632

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