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.

  • 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 [kw][ex]

    • Bond-based Peridynamics

    • Discontinuous Galerkin FEM [1]

      • FEM model with detaching nodes as input​

      • Bonds defined between integration (stress) points

    • Automatic conversion​ of material property [2]

      • From elastic modulus to bond micro modulus

      • From fracture energy release rate to bond critical stretching

    • 3D solid & elastic material with brittle failure [kw]

    • Laminate composite [3,4][kw]

    • Explicit analysis

  • Limitation

    • Elastic material with fixed Poisson's ratio (0.25)

  • Keyword

    • *SECTION_SOLID_PERI​

    • Specific keywords for 3D solid

      • *MAT_ELASTIC_PERI [5]

      • *CONTACT_FEM_PERI_TIE [6][ex]

    • Specific keywords for laminate

      • *MAT_ELASTIC_PERI_LAMINATE [7]

      • *SET_PERI_LAMINATE [8]

      • *ELEMENT_SOLID_PERI [9]

  • Application​​​

    • Brittle material failure, e.g. windshield impact

    • Laminate failure, e.g. compression, drilling, jointing & impact

Discontinuous Galerkin: FEM model with detaching nodes

Inner-/inter-layer bonds with uniform mesh for laminate

Non-local horizon & bond force