MPM Region and Hole Commands

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In MPM, the most common way to discretize an object is to add material points to the background grid using Region commands and to designate regions of the grid has having no material points using Hole commands. Enclosed in these commands are various shape commands to define the object. An alternative and powerful option for discretizing an object is to create material points automatically from an image of the object.

Region Commands

Once the background grid is created, material points are added to the grid using a series of Region commands (or <Body> commands in XML files). In scripted files, the Region command defines material type, initial velocity, thickness (in 2D), and optionally an initial angle (for some anisotropic materials), temperature, and concentration. The command is

Region (matid),(velx),(vely),(velz) or (thick),<(property),(value)>...
  (any number of shape commands)
EndRegion

In XML files, regions are defined using <Body> elements and optional one PointList element. All these element must be withinthe single MaterialPoints element in the input file:

<MaterialPoints>
  <PointList>
    (see help on creating individual material points)
  </PointList>
 
  <Body mat='(matid)' vx='(velx)' vy='(vely)' vz='(velz)' thick='(thick)'
                              angle='(angle)' temp='(temp)' conc='(conc)'>
    (any number of shape commands)     
  </Body>

  ....
</MaterialPoints>

where

  • (matid) is the material ID for a previously defined material.
  • (velx), (vely), and (velz) are the components of the initial velocity for for all particles in the region (velx is only used for 3D simulations). The units or mm/sec
  • (thick) is the thickness of each material point in mm. The thickness is only used for planar 2D calculations. In scripted files, the thickness parameter should still be provided for parameter alignment, although its value is ignored.

After the above required parameters, you can provide one to three optional parameters to set initial conditions for all particles in the region. In scripted files, the optional parameters appear in pairs. The first item in the pair, or (property), is the name of initial property to set and the second item, or (value), is the initial value for the property. In XML files, the optional parameters are three optional attributes:

  • angle,(angle) to set the initial rotation angle for the material axes about the z axis. The units are degrees. This parameter is sufficient for 2D analysis with constant material angle. See help on setting material angles for methods to set variable angles or to set more than on rotation angle in 3D calculations.
  • temp,(temp) to set the initial particle temperature. The units are degrees.
  • conc,(conc) to set the initial particle concentration. The units concentration potential from 0 to 1.

Between the Region command and the subsequent EndRegion command (or within the <Body> block), there can be any number of Rect, Oval, and PolyPt commands to define the geometry whose elements will use this region's material properties.

Hole Commands

Once the mesh is ready to use shapes, elements within shapes can be removed with a series of Hole commands (or <Hole> commands in XML files). In scripted files, the Hole command is:

Hole
  (any number of shape commands)
EndHole

In XML files, the <Body> block is:

<Hole>
  (any number of shape commands)    
</Hole>

Between the Hole command and the subsequent EndHole command (or within the <Hole> block), there can be any number of Rect, Oval, and PolyPt commands to define the geometry whose elements should be removed.

Rect Command

A scripted Rect command defines a region to be assigned element materials or to be defined as a hole:

Rect (xmin),(xmax),(ymin),(ymax)

In XML files, the command is:

<Rect xmin='(xmin)' xmax='(xmax)' ymin='(ymin)' ymax='(ymax)'/>

where

  • (xmin),(xmax),(ymin), and (ymax) are the x and y extents of the rectangle (or R and Z extents if axisymmetric). If xmax<xmin or ymax<ymin, they will be automatically switched to define the rectangle. The units are mm (or determined by a units attribute in XML files).

If the defined rectangle overlaps areas that already has assigned elements, or has been defined as a hole, those areas will be ignored.

Oval Command

A scripted Oval command defines a region to be assigned element materials or to be defined as a hole:

Oval (xmin),(xmax),(ymin),(ymax)

In XML files, the command is:

<Oval xmin='(xmin)' xmax='(xmax)' ymin='(ymin)' ymax='(ymax)'/>

where

  • (xmin),(xmax),(ymin), and (ymax) are the x and y extents of the rectangle (or R and Z extents if axisymmetric) that encloses the oval. If xmax<xmin or ymax<ymin, they will be automatically switched to define the oval. The units are mm (or determined by a units attribute in XML files).

If the defined oval overlaps areas that already has assigned elements, or has been defined as a hole, those areas will be ignored.

PolyPt Command

In scripted files, a series of PolyPt commands is used to define a polygonal region to be assigned element materials, or to be defined as a hole:

PolyPt (x1),(y1)
PolyPt (x2),(y2)
  ...
PolyPt (xn),(yn)
PolyPt

In XML files, a polygon is defined with a <Polygon> block:

<Polygon>  
  <pt x='(x1)' y='(y1)'/>  
  <pt x='(x2)' y='(x2)'/>
    ...
  <pt x='(xn)' y='(yn)'/>
</Polygon>

where

  • (xi),(yi) (for i = 1 to n) are the x and y coordinates of the each point in the polygon (or R and Z if axisymmetric) with the last point (xn),(yn)) being connected to the first ((x1),(y1)). If the PolyPt arguments are omitted, the polygon is closed. The units are mm (or determined by a units attribute in XML files).

A blank PolyPt command in scripted files is only needed if you need to define more than one polygon in the same region. The blank command will finish the current one and the next one will start with the next PolyPt command. Intervening Rect and Oval commands or the end of a block will also stop the current polygon; in these cases the blank PolyPt is not needed.