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📄 plot_results_tri.m

📁 FEM tools for caculation of nonlinear problems
💻 M
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function plot_results_tri ( in_data, SIGsys, resp, dof, NF, showPS) 

%=============================================================
warning off

   
   maxX = max(in_data.ND(:,2)); minX = min(in_data.ND(:,2));
   maxY = max(in_data.ND(:,3)); minY = min(in_data.ND(:,3));
   labx = (maxX / 10); laby = (maxY / 10);
   labx = max([labx laby]); laby = labx;
if 1
   if in_data.EL(1,2)==4  
       MAX_SIG = (SIGsys(1:3:length(SIGsys))+SIGsys(2:3:length(SIGsys))).*0.5 +...
           sqrt((SIGsys(1:3:length(SIGsys))-SIGsys(2:3:length(SIGsys))).^2 +...
           SIGsys(3:3:length(SIGsys)).^2.*4);
       MIN_SIG = (SIGsys(1:3:length(SIGsys))+SIGsys(2:3:length(SIGsys))).*0.5 -...
           sqrt((SIGsys(1:3:length(SIGsys))-SIGsys(2:3:length(SIGsys))).^2 +...
           SIGsys(3:3:length(SIGsys)).^2.*4);
       maxSIGmax = max(MAX_SIG); minSIGmax = min(MAX_SIG);
       maxSIGmin = max(MIN_SIG); minSIGmin = min(MIN_SIG);   
       SIG_nd = zeros(size(in_data.ND,1),1);  SIG_nd_nr = zeros(size(in_data.ND,1),1);
   end
   
   if in_data.EL(1,2)==5 | in_data.EL(1,2)==51   
       MAX_SIG = (SIGsys(1:3:end,:)+SIGsys(2:3:end,:)).*0.5 +...
           sqrt((SIGsys(1:3:end,:)-SIGsys(2:3:end,:)).^2 + SIGsys(3:3:end,:).^2.*4);
       MIN_SIG = (SIGsys(1:3:end,:)+SIGsys(2:3:end,:)).*0.5 -...
           sqrt((SIGsys(1:3:end,:)-SIGsys(2:3:end,:)).^2 + SIGsys(3:3:end,:).^2.*4);
       maxSIGmax = max(MAX_SIG); minSIGmax = min(MAX_SIG);
       maxSIGmin = max(MIN_SIG); minSIGmin = min(MIN_SIG);   
       SIG_nd = zeros(size(in_data.ND,1),1);  SIG_nd_nr = zeros(size(in_data.ND,1),1);
   end
   
   for i=1:size(in_data.EL)
       if in_data.EL(i,2)==4  
           node1 = find(in_data.ND(:,1)==in_data.EL(i,3));
           node2 = find(in_data.ND(:,1)==in_data.EL(i,4));
           node3 = find(in_data.ND(:,1)==in_data.EL(i,5));
           SIG_nd(node1,1:3) = SIG_nd(node1,1) + MAX_SIG(i)';
           SIG_nd(node2,1:3) = SIG_nd(node2,1) + MAX_SIG(i)';
           SIG_nd(node3,1:3) = SIG_nd(node3,1) + MAX_SIG(i)';
           SIG_nd_nr(node1,1:3) = SIG_nd_nr(node1,1) + [1];
           SIG_nd_nr(node2,1:3) = SIG_nd_nr(node2,1) + [1];
           SIG_nd_nr(node3,1:3) = SIG_nd_nr(node3,1) + [1];
       end
       if in_data.EL(i,2)==5   
           node1 = find(in_data.ND(:,1)==in_data.EL(i,3));
           node2 = find(in_data.ND(:,1)==in_data.EL(i,4));
           node3 = find(in_data.ND(:,1)==in_data.EL(i,5));
           node4 = find(in_data.ND(:,1)==in_data.EL(i,6));
           SIG_nd(node1,1:3) = SIG_nd(node1,1) + MAX_SIG(i,2)';
           SIG_nd(node2,1:3) = SIG_nd(node2,1) + MAX_SIG(i,3)';
           SIG_nd(node3,1:3) = SIG_nd(node3,1) + MAX_SIG(i,4)';
           SIG_nd(node4,1:3) = SIG_nd(node4,1) + MAX_SIG(i,5)';
           SIG_nd_nr(node1,1:3) = SIG_nd_nr(node1,1) + [1];
           SIG_nd_nr(node2,1:3) = SIG_nd_nr(node2,1) + [1];
           SIG_nd_nr(node3,1:3) = SIG_nd_nr(node3,1) + [1];
           SIG_nd_nr(node4,1:3) = SIG_nd_nr(node4,1) + [1];
       end
   end
   SIG_nd_max = SIG_nd./SIG_nd_nr;
   figure(NF); hold off;

