Modelling of Granular Fracture in Polycrystalline Materials Using Ordinary State-Based Peridynamics
Open Access
Abstract
An ordinary state-based peridynamic formulation is developed to analyse cubic polycrystalline materials for the first time in the literature. This new approach has the advantage that no constraint condition is imposed on material constants as opposed to bond-based peridynamic theory. The formulation is validated by first considering static analyses and comparing the displacement fields obtained from the finite element method and ordinary state-based peridynamics. Then, dynamic analysis is performed to investigate the effect of grain boundary strength, crystal size, and discretization size on fracture behaviour and fracture morphology.Keywords
This publication has 44 references indexed in Scilit:
- A three-dimensional cohesive-frictional grain-boundary micromechanical model for intergranular degradation and failure in polycrystalline materialsComputer Methods in Applied Mechanics and Engineering, 2013
- A three-dimensional grain boundary formulation for microstructural modeling of polycrystalline materialsComputational Materials Science, 2013
- 3-D growth of a short fatigue crack within a polycrystalline microstructure studied using combined diffraction and phase-contrast X-ray tomographyActa Materialia, 2011
- Computational micromechanics of dynamic compressive loading of a brittle polycrystalline material using a distribution of grain boundary propertiesJournal of the Mechanics and Physics of Solids, 2008
- A boundary cohesive grain element formulation for modelling intergranular microfracture in polycrystalline brittle materialsInternational Journal for Numerical Methods in Engineering, 2006
- A meshless grain element for micromechanical analysis with crystal plasticityInternational Journal for Numerical Methods in Engineering, 2006
- Grain-Boundary Physics in PolycrystallineRevisited: Experiment and TheoryPhysical Review Letters, 2006
- Brittle fracture in polycrystalline microstructures with the extended finite element methodInternational Journal for Numerical Methods in Engineering, 2003
- Reformulation of elasticity theory for discontinuities and long-range forcesJournal of the Mechanics and Physics of Solids, 2000
- X-ray studies of polycrystalline metals deformed by rolling. III. The physical interpretation of the experimental resultsActa Crystallographica, 1954