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main_FE_GlobalDIC_v3_generalT3.m
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% ---------------------------------------------
% Finite-element-based global DIC (FE-Global-DIC)
% Author: Jin Yang, Postdoc @UW-Madison; PhD @Caltech 19';
% Contact: [email protected]; [email protected]
% 2015.04,06,07; 2016.03,04; 2020.11
% ---------------------------------------------
%% Section 1: Clear MATLAB environment & mex set up Spline interpolation
close all; clear; clc; clearvars -global
fprintf('------------ Section 1 Start ------------ \n')
setenv('MW_MINGW64_LOC','C:\TDM-GCC-64')
% % cd("./Splines_interp/lib_matlab"); CompileLib; cd("../../"); % % mex bi-cubic spline interpolations
% % addpath("./Splines_interp/lib_matlab"); % dbstop if error % % Old version codes.
mex -O ba_interp2.cpp;
addpath('./func','./src','./plotFiles/','./plotFiles/export_fig-d966721/');
% addpath("./YOUR IMAGE FOLDER");
fprintf('------------ Section 1 Done ------------ \n \n')
%% Section 2: Load DIC parameters and set up DIC parameters
fprintf('------------ Section 2 Start ------------ \n')
% ====== Read images ======
[file_name,Img,DICpara] = ReadImageQ4; close all;
% ====== Load mat file for your mesh coordinates and elements ======
% User needs to modify these lines to upload his/her own FE-mesh
load('./Images_Sample12/mesh_plate_hole_T3.mat');
DICmesh.coordinatesFEM = coordinatesFEM;
DICmesh.coordinatesFEMWorld = [coordinatesFEM(:,1),size(Img{1},2)+1-coordinatesFEM(:,2)];
DICmesh.elementsFEM = elementsFEM;
% ====== Normalize images ======
[ImgNormalized,DICpara.gridxyROIRange] = funNormalizeImg(Img,DICpara.gridxyROIRange);
fNormalized = ImgNormalized{1}; % Load the first referece image
% ====== Initialize variable storage ======
ResultDisp = cell(length(ImgNormalized)-1,1);
ResultDefGrad = cell(length(ImgNormalized)-1,1);
ResultStrainWorld = cell(length(ImgNormalized)-1,1);
ResultStressWorld = cell(length(ImgNormalized)-1,1);
ResultFEMesh = cell(ceil((length(ImgNormalized)-1)/DICpara.ImgSeqIncUnit),1); % For incremental DIC mode
ResultFEMeshEachFrame = cell(length(ImgNormalized)-1,1); % Needs future improvment: to store FE-mesh for each frame
ResultAlpha = cell(length(ImgNormalized)-1,1);
ResultNormOfW = cell(length(ImgNormalized)-1,1);
ResultTimeICGN = cell(length(ImgNormalized)-1,1);
fprintf('------------ Section 2 Done ------------ \n \n')
%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Start each frame in an image sequence
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
for ImgSeqNum = 2 : length(ImgNormalized)
disp(['Current image frame #: ', num2str(ImgSeqNum),'/',num2str(length(ImgNormalized))]);
gNormalized = ImgNormalized{ImgSeqNum}; % Load current deformed image frame
if ImgSeqNum < 7 % First 6 frames, do manual FFT-search
DICpara.NewFFTSearch = 1;
else % After first 6 frames, use data driven method to obtain the initial guess
DICpara.NewFFTSearch = 0;
end
%% Section 3: Compute an initial guess of the unknown displacement field
fprintf('\n'); fprintf('------------ Section 3 Start ------------ \n')
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% This section is to find or update an initial guess of the unknown displacements.
% The key idea is to either to use a new FFT-based cross correlation peak fitting,
% or use the results from the last frame as the new initial guess for the next frame;
% Particularly in the incremental mode DIC, the reference image can also be updated, e.g.,
% " fNormalized = ImgNormalized{ImgSeqNum-mod(ImgSeqNum-1,ImgSeqIncUnit)}; "
%
% DICpara.NewFFTSearch = 0; % If you want to apply the FFT-based cross correlation to
% compute the initial guess for each frame, please make sure that "DICpara.NewFFTSearch = 0".
