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PurposeThis paper aims to introduce a method to couple truss finite elements to the material point method (MPM). It presents modeling reinforced material using MPM and describes how to consider the bond behavior between the reinforcement and the continuum.Design/methodology/approachThe embedded approach is used for coupling reinforcement bars with continuum elements. This description is achieved by coupling continuum elements in the background mesh to the reinforcement bars, which are described using truss- finite elements. The coupling is implemented between the truss elements and the continuum elements in the background mesh through bond elements that allow for freely distributed truss elements independent of the continuum element discretization. The bond elements allow for modeling the bond behavior between the reinforcement and the continuum.FindingsThe paper introduces a novel method to include the reinforcement bars in the MPM applications. The reinforcement bars can be modeled without any constraints with a bond-slip constitutive model being considered.Originality/valueAs modeling of reinforced materials is required in a wide range of applications, a method to include the reinforcement into the MPM framework is required. The proposed approach allows for modeling reinforced material within MPM applications.

The material point method (MPM) is efficiently applied for the simulation of structures undergoing large deformations where fracture and crack initiation are expected. The eigenfracture approach is introduced in the paper at hand for the implicit MPM to model crack development and propagation in static and dynamic fracture of brittle elastic materials. Eigenfracture is an energetic fracture formulation applied in the postprocessing step of the implicit MPM, making its implementation relatively straightforward. Furthermore, the driving energy used to check crack propagation is evaluated using the representative crack elements (RCE), by which the crack is modeled as a discrete phenomenon. The RCE approach shows more realistic results compared to other split models. Additionally, the fracture description of reinforced materials within the MPM is also presented in this article by coupling truss finite elements to the MPM, considering the bond stress‐slip constitutive model. Two‐ and three‐dimensional problems in static and dynamic applications are presented to assess the efficacy of the approach.

Die Berechnung dynamischer Versagensprozesse in Tragstrukturen ist eine ingenieurtechnische Herausforderung und Triebkraft der methodischen Entwicklung. Im Beitrag werden numerische Modelle für spröden Materialbruch und die partielle Ablösung der Bewehrung bei impulsartiger Bauteilbeanspruchung behandelt. Für das Versagen in Grenzschichten werden Methoden zur Reduktion des Rechenaufwands gezeigt. Grundlegend neue Ansätze sind aus der Forschung zur Rissberechnung hervorgegangen und werden mit einigen Beispielen vorgestellt. Der vorliegende Beitrag wurde am 15. Okt. 2021 im Rahmen des 25. Dresdner Baustatik‐Seminars präsentiert.