   % ****************************************************************************************
   for i=1:size(in_data.EL)
       if in_data.EL(i,2)==4  
           lp=subplot(121);
           node1 = find(in_data.ND(:,1)==in_data.EL(i,3));
           node2 = find(in_data.ND(:,1)==in_data.EL(i,4));
           node3 = find(in_data.ND(:,1)==in_data.EL(i,5));
           trisurf([1 2 3],in_data.ND([node1 node2 node3],2),...
               in_data.ND([node1 node2 node3],3),SIG_nd_max([node1 node2 node3],1));
           hold on;
       end
       if in_data.EL(i,2)==5 | in_data.EL(i,2)==51
           lp=subplot(121);
           node1 = find(in_data.ND(:,1)==in_data.EL(i,3));
           node2 = find(in_data.ND(:,1)==in_data.EL(i,4));
           node3 = find(in_data.ND(:,1)==in_data.EL(i,5));
           node4 = find(in_data.ND(:,1)==in_data.EL(i,6));
           trisurf([1 2 3 4],in_data.ND([node1 node2 node3 node4],2),...
               in_data.ND([node1 node2 node3 node4],3), SIG_nd_max([node1 node2 node3 node4],1) );
           hold on;
       end
   end
   % ****************************************************************************************
   % ****************************************************************************************
   
   
   shading interp; axis equal;  colormap(hsv); lighting phong;
   axis off; colorbar('vert'); title('Stress field - MAX (tension)'); view(2); hold on
   if isfield(in_data.mater,'ex')
       axis([min(in_data.ND(:,2))  max(in_data.ND(:,2)) ...
           min(in_data.ND(:,3)) max(in_data.ND(:,3)) ...
           min(in_data.mater.rb_) max(in_data.mater.rb)  ]);
       caxis([ min(in_data.mater.rb_) max(in_data.mater.rb)  ]);
   end


   SIG_nd = zeros(size(in_data.ND,1),1);  SIG_nd_nr = zeros(size(in_data.ND,1),1);
   for i=1:size(in_data.EL)
       if in_data.EL(i,2)==4  % "4" - CST element (triangle) 
           node1 = find(in_data.ND(:,1)==in_data.EL(i,3));
           node2 = find(in_data.ND(:,1)==in_data.EL(i,4));
           node3 = find(in_data.ND(:,1)==in_data.EL(i,5));
           SIG_nd(node1,1:3) = SIG_nd(node1,1) + MIN_SIG(i)';
           SIG_nd(node2,1:3) = SIG_nd(node2,1) + MIN_SIG(i)';
           SIG_nd(node3,1:3) = SIG_nd(node3,1) + MIN_SIG(i)';
           SIG_nd_nr(node1,1:3) = SIG_nd_nr(node1,1) + [1];
           SIG_nd_nr(node2,1:3) = SIG_nd_nr(node2,1) + [1];
           SIG_nd_nr(node3,1:3) = SIG_nd_nr(node3,1) + [1];
       end
       if in_data.EL(i,2)==5 | in_data.EL(i,2)==51   
           node1 = find(in_data.ND(:,1)==in_data.EL(i,3));
           node2 = find(in_data.ND(:,1)==in_data.EL(i,4));
           node3 = find(in_data.ND(:,1)==in_data.EL(i,5));
           node4 = find(in_data.ND(:,1)==in_data.EL(i,6));
           SIG_nd(node1,1:3) = SIG_nd(node1,1) + MIN_SIG(i,2)';
           SIG_nd(node2,1:3) = SIG_nd(node2,1) + MIN_SIG(i,3)';
           SIG_nd(node3,1:3) = SIG_nd(node3,1) + MIN_SIG(i,4)';
           SIG_nd(node4,1:3) = SIG_nd(node4,1) + MIN_SIG(i,5)';
           SIG_nd_nr(node1,1:3) = SIG_nd_nr(node1,1) + [1];
           SIG_nd_nr(node2,1:3) = SIG_nd_nr(node2,1) + [1];
           SIG_nd_nr(node3,1:3) = SIG_nd_nr(node3,1) + [1];
           SIG_nd_nr(node4,1:3) = SIG_nd_nr(node4,1) + [1];
       end
   end
   SIG_nd_min = SIG_nd./SIG_nd_nr;
   figure(NF); hold on;

   % ****************************************************************************************
   for i=1:size(in_data.EL)
       if in_data.EL(i,2)==4
           rp=subplot(122);
           node1 = find(in_data.ND(:,1)==in_data.EL(i,3));
           node2 = find(in_data.ND(:,1)==in_data.EL(i,4));
           node3 = find(in_data.ND(:,1)==in_data.EL(i,5));
           trisurf([1 2 3],in_data.ND([node1 node2 node3],2),...
               in_data.ND([node1 node2 node3],3),SIG_nd_min([node1 node2 node3],1));
           hold on;
       end
       if in_data.EL(i,2)==5 | in_data.EL(i,2)==51
           rp=subplot(122);
           node1 = find(in_data.ND(:,1)==in_data.EL(i,3));
           node2 = find(in_data.ND(:,1)==in_data.EL(i,4));
           node3 = find(in_data.ND(:,1)==in_data.EL(i,5));
           node4 = find(in_data.ND(:,1)==in_data.EL(i,6));
           trisurf([1 2 3 4],in_data.ND([node1 node2 node3 node4],2),...
               in_data.ND([node1 node2 node3 node4],3), SIG_nd_min([node1 node2 node3 node4],1) );
           hold on;
       end
   end

