Bingham - geomechanics/mpm GitHub Wiki
{
"materials": [
{
"id": 0,
"type": "Bingham2D",
"density": 2000,
"youngs_modulus": 100e6,
"poisson_ratio": 0.3,
"tau0": 200,
"mu": 0.5,
"critical_shear_rate": 1.0,
"incompressible": false
}
]
}
"id"
is the material ID corresponding to a subset (or all) of the generated material points."type"
is either"Bingham2D"
or"Bingham3D"
."density"
is material density."youngs_modulus"
is the constant elastic parameter Young's modulus."poisson_ratio"
is the constant elastic parameter Poisson's ratio."tau0"
is the shear yield stress."mu"
is the constant plastic viscosity."critical_shear_rate"
is the critical yielding shear rate."incompressible"
flag is settrue
for incompressible materials.
Details of the constitutive equations for non-Newtonian fluids are provided in [1]. The general Bingham model is from [2].
References
[1] Reddy, J. N. (2014). An Introduction to Nonlinear Finite Element Analysis: with applications to heat transfer, fluid mechanics, and solid mechanics. OUP Oxford.
[2] Beverly, C. R. and Tanner, R. I. (1992). Numerical analysisof three-dimensional Bingham plastic flow. Journal of non-newtonian fluid mechanics 42(1-2), 85-115.