Uniform Rectangular Grid

The Uniform Rectangular Grid mesh part type (implemented as StructuredRectangular3D in the code) creates a three-dimensional rectangular grid mesh with uniform spacing in each direction. It is one of the most commonly used mesh types for creating simple rectangular domains with regular spacing.

Parameters

Parameter Name	Description
X Min	Minimum X coordinate (float)
X Max	Maximum X coordinate (float)
Y Min	Minimum Y coordinate (float)
Y Max	Maximum Y coordinate (float)
Z Min	Minimum Z coordinate (float)
Z Max	Maximum Z coordinate (float)
Nx Cells	Number of cells in X direction (integer)
Ny Cells	Number of cells in Y direction (integer)
Nz Cells	Number of cells in Z direction (integer)

All parameters are required.

Compatible Elements

This mesh part type is compatible with the following elements:

• stdBrick

• bbarBrick

• SSPbrick

• PML3D

Usage Example

The following example demonstrates how to create a simple 3D rectangular domain using the Uniform Rectangular Grid mesh part type:

import femora as fm

# Create a Femora instance


# Create a material
material = fm.material.create_material(
    material_category="nDMaterial",
    material_type="ElasticIsotropic",
    user_name="Soil",
    E=30e3,
    nu=0.3,
    rho=1.8e-9
)

# Create an element using this material
element = fm.element.create_element(
    element_type="stdBrick",
    ndof=3,
    material=material,
    b1=0,
    b2=0,
    b3=-9.81*1.8e-9
)

# Create a region with damping
damping = fm.damping.create_damping("frequency rayleigh", dampingFactor=0.05, f1=1, f2=10)
region = fm.region.create_region("elementRegion", damping=damping)

# Create the uniform rectangular grid mesh part
fm.meshPart.create_mesh_part(
    "Volume mesh",
    "Uniform Rectangular Grid",
    user_name="SoilBlock",
    element=element,
    region=region,
    **{
        'X Min': -50, 'X Max': 50,
        'Y Min': -50, 'Y Max': 50,
        'Z Min': -20, 'Z Max': 0,
        'Nx Cells': 10, 'Ny Cells': 10, 'Nz Cells': 5
    }
)

Notes

• Used for creating regular 3D meshes with equal spacing in each direction

• Suitable for simple geometries where uniform mesh density is desired

• Efficient for problems requiring regular grid structures

• Consider mesh density requirements for accuracy (number of cells in each direction)

• The same element type and material will be applied to all cells in the mesh