Summary
A broad theoretical investigation of plasticity in crystalline solids at finite deformation is presented, with primary attention focused upon single crystals and aggregates at large pressure. Nonlinear elastic and nonlinear plastic constitutive relations for cubic crystals undergoing quasistatic deformation processes are studied. An aggregate model is introduced which enables transition to macroscopic behavior, including a prediction of pressure-dependence of yield surfaces in macro-stress space.
Zusammenfassung
Die Plastizität kristalliner Festkörper bei endlicher Verformung wird einer breit angelegten theoretischen Untersuchung unterzogen, unter Betonung der Einzelkristalle und Vielkristalle bei hohem Druck. Es werden nichtlinear elastische und nichtlineare plastische konstitutive Beziehungen für kubische Kristalle unter quasistatischer Verformung aufgestellt. Ein Vielkristall-Modell wird eingeführt, das den Übergang zu makroskopischem Verhalten ermöglicht, einschliesslich der Vorhersage der Druckabhängigkeit der Fliessflächen im Makro-Spannungsraum.
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Havner, K.S. Aspects of theoretical plasticity at finite deformation and large pressure. Journal of Applied Mathematics and Physics (ZAMP) 25, 765–781 (1974). https://doi.org/10.1007/BF01590262
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DOI: https://doi.org/10.1007/BF01590262