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
if ImgSeqNum == 2 || DICpara.NewFFTSearch == 1 % Apply FFT-based cross correlation to compute the initial guess
% ====== Integer Search ======
[uSeedPt,vSeedPt,PhiSeedPt,tempSizeOfSearchRegion] = funIntegerSearchPt(fNormalized,gNormalized,DICpara.winstepsize,DICmesh.coordinatesFEM);
%%%%% Remove nan bad points %%%%%
[row,col] = find(isnan(uSeedPt)); rowNotNan = setdiff([1:1:size(DICmesh.coordinatesFEM,1)]',row);
F_u_interp = scatteredInterpolant(DICmesh.coordinatesFEM(rowNotNan,:),uSeedPt(rowNotNan),'linear','linear');
uSeedPt = F_u_interp(DICmesh.coordinatesFEM);
F_v_interp = scatteredInterpolant(DICmesh.coordinatesFEM(rowNotNan,:),vSeedPt(rowNotNan),'linear','linear');
vSeedPt = F_v_interp(DICmesh.coordinatesFEM);
U0 = [uSeedPt(:),vSeedPt(:)]'; U0 = U0(:);
DICpara.tempSizeOfSearchRegion = tempSizeOfSearchRegion;
%%%%% Plot initial results %%%%%
Plotdisp_showTri(U0,DICmesh.coordinatesFEM,DICmesh.elementsFEM);
% ====== Deal with incremental mode ======
fNormalizedNewIndex = ImgSeqNum-mod(ImgSeqNum-2,DICpara.ImgSeqIncUnit)-1;
if DICpara.ImgSeqIncUnit == 1, fNormalizedNewIndex = fNormalizedNewIndex-1; end
ResultFEMesh{1+floor(fNormalizedNewIndex/DICpara.ImgSeqIncUnit)} = ... % To save first mesh info
struct( 'coordinatesFEM',DICmesh.coordinatesFEM,'elementsFEM',DICmesh.elementsFEM, ...
'winsize',DICpara.winsize,'winstepsize',DICpara.winstepsize,'gridxyROIRange',DICpara.gridxyROIRange );
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
elseif mod(ImgSeqNum-2,DICpara.ImgSeqIncUnit) == 0 % To update ref image in incremental mode
fNormalizedNewIndex = ImgSeqNum-mod(ImgSeqNum-2,DICpara.ImgSeqIncUnit)-1;
if DICpara.ImgSeqIncUnit == 1, fNormalizedNewIndex = fNormalizedNewIndex-1; end
fNormalized = ImgNormalized{fNormalizedNewIndex}; % Update reference
[DICpara,DICmesh] = ReadImageRefUpdate(file_name,ImgSeqNum,ResultDisp{ImgSeqNum-2}.U,DICpara,DICmesh); % Update reference image if needed;
U0 = zeros(2*size(DICmesh.coordinatesFEM,1),1); % PlotuvInit;
ResultFEMesh{1+floor(fNormalizedNewIndex/DICpara.ImgSeqIncUnit)} = ... % To save first mesh info
struct( 'coordinatesFEM',DICmesh.coordinatesFEM,'elementsFEM',DICmesh.elementsFEM, ...
'winsize',DICpara.winsize,'winstepsize',DICpara.winstepsize,'gridxyROIRange',DICpara.gridxyROIRange );
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
else % Use the solved results from the last frame as the new initial guess
if ImgSeqNum < 7 % Import previous U for ImgSeqNum [2,6]
U0 = ResultDisp{ImgSeqNum-2}.U;
else % When ImgSeqNum > 6: POD predicts next disp U0 from previous results of (ImgSeqNum+[-5:1:-1])
nTime = 5; np = length(ResultDisp{ImgSeqNum-2}.U)/2; % "nTime" value 5 is an empirical value, can be changed.
