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<div class="section" id="juliafem-elasticity-solver">
<h1>JuliaFEM.elasticity_solver<a class="headerlink" href="#juliafem-elasticity-solver" title="Permalink to this headline"></a></h1>
<div class="section" id="internal">
<h2>Internal<a class="headerlink" href="#internal" title="Permalink to this headline"></a></h2>
<dl class="function">
<dt id="assemble!">
<code class="descname">assemble!</code><span class="sig-paren">(</span><em>fe</em>, <em>eldofs_</em>, <em>I</em>, <em>V</em><span class="sig-paren">)</span><a class="headerlink" href="#assemble!" title="Permalink to this definition"></a></dt>
<dd><p>Assemble global RHS to I,V ready for sparse format</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><p class="first"><strong>fe</strong> : local vector</p>
<p><strong>eldofs_</strong> : Array</p>
<blockquote>
<div><p>degrees of freedom</p>
</div></blockquote>
<p class="last"><strong>I,V</strong> : Arrays for sparse matrix</p>
</td>
</tr>
</tbody>
</table>
<p class="rubric">Notes</p>
<p>eldofs can also be node ids for convenience. In that case dimension
is calculated and eldofs are &#8220;extended&#8221; to problem dimension.</p>
</dd></dl>
<dl class="function">
<dt>
<code class="descname">assemble!</code><span class="sig-paren">(</span><em>ke</em>, <em>eldofs_</em>, <em>I</em>, <em>J</em>, <em>V</em><span class="sig-paren">)</span></dt>
<dd><p>Assemble global stiffness matrix to I,J,V ready for sparse format</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><p class="first"><strong>ke</strong> : local matrix</p>
<p><strong>eldofs_</strong> : Array</p>
<blockquote>
<div><p>degrees of freedom</p>
</div></blockquote>
<p class="last"><strong>I,J,V</strong> : Arrays for sparse matrix</p>
</td>
</tr>
</tbody>
</table>
<p class="rubric">Notes</p>
<p>eldofs can also be node ids for convenience. In that case dimension
is calculated and eldofs are &#8220;extended&#8221; to problem dimension.</p>
</dd></dl>
<dl class="function">
<dt id="calc_local_matrices!">
<code class="descname">calc_local_matrices!</code><span class="sig-paren">(</span><em>X</em>, <em>u</em>, <em>R</em>, <em>Kt</em>, <em>N</em>, <em>dNdchi</em>, <em>lambda_</em>, <em>mu_</em>, <em>ipoints</em>, <em>iweights</em><span class="sig-paren">)</span><a class="headerlink" href="#calc_local_matrices!" title="Permalink to this definition"></a></dt>
<dd><p>Calculate local tangent stiffness matrix and residual force vector R = T - F</p>
</dd></dl>
<dl class="function">
<dt id="eliminate_boundary_conditions">
<code class="descname">eliminate_boundary_conditions</code><span class="sig-paren">(</span><em>dirichletbc</em>, <em>I</em>, <em>J</em>, <em>V</em><span class="sig-paren">)</span><a class="headerlink" href="#eliminate_boundary_conditions" title="Permalink to this definition"></a></dt>
<dd><p>Eliminate Dirichlet boundary conditions from matrix</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><p class="first"><strong>dirichletbc</strong> : array [dim x nnodes]</p>
<p><strong>I, J, V</strong> : sparse matrix arrays</p>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first"><strong>I, J, V</strong> : boundary conditions removed</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Raises:</th><td class="field-body"><p class="first"><strong>Exception, if displacement boundary conditions given, i.e.</strong></p>
<p class="last"><strong>DX=2 for some node, for example.</strong></p>
</td>
</tr>
</tbody>
</table>
<p class="rubric">Notes</p>
<p>pros:
- matrix assembly remains positive definite
cons:
- maybe inefficient because of extra sparse matrix operations. (It&#8217;s hard to remove stuff from sparse matrix.)
- if u != 0 in dirichlet boundary requires extra care</p>
</dd></dl>
<dl class="function">
<dt>
<code class="descname">eliminate_boundary_conditions</code><span class="sig-paren">(</span><em>dirichletbc</em>, <em>I</em>, <em>V</em><span class="sig-paren">)</span></dt>
<dd><p>Eliminate Dirichlet boundary conditions from vector</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><p class="first"><strong>dirichletbc</strong> : array [dim x nnodes]</p>
<p><strong>I, V</strong> : sparse vector arrays</p>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first"><strong>I, V</strong> : boundary conditions removed</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Raises:</th><td class="field-body"><p class="first"><strong>Exception, if displacement boundary conditions given, i.e.</strong></p>
<p class="last"><strong>DX=2 for some node, for example.</strong></p>
</td>
</tr>
</tbody>
</table>
<p class="rubric">Notes</p>
<p>pros:
- matrix assembly remains positive definite
cons:
- maybe inefficient because of extra sparse matrix operations. (It&#8217;s hard to remove stuff from sparse matrix.)
- if u != 0 in dirichlet boundary requires extra care</p>
</dd></dl>
<dl class="function">
<dt id="interpolate{T&lt;:Real}">
<code class="descname">interpolate{T&lt;:Real}</code><span class="sig-paren">(</span><em>field::Array{T&lt;:Real</em>, <em>1}</em>, <em>basis::Function</em>, <em>ip</em><span class="sig-paren">)</span><a class="headerlink" href="#interpolate{T<:Real}" title="Permalink to this definition"></a></dt>
<dd><p>Interpolate field variable using basis functions f for point ip.
This function tries to be as general as possible and allows interpolating
lot of different fields.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><p class="first"><strong>field :: Array{Number, dim}</strong></p>
<blockquote>
<div><p>Field variable</p>
</div></blockquote>
<p><strong>basis :: Function</strong></p>
<blockquote>
<div><p>Basis functions</p>
</div></blockquote>
<p><strong>ip :: Array{Number, 1}</strong></p>
<blockquote class="last">
<div><p>Point to interpolate</p>
</div></blockquote>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="function">
<dt id="solve_elasticity_increment!">
<code class="descname">solve_elasticity_increment!</code><span class="sig-paren">(</span><em>X</em>, <em>u</em>, <em>du</em>, <em>elmap</em>, <em>nodalloads</em>, <em>dirichletbc</em>, <em>lambda</em>, <em>mu</em>, <em>N</em>, <em>dNdchi</em>, <em>ipoints</em>, <em>iweights</em><span class="sig-paren">)</span><a class="headerlink" href="#solve_elasticity_increment!" title="Permalink to this definition"></a></dt>
<dd><p>Solve one increment of elasticity problem</p>
</dd></dl>
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