Linear Elastic

{

    "materials": [
        {
            "id": 0,
            "type": "LinearElastic2D",
            "density": 2000,
            "youngs_modulus": 100e6,
            "poisson_ratio": 0.3
        }
    ]

}

• "id" is the material ID corresponding to a subset (or all) of the generated material points.
• "type" is either "LinearElastic2D" or "LinearElastic3D".
• "density" is material density.
• "youngs_modulus" is the constant elastic parameter Young's modulus.
• "poisson_ratio" is the constant elastic parameter Poisson's ratio.

Associated shear and pressure wave velocities are defined via the relationships given in [1].

References

[1] Al-Kafaji, I. K. J. (2013). Formulation of a Dynamic Material Point Method (MPM) for Geomechanical Problems. PhD Thesis. University of Stuttgart.