-# The first line indicates the total number of pattern nodes (N).
-# The next N lines describe nodes coordinates. Each line contains 2
-node coordinates for a 2D pattern or 3 node coordinates for a 3D pattern.
-Note, that node coordinates of a 3D pattern can be defined only by relative values in range [0;1].
+ node coordinates for a 2D pattern or 3 node coordinates for a 3D pattern.
+ Note, that node coordinates of a 3D pattern can be defined only by
+ relative values in range [0;1].
-# The key-points line contains the indices of the nodes to be mapped on geometrical
-vertices (for a 2D pattern only). Index n refers to the node described
-on the n-th line of section 2. The index of the first node zero. For a 3D pattern the key points are not specified.
+ vertices (for a 2D pattern only). Index n refers to the node described
+ on the n-th line of section 2. The index of the first node is
+ zero. For a 3D pattern the key points are not specified.
-# The remaining lines describe nodal connectivity of elements, one line
-for each element. Each line holds indices of nodes forming an element.
-Index n refers to the node described on the n-th line of section 2.
-The first node index is zero. There must be 3 or 4 indices on each
-line for a 2D pattern (only 2d elements are allowed) and 4, 5, 6 or 8
-indices for a 3D pattern (only 3d elements are allowed).
+ for each element. Each line holds indices of nodes forming an element.
+ Index n refers to the node described on the n-th line of section 2.
+ The first node index is zero. There must be 3 or 4 indices on each
+ line for a 2D pattern (only liner 2d elements are allowed) and 4, 5, 6 or 8
+ indices for a 3D pattern (only linear 3d elements are allowed).
A 2D pattern must contain at least one element and at least one
key-point. All key-points must lie on boundaries.
<ul>
<li> \b Pattern, which can be loaded from .smp pattern file previously
-created manually or generated automatically from an existing mesh or submesh.</li>
+ created manually or generated automatically from an existing mesh or
+ sub-mesh.</li>
<li> \b Face with the number of vertices equal to the number of
- key-points in the pattern; the number of key-points on internal
- boundaries of the pattern must also be equal to the number of vertices
- on internal boundaries of the face;</li>
+ key-points in the pattern; the number of key-points on internal
+ boundaries of the pattern must also be equal to the number of vertices
+ on internal boundaries of the face;</li>
<li> \b Vertex to which the first key-point should be mapped;</li>
</ul>
+
Alternatively, it is possible to select <b>Refine selected mesh elements</b>
check-box and apply the pattern to <ul>
-<li> <b>Mesh Face</b> instead of a geometric Face</li>
-<li> and select \b Node instead of vertex.</li>
+ <li> <b>Mesh Face</b> instead of a geometric Face</li>
+ <li> and select \b Node instead of vertex.</li>
</ul>
+
Additionally it is possible to: <ul>
<li> <b>Reverse the order of key-points</b>. By default, the vertices of
- a face are ordered counterclockwise.</li>
+ a face are ordered counterclockwise.</li>
<li> Enable to <b> Create polygons near boundary</b> </li>
<li> and <b>Create polyhedrons near boundary</b></li>
</ul>
In this dialog you should specify:
<ul>
<li> \b Pattern, which can be loaded from .smp pattern file previously
-created manually or generated automatically from an existing mesh or submesh.</li>
+ created manually or generated automatically from an existing mesh or
+ sub-mesh.</li>
<li> A 3D block (Solid) object.</li>
<li> Two vertices that specify the order of nodes in the resulting
mesh.</li>
</ul>
+
Alternatively, it is possible to select <b>Refine selected mesh elements</b>
-checkbox and apply the pattern to
+check-box and apply the pattern to
<ul>
-<li> One or several <b>Mesh volumes</b> instead of a geometric 3D
-object</li>
-<li> and select two /b Nodes instead of vertices.</li>
+ <li> One or several <b>Mesh volumes</b> instead of a geometric 3D object</li>
+ <li> and select two \b Nodes instead of vertices.</li>
</ul>
Additionally it is possible to:
<ul>
</ul>
<br>
-<h3> Automatic Generation </h3>
+<h3> Automatic Pattern Generation</h3>
To generate a pattern automatically from an existing mesh or sub-mesh,
click \b New button.
In this dialog you should specify:
<ul>
-<li> <b>Mesh or Submesh</b>, which is a meshed geometrical face (for a
-2D pattern) or a meshed solid (for a 3D pattern). Mesh nodes lying on
+<li> <b>Mesh or Sub-mesh</b>, which is a meshed geometrical face (for a
+2D pattern) or a meshed solid block (for a 3D pattern). Mesh nodes lying on
the face vertices become key-points of the pattern. </li>
<li> A custom <b>Pattern Name </b> </li>
<li>Additionally, for a 2D pattern you may choose to
vertices. The node position on the edge depends on its distance from the
key-points.
\image html image96.gif
-- The cordinates of a non-boundary node in the parametric space of the face
- are defined in the following way. In the parametric space of the
+- The coordinates of a non-boundary node in the parametric space of the face
+ are defined in the following way. In the parametric space of the
pattern, the node lies at the intersection of two iso-lines. Both
of them intersect the pattern boundary at two
points at least. If the mapped positions of boundary nodes are known, it is
- possible to find, where the points at the intersection of isolines
+ possible to find, where the points at the intersection of iso-lines
and boundaries are mapped. Then it is possible to find
- the direction of mapped isolinesection and, filally, the poitions of
+ the direction of mapped iso-line section and, finally, the positions of
two nodes on two mapped isolines. The eventual mapped
- position of the node is found as an average of the positions on mapped
- isolines.
+ position of the node is found as an average of the positions on mapped
+ iso-lines.
\image html image97.gif
The 3D algorithm is similar.
