0001 function stress_surface=StressSurfaceCompute(m,inputs,type);
0002
0003
0004
0005
0006
0007
0008
0009
0010
0011 global cluster gridset
0012
0013
0014 elements=m.elements;
0015 grids=m.grids;
0016 materials=m.materials;
0017 loads=m.loads;
0018 gridset=m.gridset;
0019
0020
0021 [n1,n2]=GetNumberOfActiveElements(elements);
0022
0023
0024 stress_surface=zeros((n2-n1)+1,1);
0025
0026 if strcmpi(type,'2d')
0027 disp('stress_surface not computed for 2d meshes')
0028 return
0029 end
0030
0031
0032 stress_surface=struct('xx',[],'yy',[],'zz',[],'xy',[],'xz',[],'yz',[],'stress_n','stress_nn','normal_x',[],'normal_y',[],'normal_z',[],'principalvalue1',[],'principalaxis1',[],'principalvalue2',[],'principalaxis2',[],'principalvalue3',[],'principalaxis3',[],'effectivevalue',[]);
0033 stress_surface1=zeros((n2-n1)+1,6);
0034 normal1=zeros((n2-n1)+1,3);
0035 stress_n1=zeros((n2-n1)+1,3);
0036 stress_nn1=zeros((n2-n1)+1,1);
0037 A1=zeros((n2-n1)+1,1); Vx1=zeros((n2-n1)+1,1); Vy1=zeros((n2-n1)+1,1); Vz1=zeros((n2-n1)+1,1);
0038 A2=zeros((n2-n1)+1,1); Vx2=zeros((n2-n1)+1,1); Vy2=zeros((n2-n1)+1,1); Vz2=zeros((n2-n1)+1,1);
0039 A3=zeros((n2-n1)+1,1); Vx3=zeros((n2-n1)+1,1); Vy3=zeros((n2-n1)+1,1); Vz3=zeros((n2-n1)+1,1);
0040
0041
0042 for n=n1:n2,
0043 if ~isempty(elements(n).element),
0044 [stress_vector,normal]=StressSurface(elements(n).element,grids,materials,inputs);
0045
0046 if ~isnan(stress_vector)
0047 stress_matrix=[stress_vector(1) stress_vector(4) stress_vector(5)
0048 stress_vector(4) stress_vector(2) stress_vector(6)
0049 stress_vector(5) stress_vector(6) stress_vector(3)];
0050 stress_n=stress_matrix*normal;
0051 stress_nn=normal'*stress_matrix*normal;
0052
0053
0054 [directions,value]=eig(stress_matrix);
0055
0056
0057 stress_surface1(n,:)=stress_vector;
0058 stress_n1(n,:)=stress_n;
0059 stress_nn1(n)=stress_nn;
0060 normal1(n,:)=normal';
0061 A1(n,1)=value(1,1); A2(n,1)=value(2,2); A3(n,1)=value(3,3);
0062 Vx1(n,1)=directions(1,1); Vx2(n,1)=directions(1,2); Vx3(n,1)=directions(1,3);
0063 Vy1(n,1)=directions(2,1); Vy2(n,1)=directions(2,2); Vy3(n,1)=directions(2,3);
0064 Vz1(n,1)=directions(3,1); Vz2(n,1)=directions(3,2); Vz3(n,1)=directions(3,3);
0065 else
0066 stress_surface1(n,:)=NaN*ones(1,6);
0067 stress_n1(n,:)=NaN*ones(1,3);
0068 stress_nn1(n)=NaN;
0069 normal1(n,:)=NaN*ones(1,3);
0070 A1(n,1)=NaN; A2(n,1)=NaN; A3(n,1)=NaN;
0071 Vx1(n,1)=NaN; Vx2(n,1)=NaN; Vx3(n,1)=NaN;
0072 Vy1(n,1)=NaN; Vy2(n,1)=NaN; Vy3(n,1)=NaN;
0073 Vz1(n,1)=NaN; Vz2(n,1)=NaN; Vz3(n,1)=NaN;
0074 end
0075 end
0076 end
0077
0078
0079
0080
0081 stress_surface.xx=stress_surface1(:,1);
0082 stress_surface.yy=stress_surface1(:,2);
0083 stress_surface.zz=stress_surface1(:,3);
0084 stress_surface.xy=stress_surface1(:,4);
0085 stress_surface.xz=stress_surface1(:,5);
0086 stress_surface.yz=stress_surface1(:,6);
0087
0088 stress_surface.principalvalue3=A1;
0089 stress_surface.principalaxis3=[Vx1 Vy1 Vz1];
0090 stress_surface.principalvalue2=A2;
0091 stress_surface.principalaxis2=[Vx2 Vy2 Vz2];
0092 stress_surface.principalvalue1=A3;
0093 stress_surface.principalaxis1=[Vx3 Vy3 Vz3];
0094
0095 stress_surface.effectivevalue=1/sqrt(2)*sqrt(stress_surface.xx.^2+stress_surface.yy.^2+stress_surface.zz.^2+2*stress_surface.xy.^2+2*stress_surface.xz.^2+2*stress_surface.yz.^2);
0096
0097 stress_surface.normal_x=normal1(:,1);
0098 stress_surface.normal_y=normal1(:,2);
0099 stress_surface.normal_z=normal1(:,3);
0100 stress_surface.stress_n=stress_n1;
0101 stress_surface.stress_nn=stress_nn1;