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<div class="code python highlight-python"><div class="highlight"><pre><span class="kn">from</span> <span class="nn">dolfin</span> <span class="kn">import</span> <span class="o">*</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">sys</span>
<span class="n">sys</span><span class="o">.</span><span class="n">path</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="s">'../'</span><span class="p">)</span>
<span class="kn">import</span> <span class="nn">cell_geom</span> <span class="kn">as</span> <span class="nn">geom</span>
<span class="kn">import</span> <span class="nn">cell_material</span> <span class="kn">as</span> <span class="nn">mat</span>
<span class="kn">import</span> <span class="nn">cell_computation</span> <span class="kn">as</span> <span class="nn">comp</span>
<span class="c">## Linear Backend</span>
<span class="n">parameters</span><span class="p">[</span><span class="s">'linear_algebra_backend'</span><span class="p">]</span> <span class="o">=</span> <span class="s">'Eigen'</span>
<span class="c">## Define Geometry</span>
<span class="n">mesh</span> <span class="o">=</span> <span class="n">Mesh</span><span class="p">(</span><span class="s">r'../m_fine.xml'</span><span class="p">)</span>
<span class="n">cell</span> <span class="o">=</span> <span class="n">geom</span><span class="o">.</span><span class="n">UnitCell</span><span class="p">(</span><span class="n">mesh</span><span class="p">)</span>
<span class="c"># Add inclusion</span>
<span class="n">inc</span> <span class="o">=</span> <span class="n">geom</span><span class="o">.</span><span class="n">InclusionCircle</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="p">(</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">),</span> <span class="mf">0.25</span><span class="p">)</span>
<span class="n">inc_di</span> <span class="o">=</span> <span class="p">{</span><span class="s">'circle_inc'</span><span class="p">:</span> <span class="n">inc</span><span class="p">}</span>
<span class="n">cell</span><span class="o">.</span><span class="n">set_append_inclusion</span><span class="p">(</span><span class="n">inc_di</span><span class="p">)</span>
<span class="c">## Define Material</span>
<span class="n">E_m</span><span class="p">,</span> <span class="n">nu_m</span><span class="p">,</span> <span class="n">E_i</span><span class="p">,</span> <span class="n">nu_i</span> <span class="o">=</span> <span class="mf">10.0</span><span class="p">,</span> <span class="mf">0.3</span><span class="p">,</span> <span class="mf">1000.0</span><span class="p">,</span> <span class="mf">0.3</span>
<span class="n">mat_m</span> <span class="o">=</span> <span class="n">mat</span><span class="o">.</span><span class="n">st_venant_kirchhoff</span><span class="p">(</span><span class="n">E_m</span><span class="p">,</span> <span class="n">nu_m</span><span class="p">)</span>
<span class="n">mat_i</span> <span class="o">=</span> <span class="n">mat</span><span class="o">.</span><span class="n">st_venant_kirchhoff</span><span class="p">(</span><span class="n">E_i</span><span class="p">,</span> <span class="n">nu_i</span><span class="p">)</span>
<span class="n">mat_li</span> <span class="o">=</span> <span class="p">[</span><span class="n">mat_m</span><span class="p">,</span> <span class="n">mat_i</span><span class="p">]</span>
<span class="c">## Define Computation</span>
<span class="n">VFS</span> <span class="o">=</span> <span class="n">VectorFunctionSpace</span><span class="p">(</span><span class="n">cell</span><span class="o">.</span><span class="n">mesh</span><span class="p">,</span> <span class="s">"CG"</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span>
<span class="n">constrained_domain</span><span class="o">=</span><span class="n">geom</span><span class="o">.</span><span class="n">PeriodicBoundary_no_corner</span><span class="p">(</span><span class="mi">2</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">deform_grad_with_macro</span><span class="p">(</span><span class="n">F_bar</span><span class="p">,</span> <span class="n">w_component</span><span class="p">):</span>
<span class="k">return</span> <span class="n">F_bar</span> <span class="o">+</span> <span class="n">grad</span><span class="p">(</span><span class="n">w_component</span><span class="p">)</span>
<span class="n">w</span> <span class="o">=</span> <span class="n">Function</span><span class="p">(</span><span class="n">VFS</span><span class="p">)</span>
<span class="n">strain_space</span> <span class="o">=</span> <span class="n">TensorFunctionSpace</span><span class="p">(</span><span class="n">mesh</span><span class="p">,</span> <span class="s">'DG'</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span>
<span class="n">compute</span> <span class="o">=</span> <span class="n">comp</span><span class="o">.</span><span class="n">MicroComputation</span><span class="p">(</span><span class="n">cell</span><span class="p">,</span> <span class="n">mat_li</span><span class="p">,</span>
<span class="p">[</span><span class="n">deform_grad_with_macro</span><span class="p">],</span>
<span class="p">[</span><span class="n">strain_space</span><span class="p">])</span>
<span class="n">F_bar</span> <span class="o">=</span> <span class="p">[</span><span class="mf">0.9</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mf">1.</span><span class="p">]</span>
<span class="n">compute</span><span class="o">.</span><span class="n">input</span><span class="p">([</span><span class="n">F_bar</span><span class="p">],</span> <span class="p">[</span><span class="n">w</span><span class="p">])</span>
<span class="c"># comp.set_solver_parameters('non_lin_newton', lin_method='direct',</span>
<span class="c"># linear_solver='cholesky')</span>
<span class="n">compute</span><span class="o">.</span><span class="n">comp_fluctuation</span><span class="p">(</span><span class="n">print_progress</span><span class="o">=</span><span class="bp">True</span><span class="p">,</span> <span class="n">print_solver_info</span><span class="o">=</span><span class="bp">False</span><span class="p">)</span>
<span class="n">compute</span><span class="o">.</span><span class="n">view_fluctuation</span><span class="p">()</span>
<span class="n">delta</span> <span class="o">=</span> <span class="mf">0.01</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">10</span><span class="p">):</span>
<span class="n">F_bar</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-=</span> <span class="n">delta</span>
<span class="k">print</span> <span class="n">F_bar</span>
<span class="n">compute</span><span class="o">.</span><span class="n">input</span><span class="p">([</span><span class="n">F_bar</span><span class="p">],</span> <span class="p">[</span><span class="n">w</span><span class="p">])</span>
<span class="n">compute</span><span class="o">.</span><span class="n">comp_fluctuation</span><span class="p">(</span><span class="n">print_progress</span><span class="o">=</span><span class="bp">True</span><span class="p">,</span> <span class="n">print_solver_info</span><span class="o">=</span><span class="bp">False</span><span class="p">)</span>
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