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On yielding of oriented solids

Zum Fließen von orientierten Festkörpern

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Summary

Yielding and failure of oriented solids is studied within the framework of tensor representations. Transversely isotropic materials are considered. Using the information available regarding the tensor generators and the set of independent stress and mixed stress-material orientation invariants the general form of constitutive relation for incipient plastic motion of transversely isotropic solid is given and the yield condition is discussed. Specific forms of yield criteria for cohesive materials as well as for materials with internal friction are developed and compared with experimental information. A novel approach to flow and failure of oriented solid is thus explained on example of stratified material, starting with experimental motivation, passing through theoretical development and terminating on comparisons with experiments.

Zusammenfassung

Das Fließen und Versagen von orientierten Festkörpern wird mittels der Tensorfunktionsdarstellung untersucht. Transversal isotrope Materialien werden betrachtet. Mit Hilfe der verfügbaren Information, die die Tensorerzeugenden und die Menge der unabhängigen Spannungs- und gemischten Spannungs-Material-Orientierungsinvarianten betrifft, wird die allgemeine Form der Materialbeziehungen für beginnende plastische Bewegung von transversal isotropen Festkörpern angegeben und die Fließbedingung diskutiert. Bestimmte Formen von Fließkriterien für kohäsive Materialien, sowie für Materialien mit innerer Reibung werden entwickelt und mit experimentellen Ergebnissen verglichen. Eine neuartige Näherung für das Fließen und Versagen von orientierten Festkörpern wird am Beispiel eines geschichteten Materials erklärt. Ausgehend von der experimentellen Motivation wird die theoretische Entwicklung dargelegt und abschließend werden Vergleiche mit Versuchen angegeben.

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Authors and Affiliations

  1. Institut de Mécanique, Grenoble, France

    J. P. Boehler & A. Sawczuk

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  1. J. P. Boehler
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  2. A. Sawczuk
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With 11 Figures

Institute of Fundamental Technological Research, Warsaw, Poland

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Boehler, J.P., Sawczuk, A. On yielding of oriented solids. Acta Mechanica 27, 185–204 (1977). https://doi.org/10.1007/BF01180085

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