   % ****************************************************************************************
   
   
   shading interp; axis equal;  colormap(hsv); axis off; 
   colorbar('vert'); title('Stress field - MIN (compression) '); view(2); hold on
   set(NF,'name',['  Stress Field. MAX = '  num2str(max(SIG_nd_max(:,1))) ...
      '   MIN = '  num2str(min(SIG_nd_min(:,1)))],'NumberTitle','off','position',[ 50 50 800 420 ]);
   if isfield(in_data.mater,'ex')
       axis([min(in_data.ND(:,2))  max(in_data.ND(:,2)) min(in_data.ND(:,3)) max(in_data.ND(:,3)) ...
           min(in_data.mater.rb_) max(in_data.mater.rb)  ]);
       caxis('manual');
       caxis([ min(in_data.mater.rb_) max(in_data.mater.rb)  ]);
   end


  figure(NF); hold on;

   for i=1:size(in_data.EL)
       if in_data.EL(i,2)==4  
           yy = (MAX_SIG(i) - minSIGmax)*1/(maxSIGmax - minSIGmax); 
           node1 = find(in_data.ND(:,1)==in_data.EL(i,3));
         node2 = find(in_data.ND(:,1)==in_data.EL(i,4));
         node3 = find(in_data.ND(:,1)==in_data.EL(i,5));
         Xi = [1 1 1; in_data.ND(node1,2) in_data.ND(node2,2) in_data.ND(node3,2); ...
               in_data.ND(node1,3) in_data.ND(node2,3) in_data.ND(node3,3)]*[1/3; 1/3; 1/3];
      end;
      if in_data.EL(i,2)==5 | in_data.EL(i,2)==51 
         yy = (MAX_SIG(i,1) - minSIGmax(1))*1/(maxSIGmax(1) - minSIGmax(1));
         node1 = find(in_data.ND(:,1)==in_data.EL(i,3));
         node2 = find(in_data.ND(:,1)==in_data.EL(i,4));
         node3 = find(in_data.ND(:,1)==in_data.EL(i,5));
         node4 = find(in_data.ND(:,1)==in_data.EL(i,6));
         xi = 0; niu=0;
         N1 = 1/4*(1-xi)*(1-niu); % shape function of quadrilateral 
         N2 = 1/4*(1+xi)*(1-niu); % shape function of quadrilateral 
         N3 = 1/4*(1+xi)*(1+niu); % shape function of quadrilateral 
         N4 = 1/4*(1-xi)*(1+niu); % shape function of quadrilateral
         Xi = [1; in_data.ND(node1,2)*N1 + in_data.ND(node2,2)*N2 + in_data.ND(node3,2)*N3 + in_data.ND(node4,2)*N4;...
               in_data.ND(node1,3)*N1 + in_data.ND(node2,3)*N2 + in_data.ND(node3,3)*N3 + in_data.ND(node4,3)*N4];
      end;
      
      angle_max = 0.5*atan(2*(SIGsys(i*3))/(SIGsys(i*3-2)-SIGsys(i*3-1)));
      vv = (SIGsys(i*3-2)) - (SIGsys(i*3-1));
      yi = abs(cos(angle_max)*yy*laby);
      xi = abs(sin(angle_max)*yy*labx);
      angle_max  = angle_max*360/(2*pi);     
      ANm(i) = angle_max;
      if vv>0 txy=xi*laby/labx; xi=yi*labx/laby; yi=txy; end;
      if MAX_SIG(i)>0  cv='b-'; cv='k-'; else cv='r-'; cv='k-'; end;

      % ****************************************************************************************
      if showPS(1)==1
          figure(NF); subplot(lp); hold on
          if vv<0 & angle_max>0  plot3([Xi(2)-0.5*xi Xi(2)+0.5*xi],...
                  [Xi(3)+0.5*yi Xi(3)-0.5*yi],[max(max(SIG_nd_max))+100 max(max(SIG_nd_max))+100],cv,'LineWidth',1);
          end;
          if vv<0 & angle_max<0  
              plot3([Xi(2)+0.5*xi Xi(2)-0.5*xi],...
                  [Xi(3)+0.5*yi Xi(3)-0.5*yi],[max(max(SIG_nd_max))+100 max(max(SIG_nd_max))+100],cv,'LineWidth',1); 
          end;
          if vv>0 & angle_max>0  plot3([Xi(2)+0.5*xi Xi(2)-0.5*xi],...
                  [Xi(3)+0.5*yi Xi(3)-0.5*yi],[max(max(SIG_nd_max))+100 max(max(SIG_nd_max))+100],cv,'LineWidth',1); 
          end;
          if vv>0 & angle_max<0  plot3([Xi(2)-0.5*xi Xi(2)+0.5*xi],...

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