Crack Propagation Modeling with Scaled Boundary Polygons

Ean Tat Ooi; Chong Min Song; Francis Tin-Loi

doi:10.4028/www.scientific.net/AMM.553.719

Paper Titles

Effect of Bearing Dynamic Properties on the Lateral Vibration of a Flexible Rotor
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Dynamic Analysis of Structures with Interval Parameters under Stochastic Process Excitation
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Effective Models of PZT Actuators for Numerical Simulation of Elastic Wave Propagation
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A Novel FRF-Based Damage Localisation Method Using Random Vibration
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Crack Propagation Modeling with Scaled Boundary Polygons
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Application of PDS-FEM for Simulating 3D Wing Crack Growth
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An Enriched Constitutive Model for Fracture Propagation Analysis Using the Material Point Method
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Sensitivity of Stress Intensity Factors with Respect to the Crack Geometry by the Scaled Boundary Finite Element Method
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High Velocity Impact Modelling of Sandwich Panels with Aluminium Foam Core and Aluminium Sheet Skins
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Crack Propagation Modeling with Scaled Boundary Polygons

Abstract:

Crack propagation is modelled using scaled boundary polygons. The polygons discretise the computational domain and can be of any number of sides, leading to more flexible mesh generation. The scaled boundary finite element method is used to construct shape functions of the polygon elements. These shape functions form a partition of unity and are linearly complete. They can accurately model any kind of stress singularity without local mesh refinement or asymptotic enrichment functions. The scaled boundary shape functions enable the method to be further developed to model the response of heterogeneous and nonlinear materials. As the polygons can be of any number of sides, simple re-meshing algorithms can be devised to model crack propagation. Two numerical benchmarks are modeled to illustrate the salient features of the scaled boundary polygons.