Summary
Failure of earth structures or laboratory specimens of soils is often characterized by the existence of bands or surfaces at which strain localizes. Numerical simulation of shear band development has attracted the attention of many research groups during past years. Here it is proposed that adaptive remeshing techniques can be applied to better simulate strain localization problems in geotechnique. The algorithm has been previously applied to compressible fluid dynamics problems to capture discontinuities such as shocks. A new refinement functional has been introduced to improve quality of produced meshes. Finally, the algorithm is applied to solve inception and development of shear bands on both homogeneous stress fields and non-homogeneous stress fields.
Übersicht
Das Versagen von Erdbauwerken oder Bodenproben im Labor ist oft durch die Existenz von Flächen mit lokalisierter Deformation gekennzeichnet. Zahlreiche Forschungsgruppen haben sich in den letzten Jahren mit der numerischen Simulation der Scherfugen-Bildung beschäftigt. Zur Verbesserung der Simulation von Scherfugen-Lokalisierung bei bodenmechanischen Problemen wird in diesem Beitrag eine adaptive Netzverfeinerung vorgeschlagen. Dieser Weg wurde schon früher in der Dynamik kompressibler Flüssigkeiten beschritten, um Unstetigkeiten wie Schockfronten zu erfassen. Als Kriterium für die Verfeinerung des Netzes wird in diesem Beitrag ein neues Funktional benutzt. Schließlich wird der Algorithmus auf den Beginn und die Weiterentwicklung von Scherfugen bei homogenen und inhomogenen Spannung zuständen angewandt.
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Pastor, M., Peraire, J. & Zienkiewicz, O.C. Adaptive remeshing for shear band localization problems. Arch. Appl. Mech. 61, 30–39 (1991). https://doi.org/10.1007/BF00788135
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DOI: https://doi.org/10.1007/BF00788135