Abstract
This study presents an in-depth investigation of the critical stretch based failure criterion in ordinary state-based peridynamics for both static and dynamic conditions. Seven different cases are investigated to determine the effect of the failure parameter on peridynamic forces between material points and dilatation. Based on crack opening displacement (COD) results from both peridynamics and finite element analysis, it was found that one of the seven cases provides the best agreement between the two approaches. This particular case is further investigated by considering the influence of the discretisation and the horizon sizes on COD and crack propagation speeds. Moreover, PD predictions of COD for PMMA material is analysed with the theory of dynamic fracture mechanics and compared with the fracture experiments. It is shown that the peridynamic model can correctly model, simulate and predict the behaviour of the crack under different loading conditions. Furthermore, the presented PD models capture accurate fracture phenomena, specifically the crack path, branching angles and crack propagation speeds, which are in good agreement with experimental results.
Highlights
A slight overload can induce brittle fracture when a crack initiates at the point of maximum stress and propagates
This study presents an in-depth investigation of critical stretch based failure criterion in ordinary statebased peridynamics for both static and dynamic fracture problems
Based on crack opening displacement (COD) results obtained from both peridynamics and finite element analysis under static loading conditions, it was found that one the seven cases provide the best agreement between the two different approaches
Summary
A slight overload can induce brittle fracture when a crack initiates at the point of maximum stress and propagates. There are currently various peridynamic formulations available in the literature Amongst these “Bondbased” PD has been widely used for predicting crack initiation and propagation patterns (Silling et al 2010; Ha and Bobaru 2011; Bobaru and Hu 2012; Huang et al 2015) as well as branching problems (Bobaru et al 2009; Ha and Bobaru 2010, 2011; Agwai et al 2011; Bobaru and Zhang 2015) of brittle materials, for example, PMMA, soda-lime glass and Homalite 100. PD results are presented for different dynamic loading conditions and the evaluated crack propagation speeds, crack branching patterns, and branching angles from PD model are compared with experimental results (Suzuki and Sakaue 2004).
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