T_data_u = zeros(nTime,np); T_data_v = zeros(nTime,np);
for tempi = 1:nTime
T_data_u(tempi,:) = ResultDisp{ImgSeqNum-(2+nTime)+tempi, 1}.U(1:2:np*2)';
T_data_v(tempi,:) = ResultDisp{ImgSeqNum-(2+nTime)+tempi, 1}.U(2:2:np*2)';
end
nB = 3; t_train = [ImgSeqNum-1-nTime:ImgSeqNum-2]'; t_pre = [ImgSeqNum-1]';
[u_pred,~,~,~] = funPOR_GPR(T_data_u,t_train,t_pre,nB);
[v_pred,~,~,~] = funPOR_GPR(T_data_v,t_train,t_pre,nB);
tempu = u_pred(1,:); tempv = v_pred(1,:);
U0 = [tempu(:),tempv(:)]'; U0 = U0(:);
% %%%%% After running the new ImgSeqNum, you can uncomment these
% %%%%% lines to compare how the initial guess has been improved.
% Plotdisp_show(U0-ResultDisp{ImgSeqNum-1}.U,DICmesh.coordinatesFEMWorld,DICmesh.elementsFEM(:,1:4));
% Plotdisp_show(ResultDisp{ImgSeqNum-2}.U-ResultDisp{ImgSeqNum-1}.U,DICmesh.coordinatesFEMWorld,DICmesh.elementsFEM(:,1:4));
end
end
% ====== Compute image gradients ======
Df = funImgGradient(fNormalized,gNormalized); % % using finite difference;
% ====== Compute f(X)-g(x+u) ======
% PlotImgDiff(x0,y0,u,v,fNormalized,gNormalized);
ResultFEMeshEachFrame{ImgSeqNum-1} = struct( 'coordinatesFEM',DICmesh.coordinatesFEM,'elementsFEM',DICmesh.elementsFEM);
fprintf('------------ Section 3 Done ------------ \n \n')
%% Section 4
fprintf('------------ Section 4 Start ------------ \n')
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Finite element based global DIC iterations
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
DICpara.tol = 1e-3; % iteration stopping threshold
DICpara.maxIter = 100; % Maximum IC-GN iterations in IC-GN iterations
DICpara.alpha = 100; % Set regularization coefficient, alpha, as 10
alphaList = DICpara.alpha;
% ====== Tune regularization coefficient ======
% If you don't know the best alpha (coefficient), please run the following
% codes to tune the best value of the coefficient of the regularizer |grad u|^2):
%
% %%%%% Uncomment the following line to tune the best value of alpha %%%%%%
% alphaList = [1e-3,1e-2,1e-1,1e0,1e1,1e2,1e3]*mean(DICpara.winstepsize);
Err1List = zeros(length(alphaList),1); Err2List=Err1List; UList = cell(length(alphaList),1); FList=UList;
% ------------------------------------------------
for alphaInd = 1:length(alphaList)
tic; alpha = alphaList(alphaInd);
% Solve displacement U with each alpha
[U, normOfW, timeICGN] = funGlobalICGNT3(DICmesh,Df,fNormalized,gNormalized,U0,alpha,DICpara.tol,DICpara.maxIter);
Plotdisp_showTri(U,DICmesh.coordinatesFEM,DICmesh.elementsFEM);
% Compute F deformation gradient with solved U
[F] = funGlobal_NodalStrainT3(DICmesh.coordinatesFEM,DICmesh.elementsFEM,U);
% Plotstrain_show(F,DICmesh.coordinatesFEM ,DICmesh.elementsFEM);
Err1List(alphaInd) = norm(U-U0,2);
Err2List(alphaInd) = norm(F,2);
end
% ====== Tune the coefficient of |grad u| regularizer ======
ErrSumList = Err1List + 1*mean(DICpara.winstepsize)*Err2List; % 10 is an empirical number
[~,indexOfalpha] = min(ErrSumList);
try
[fitobj] = fit(log10(alphaList(indexOfalpha-1:1:indexOfalpha+1))',ErrSumList(indexOfalpha-1:1:indexOfalpha+1),'poly2');
p = coeffvalues(fitobj); alpha_best = 10^(-p(2)/2/p(1));
catch
alpha_best = alphaList(indexOfalpha);
end
DICpara.alpha = alpha_best; % If you just have one item in the alphaList, this line doens't change anything.
