Modelling rotational failure in confined geometries using DLO

Abstract

Discontinuity layout optimisation (DLO) is a generally applicable numerical limit analysis procedure that can be used to identify critical plastic collapse mechanisms in engineering problems. Considering the modelling of in-plane failure, the authors have previously presented a formulation capable of identifying rotational failure mechanisms in non-dilating media. However, the formulation presented did not explicitly address cases involving confined geometries, where curved slip lines could potentially intersect boundaries. In this paper, methods are outlined which permit efficient modelling of such cases. Details of the kinematic and equilibrium formulations are provided, which are then verified through application to various geotechnical and structural mechanics problems. It is shown that results of high accuracy can be obtained, both in terms of the predicted collapse load and the corresponding failure mechanism.

Yield‐line Mechanisms of Endplate Connections with Eight Bolts and Circular Bolt Configurations Using DLO

“…The DLO concept was introduced to calculate plane plasticity geotechnical problems in [8][9][10][11][12][13] and was extended to 3D applications in [14,15]. The DLO was used in [16] to analyse masonry arches.…”

Bemessungsvorschlag für geschraubte, polygonale Endplatten bei runden Hohlprofilen unter Zug

“…Eine allgemeingültige Vorgehensweise stellt die Discontinuity Layout Optimization (DLO) Methode dar, welche in den vorliegenden Untersuchungen zur Bestimmung der kinematischen Versagensmechanismen verwendet wird. Die DLO-Methode wurde ursprünglich für ebene Plastizitätsprobleme in der Geotechnik entwickelt [17][18][19][20][21][22][23][24][25] und später auf 3D-Probleme erweitert [26,27]. Die DLO-Methode kann auch zur Analyse gemauerter Strukturen [28][29][30][31] und von Stahlbetonplatten [32][33][34][35] eingesetzt werden.…”

Zur Traglastberechnung geschraubter Kopfplattenverbindungen bei Hohlprofilen mittels DLO

“…It could be shown that the DLO is a suitable method for calculating such connections and that the application, compared to the FEM, is significantly simpler and conforms to the standard. Die DLO wurde ursprünglich zur Lösung von 2D-Anwendungen in der Geotechnik entwickelt [6][7][8][9][10][11]. Die Methode wurde u. a. in [12,13] auf 3D-Problemstellungen weiterentwickelt.…”