In continuum mechanics, the internal force is determined by the local deformation gradient and corresponding constitutive material model, while, in Peridynamics, it is replaced by an integral form with a set of non-local bond forces within a horizon. [Silling 2000] This makes Peridynamics very suitable in material failure analysis. The bond-based Peridynamics was implemented in LS-DYNA [1,2] using a framework of the discontinuous Galerkin FEM. FEM models can be used as input for Peridynamics analysis.
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Advantage
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Model crack initiation and propagation by breaking bonds
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Capable to model complex failure modes
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Mixed modes in 3D solid
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In-plain failure, crossing lamina and delamination in laminate
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Current implementation [kw][ex]
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Bond-based Peridynamics
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Discontinuous Galerkin FEM [1]
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FEM model with detaching nodes as input​
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Bonds defined between integration (stress) points
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Automatic conversion​ of material property [2]
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From elastic modulus to bond micro modulus
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From fracture energy release rate to bond critical stretching
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3D solid & elastic material with brittle failure [kw]
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Explicit analysis
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Limitation
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Elastic material with fixed Poisson's ratio (0.25)
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Keyword
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Application​​​
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Brittle material failure, e.g. windshield impact
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Laminate failure, e.g. compression, drilling, jointing & impact
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Discontinuous Galerkin: FEM model with detaching nodes
Inner-/inter-layer bonds with uniform mesh for laminate
Non-local horizon & bond force