% ====== Re-run global DIC iterations with tuned alpha_best ======
if abs(alpha_best - alpha) > abs(eps)
[U, normOfW, timeICGN] = funGlobalICGNT3(DICmesh,Df,fNormalized,gNormalized,U0,alpha_best,DICpara.tol,DICpara.maxIter);
[F] = funGlobal_NodalStrainT3(DICmesh.coordinatesFEM,DICmesh.elementsFEM,U);
end
% ------- Smooth strain field --------
DICpara.DispFilterSize = 1e-4; DICpara.DispFilterStd=0;
DICpara.StrainFilterSize = 1e-4; DICpara.StrainFilterStd=0;
% F = funSmoothStrain(F,DICmesh,DICpara);
% ------- Save data -------
ResultDisp{ImgSeqNum-1}.U = full(U);
ResultDefGrad{ImgSeqNum-1}.F = full(F); % tempFoamAL;
ResultAlpha{ImgSeqNum-1}.alpha = alpha_best;
ResultNormOfW{ImgSeqNum-1}.normOfW = full(normOfW);
ResultTimeICGN{ImgSeqNum-1}.timeICGN = full(timeICGN);
fprintf('------------ Section 4 Done ------------ \n \n')
end
% ------ Plot ------
UWorld = U; UWorld(2:2:end) = -U(2:2:end);
FWorld = F; FWorld(2:4:end) = -F(2:4:end); FWorld(3:4:end) = -F(3:4:end);
close all;
Plotdisp_showTri(UWorld,DICmesh.coordinatesFEMWorld,DICmesh.elementsFEM);
Plotstrain_showTri(FWorld,DICmesh.coordinatesFEMWorld,DICmesh.elementsFEM);
%% ------ Save results ------
% Find img name and save all the results
[~,imgname,imgext] = fileparts(file_name{1,end});
results_name = ['results_FE_globalDIC_',imgname,'_st',num2str(DICpara.winstepsize),'_alpha',num2str(DICpara.alpha),'.mat'];
save(results_name, 'file_name','DICpara','DICmesh','ResultDisp','ResultDefGrad','ResultFEMesh','normOfW','timeICGN');
%% Section 5
fprintf('------------ Section 5 Start ------------ \n')
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% This section is to compute strain fields and plot disp and strain results
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% ------ Convert units from pixels to the physical world ------
DICpara.um2px = funParaInput('ConvertUnit');
% ------ Smooth displacements ------
DICpara.DoYouWantToSmoothOnceMore = funParaInput('SmoothDispOrNot');
% ------ Choose strain computation method ------
DICpara.MethodToComputeStrain = 0; % funParaInput('StrainMethodOp');
% ------ Choose strain type (infinitesimal, Eulerian, Green-Lagrangian) ------
DICpara.StrainType = funParaInput('StrainType');
% ------ Choose image to plot (first only, second and next images) ------
if length(ImgNormalized)==2, DICpara.Image2PlotResults = funParaInput('Image2PlotResults');
else DICpara.Image2PlotResults = 1; % Plot over current, deformed image by default
end
% ------ Save fig format ------
DICpara.MethodToSaveFig = funParaInput('SaveFigFormat');
% ------ Choose overlay image transparency ------
DICpara.OrigDICImgTransparency = 1;
if DICpara.MethodToSaveFig == 1
DICpara.OrigDICImgTransparency = funParaInput('OrigDICImgTransparency');
end
% ------ Start main part ------
for ImgSeqNum = 2 : length(ImgNormalized)
disp(['Current image frame #: ', num2str(ImgSeqNum),'/',num2str(length(ImgNormalized))]);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
