disp2strain
Below is a demonstration of the features of the disp2strain function
Contents
clear; close all; clc;
Syntax
[D_out]=disp2strain(Ux, Uy, Uz, v, strain_type);
Description
Computes deformation metrics (including strains) for the meshgrid formatted displacement arrays Ux, Uy, and Uz, based on the point spacing v and strain_type requested.
Examples
n=5; r=linspace(0,1,n); v=mean(diff(r))*ones(1,3); [X1,Y1,Z1]=meshgrid(r); %Stretches l1=1.1; l2=0.7; l3=1.5; %Scale/stretch coordinates X2=X1.*l1; Y2=Y1.*l2; Z2=Z1.*l3; %Get displacements Ux=X2-X1; Uy=Y2-Y1; Uz=Z2-Z1;
Compute deformation data from displacements
% 1 = Biot (linear) strain tensor % 2 = Hencky (logarithmic/natural) strain tensor % 3 = Green-Lagrange strain tensor strain_type=1; [D_out]=disp2strain(Ux, Uy, Uz, v, strain_type)
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
ans =
0.1000 0 0
0 -0.3000 0
0 0 0.5000
D_out =
struct with fields:
F: {5×5×5 cell}
C: {5×5×5 cell}
Cp: {5×5×5 cell}
U: {5×5×5 cell}
E: {5×5×5 cell}
Emaxp: [5×5×5 double]
Emidp: [5×5×5 double]
Eminp: [5×5×5 double]
Eoct: [5×5×5 double]
Exx: [5×5×5 double]
Exy: [5×5×5 double]
Exz: [5×5×5 double]
Eyx: [5×5×5 double]
Eyy: [5×5×5 double]
Eyz: [5×5×5 double]
Ezx: [5×5×5 double]
Ezy: [5×5×5 double]
Ezz: [5×5×5 double]
cFigure; subplot(1,2,1); hold on; plot3(X1(:),Y1(:),Z1(:),'k.','MarkerSize',25); axisGeom; subplot(1,2,2); hold on; plot3(X2(:),Y2(:),Z2(:),'r.','MarkerSize',25); axisGeom; gdrawnow;
GIBBON www.gibboncode.org
Kevin Mattheus Moerman, [email protected]
GIBBON footer text
License: https://github.com/gibbonCode/GIBBON/blob/master/LICENSE
GIBBON: The Geometry and Image-based Bioengineering add-On. A toolbox for image segmentation, image-based modeling, meshing, and finite element analysis.
Copyright (C) 2006-2023 Kevin Mattheus Moerman and the GIBBON contributors
This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with this program. If not, see http://www.gnu.org/licenses/.