Summary
The paper presents some analytical kinematic solutions of limit analysis problems in geotechnics and related fields that have been recently obtained at the University of Minnesota. Emphasis is placed on steady and pseudo-steady flow problems that may model certain processes, and on the implications of yield condition nonlinearity. The examples pertain to plane-strain, axisymmetric and general three-dimensional problems. Also, the possible extension of the kinematic method of limit analysis on hardening incompressible and contracting/dilating materials is discussed. Finally, a simple periodic shear band formation process is analyzed.
übersicht
Der Beitrag stellt einige analytische kinematische Lösungen von Traglastproblemen in der Geotechnik und verwandten Gebieten vor, die jüngst an der UniversitÄt von Minnesota erarbeitet wurden. Der Akzent liegt bei Problemen mit stetigem und pseudo-stetigem plastischem Flie\en und den Folgen einer NichtlinearitÄt der Flie\bedingung. Die Beispiele betreffen ebene FormÄnderung sowie axialsymmetrische und allgemein dreidimensionale Aufgabenstellungen. Darüber hinaus wird die mögliche Erweiterung der kinematischen Methode der Traglastverfahren auf verfestigende Werkstoffe mit oder ohne VolumenÄnderung erörtert. Zum Abschlu\ wird eine einfache periodische Bildung von ScherbÄndern untersucht.
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Drescher, A. Analytical methods in limit analysis. Ing. arch 59, 138–147 (1989). https://doi.org/10.1007/BF00538367
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DOI: https://doi.org/10.1007/BF00538367