fNormalizedNewIndex = ImgSeqNum-mod(ImgSeqNum-2,DICpara.ImgSeqIncUnit)-1;
if DICpara.ImgSeqIncUnit > 1
FEMeshIndLast = floor(fNormalizedNewIndex/DICpara.ImgSeqIncUnit);
elseif DICpara.ImgSeqIncUnit == 1
FEMeshIndLast = floor(fNormalizedNewIndex/DICpara.ImgSeqIncUnit)-1;
end
FEMeshInd = FEMeshIndLast + 1;
if FEMeshInd == 1
USubpb2 = ResultDisp{ImgSeqNum-1}.U; %+ ResultDisp{10}.U + ResultDisp{20}.U;
coordinatesFEM = ResultFEMesh{1}.coordinatesFEM;
elementsFEM = ResultFEMesh{1}.elementsFEM;
if (ImgSeqNum-1 == 1) || (DICpara.ImgSeqIncROIUpdateOrNot==1), UFEMesh = 0*USubpb2; end
else
USubpb2 = ResultDisp{ImgSeqNum-1}.U;
if mod(ImgSeqNum-2,DICpara.ImgSeqIncUnit) == 0
coordinatesFEM = ResultFEMesh{FEMeshInd}.coordinatesFEM;
elementsFEM = ResultFEMesh{FEMeshInd}.elementsFEM;
coordinatesFEMLast = ResultFEMesh{FEMeshIndLast}.coordinatesFEM;
UFEMeshLast = ResultDisp{ImgSeqNum-2}.U + UFEMesh;
xq = coordinatesFEM(:,1); yq = coordinatesFEM(:,2);
UFEMesh = 0*USubpb2;
UFEMesh(1:2:end) = griddata(coordinatesFEMLast(:,1),coordinatesFEMLast(:,2),UFEMeshLast(1:2:end),xq,yq,'v4');
UFEMesh(2:2:end) = griddata(coordinatesFEMLast(:,1),coordinatesFEMLast(:,2),UFEMeshLast(2:2:end),xq,yq,'v4');
end
USubpb2 = USubpb2 + UFEMesh;
end
FSubpb2 = ResultDefGrad{ImgSeqNum-1}.F;
coordinatesFEM = ResultFEMeshEachFrame{ImgSeqNum-1}.coordinatesFEM;
elementsFEM = ResultFEMeshEachFrame{ImgSeqNum-1}.elementsFEM;
xList = min(coordinatesFEM(:,1)):DICpara.winstepsize:max(coordinatesFEM(:,1)); M = length(xList);
yList = min(coordinatesFEM(:,2)):DICpara.winstepsize:max(coordinatesFEM(:,2)); N = length(yList);
coordinatesFEMWorld = DICpara.um2px*[coordinatesFEM(:,1),size(ImgNormalized{1},2)+1-coordinatesFEM(:,2)];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% ------ Plotting and Compute Strain-------
if size(USubpb2,1) == 1
ULocal = USubpb2_New.USubpb2; FLocal = FSubpb2.FSubpb2;
else
ULocal = USubpb2; FLocal = FSubpb2;
end
UWorld = DICpara.um2px*ULocal; UWorld(2:2:end) = -UWorld(2:2:end); % close all; Plotuv(UWorld,x0,y0World);
% ------ Smooth displacements ------
%prompt = 'Do you want to smooth displacement? (0-yes; 1-no)';
%DoYouWantToSmoothOnceMore = input(prompt);
SmoothTimes = 0;
try
while DICpara.DoYouWantToSmoothOnceMore == 0 && SmoothTimes < 3
ULocal = funSmoothDisp(ULocal,DICmesh,DICpara);
%%DICpara.DoYouWantToSmoothOnceMore = input(prompt);
SmoothTimes = SmoothTimes + 1;
end
catch
end
% ----- Compute strain field ------
ComputeStrain; % Compute strain: run ComputeStrain.m
% %%%%% Add filter and plot strain field %%%%%
% %%%%% Plotstrain_Fij; %%%%%
% ------ Plot disp and strain ------
close all; % Plotuv(ULocal,x0,y0);
if DICpara.OrigDICImgTransparency == 1
Plotdisp_show(UWorld,coordinatesFEMWorld,DICmesh.elementsFEM(:,1:4),DICpara,'NoEdgeColor');
[strain_exx,strain_exy,strain_eyy,strain_principal_max,strain_principal_min,strain_maxshear,strain_vonMises] = ...
