Peridynamics
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 using a framework of the discontinuous Galerkin FEM. FEM models can be used as input for Peridynamics analysis.
- Advantage
- Model crack initiation and propagation by breaking bonds
- Capable to model complex failure modes
- Mixed modes in 3D solid
- In-plain failure, crossing lamina and delamination in laminate
- Current implementation
- Bond-based Peridynamics
- Discontinuous Galerkin FEM
- FEM model with detaching nodes as input
- Automatic conversion of material property
- From elastic modulus to bond micro modulus
- From fracture energy release rate to bond critical stretching
- 3D solid & elastic material with brittle failure
- Laminate composite
- Explicit analysis
- Limitation
- Elastic material with fixed Poisson's ratio (0.25)
- Application
- Brittle material failure, e.g. windshield impact
- Laminate failure, e.g. compression, drilling, jointing & impact