Plotstrain0Quadtree(FStrainWorld,coordinatesFEMWorld,DICmesh.elementsFEM(:,1:4),DICpara);
else % Plot over raw DIC images
if DICpara.Image2PlotResults == 0 % Plot over the first image; "file_name{1,1}" corresponds to the first image
PlotdispQuadtree(UWorld,coordinatesFEMWorld,DICmesh.elementsFEM(:,1:4),...
file_name{1,1},DICpara);
[strain_exx,strain_exy,strain_eyy,strain_principal_max,strain_principal_min, ...
strain_maxshear,strain_vonMises] = PlotstrainQuadtree(UWorld,FStrainWorld, ...
coordinatesFEMWorld,DICmesh.elementsFEM(:,1:4),file_name{1,1},DICpara);
else % Plot over second or next deformed images
PlotdispQuadtree(UWorld,coordinatesFEMWorld,DICmesh.elementsFEM(:,1:4),...
file_name{1,ImgSeqNum},DICpara);
[strain_exx,strain_exy,strain_eyy,strain_principal_max,strain_principal_min, ...
strain_maxshear,strain_vonMises] = PlotstrainQuadtree(UWorld,FStrainWorld, ...
coordinatesFEMWorld,DICmesh.elementsFEM(:,1:4),file_name{1,ImgSeqNum},DICpara);
end
end
% ----- Save strain results ------
ResultStrainWorld{ImgSeqNum-1} = struct('strainxCoord',coordinatesFEMWorld(:,1),'strainyCoord',coordinatesFEMWorld(:,2), ...
'dispu',UWorld(1:2:end),'dispv',UWorld(2:2:end), ...
'dudx',FStrainWorld(1:4:end),'dvdx',FStrainWorld(2:4:end),'dudy',FStrainWorld(3:4:end),'dvdy',FStrainWorld(4:4:end), ...
'strain_exx',strain_exx,'strain_exy',strain_exy,'strain_eyy',strain_eyy, ...
'strain_principal_max',strain_principal_max,'strain_principal_min',strain_principal_min, ...
'strain_maxshear',strain_maxshear,'strain_vonMises',strain_vonMises);
% ------ Save figures for tracked displacement and strain fields ------
SaveFigFilesDispAndStrain;
end
% ------ END of for-loop {ImgSeqNum = 2:length(ImgNormalized)} ------
fprintf('------------ Section 5 Done ------------ \n \n')
%% Save data again including stress solve method
results_name = ['results_FE_globalDIC_',imgname,'_st',num2str(DICpara.winstepsize(1)),'_alpha',num2str(DICpara.alpha),'.mat'];
save(results_name, 'file_name','DICpara','DICmesh','ResultDisp','ResultDefGrad','ResultStrainWorld', ...
'ResultFEMesh','ResultFEMeshEachFrame',...
'ResultAlpha','ResultNormOfW','ResultTimeICGN');
%% Section 6: Compute stress
fprintf('------------ Section 6 Start ------------ \n')
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% This section is to compute stress fields and plot stress fields
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% ------ Choose material model ------
DICpara.MaterialModel = funParaInput('MaterialModel');
% ------ Define parameters in material models ------
if (DICpara.MaterialModel == 1) || (DICpara.MaterialModel == 2) % Linear elasticity
fprintf('Define Linear elasticity parameters \n')
fprintf("Young's modulus (unit: Pa): \n"); prompt = 'Input here (e.g., 69e9): ';
DICpara.MaterialModelPara.YoungsModulus = input(prompt);
fprintf("Poisson's ratio: \n"); prompt = 'Input here (e.g., 0.3): ';
DICpara.MaterialModelPara.PoissonsRatio = input(prompt);
fprintf('------------------------------------- \n');
end
% ------ Start main part ------
for ImgSeqNum = 2 : length(ImgNormalized)
disp(['Current image frame #: ', num2str(ImgSeqNum),'/',num2str(length(ImgNormalized))]); close all;
coordinatesFEM = ResultFEMeshEachFrame{ImgSeqNum-1}.coordinatesFEM;
elementsFEM = ResultFEMeshEachFrame{ImgSeqNum-1}.elementsFEM;
coordinatesFEMWorldDef = DICpara.um2px*[coordinatesFEM(:,1),size(ImgNormalized{1},2)+1-coordinatesFEM(:,2)] + ...
DICpara.Image2PlotResults*[ResultStrainWorld{ImgSeqNum-1}.dispu, ResultStrainWorld{ImgSeqNum-1}.dispv];
% ------ Plot stress ------
if DICpara.OrigDICImgTransparency == 1
[stress_sxx,stress_sxy,stress_syy, stress_principal_max_xyplane, ...
stress_principal_min_xyplane, stress_maxshear_xyplane, ...
stress_maxshear_xyz3d, stress_vonMises] = Plotstress0Quadtree( ...
DICpara,ResultStrainWorld{ImgSeqNum-1},coordinatesFEMWorldDef,elementsFEM(:,1:4));
else % Plot over raw DIC images
if DICpara.Image2PlotResults == 0 % Plot over the first image; "file_name{1,1}" corresponds to the first image
[stress_sxx,stress_sxy,stress_syy, stress_principal_max_xyplane, ...
stress_principal_min_xyplane, stress_maxshear_xyplane, ...
stress_maxshear_xyz3d, stress_vonMises] = PlotstressQuadtree( ...
DICpara,ResultStrainWorld{ImgSeqNum-1},coordinatesFEMWorldDef,elementsFEM(:,1:4),file_name{1,1});
else % Plot over second or next deformed images
[stress_sxx,stress_sxy,stress_syy, stress_principal_max_xyplane, ...
stress_principal_min_xyplane, stress_maxshear_xyplane, ...
stress_maxshear_xyz3d, stress_vonMises] = PlotstressQuadtree( ...
DICpara,ResultStrainWorld{ImgSeqNum-1},coordinatesFEMWorldDef,elementsFEM(:,1:4),file_name{1,ImgSeqNum});
end
end
% ------ Save figures for computed stress fields ------
SaveFigFilesStress;
% ----- Save strain results ------
ResultStressWorld{ImgSeqNum-1} = struct('stressxCoord',ResultStrainWorld{ImgSeqNum-1}.strainxCoord,'stressyCoord',ResultStrainWorld{ImgSeqNum-1}.strainyCoord, ...
'stress_sxx',stress_sxx,'stress_sxy',stress_sxy,'stress_syy',stress_syy, ...
'stress_principal_max_xyplane',stress_principal_max_xyplane, 'stress_principal_min_xyplane',stress_principal_min_xyplane, ...
'stress_maxshear_xyplane',stress_maxshear_xyplane,'stress_maxshear_xyz3d',stress_maxshear_xyz3d, ...
'stress_vonMises',stress_vonMises);
end
% ------ END of for-loop {ImgSeqNum = 2:length(ImgNormalized)} ------
fprintf('------------ Section 6 Done ------------ \n \n')
%% Save data again including stress solve method
results_name = ['results_FE_globalDIC_',imgname,'_st',num2str(DICpara.winstepsize(1)),'_alpha',num2str(DICpara.alpha),'.mat'];
save(results_name, 'file_name','DICpara','DICmesh','ResultDisp','ResultDefGrad','ResultStrainWorld','ResultStressWorld', ...
'ResultFEMesh','ResultFEMeshEachFrame',...
'ResultAlpha','ResultNormOfW','ResultTimeICGN');