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Main_rheological_model_random.m
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Main_rheological_model_random.m
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clear all;
clc;
close all;
global a1 a2 a3
p_s = [pwd '/lib']
addpath(p_s)
addpath('C:/Users/bahtiri/Documents/postprocessingMD/Matlab/matlab2tikz/matlab2tikz-master/src/')
% wnp/wgf = 0/0 - 0.1/0 - 0.2/0 - 0/0.6 - 0.15/0.45 - 0.1/0.3 - 0.15/0.15
wnp = 0.0; % nanoparticle weight fraction
wgf = 0.0; % glass fiber weight fraction
wp = 1 - wnp - wgf; % polymer weight fraction
% densities
ro_p = 1.20; % density of polymer (g/ml)
ro_np = 3.00; % density of nanoparticle (g/ml)
ro_gf = 2.55; % density of glass fiber (g/ml)
% nanoparticle volume fraction
vnp = wnp * ro_p / (ro_np + wnp*ro_p - ro_np*wnp);
% cyclic_exp_full = 0;
% cyclic = 0;
% if cyclic_exp_full == 1
% % filename = "exp_data_cyclic/epoxy_1.txt";
% % [timeVec, trueStrain, expStress] = read_in(filename,1);
% % p = polyfit(timeVec(100:200),trueStrain(100:200),1);
% et_load = 0.00015;
% et_unload = 0.00030;
% dt = 0.1;
% de = et * dt;
% else
% filename = ["monotonic_edited.txt"] ;
% [timeVec, trueStrain_mono, expStress] = read_in(filename,0);
% p = polyfit(timeVec(100:200),trueStrain_mono(100:200),1);
% % et = 5e-4; % et3
% % et = 1e-3; % et2
% et = 9e-4; % et1
% % et = 1.6e-3;
% % dt_mono = 0.1;
% ef = 0.06;
% de_mono = mean(abs(diff(trueStrain_mono)));
% de_mono = 5e-5;
% dt_mono = de_mono/et;
% strain_step = round(ef/de_mono);
% trueStrain_mono = linspace(0, ef, strain_step);
% % et_load =5e-4; %et3
% % et_unload = 5e-4; %et3
% % et_load =1e-3; %et2
% % et_unload = 1e-3; %et2
% et_load =9e-4; %et1
% et_unload =9e-4; %et1
% % et_load = 0.00015;
% % et_unload = 0.0003;
% end
%TEST
mu1 = 760;
mu2 = 790;
nu1 = 0.23;
nu2 = 0.0;
m = 0.657;
gamma_dot_0 = 9.7746e11;
dG = 1.9761e-19;
Ad = 320;
tau0 = 85;
d0s = 0.1;
m_tau = 2;
y0 = 75;
x0 = 0.2369;
a_t = -48.23;
b_t = 0.06786;
a = 0.179;
% b = 0.910;
sigma0 =5.5;
Temper = 296;
% zita = 0.011;
zita = 0.0;
alphaZ = 1 + 0.057*zita.^2-9.5.*zita;
% alphaZ = 0.039;
Tref = 296;
alphaT = 2 - exp(0.01093*(Temper - Tref));
b = 0.910;
params = [mu1 mu2 nu1 m gamma_dot_0 dG Ad tau0 d0s m_tau a b sigma0 y0 x0 ...
a_t b_t];
params_F = [Temper Tref alphaT zita alphaZ wnp];
nnetwork = 1;
d0 = 0;
de_mono = 5e-5;
et = 1e-3;
dt_mono = de_mono/et;
et_load =1e-3;
et_unload = 1e-3;
%% Random simulations
sim_strain = {};
peaks = 5;
% set(0,'DefaultFigureVisible','off');
target_fold = sprintf('simulations_const_random_%d',peaks);
mkdir(target_fold);
target_fold2 = sprintf('simulations_const_random_pert_%d',peaks);
mkdir(target_fold2);
p = haltonset(9);
p = scramble(p,'RR2');
X0 = p(1:1000,:);
M1 = normalize(X0(:,1),'range',[0.9,1.1]);
M2 = normalize(X0(:,2),'range',[0.9,1.1]);
M3 = normalize(X0(:,3),'range',[0.9,1.1]);
M4 = normalize(X0(:,4),'range',[-0.05,0.05]);
M5 = normalize(X0(:,5),'range',[-0.05,0.05]);
M6 = normalize(X0(:,6),'range',[-0.05,0.05]);
M7 = normalize(X0(:,7),'range',[-0.05,0.05]);
M8 = normalize(X0(:,8),'range',[-0.05,0.05]);
M9 = normalize(X0(:,9),'range',[-0.05,0.05]);
f1 = figure('Name','Uniform random');
scatter3(M1,M2,M3)
hold on;
% hold on;
% plot([0.93 0.93],[0.93 1.07],'LineWidth',2,'Color','r');
% plot([1.07 1.07],[0.93 1.07],'LineWidth',2,'Color','r');
% plot([0.93 1.07],[0.93 0.93],'LineWidth',2,'Color','r');
% plot([0.93 1.07],[1.07 1.07],'LineWidth',2,'Color','r');
% plot([1.0 1.0],[0.93 1.07],'LineWidth',2,'Color','b');
% plot([0.93 1.07],[1.0 1.0],'LineWidth',3,'Color','b');
ylim([0.9 1.1])
xlim([0.9 1.1])
start = ones(length(X0),1);
origin = [1;1;1];
startin_ptx = 1.0;
startin_pty = 1.0;
startin_ptz = 1.0;
lpd = ones(3,peaks);
lps = zeros(6,peaks);
combination = 123;
f2 = figure('Name','Rheology model');
hold on;
f4 = figure('Name','Rheology shear stress');
f3 = figure('Name','Deformation Gradient');
validate = 0;
pos_comb = [123 1 2 3 12 13 23 9 112 113 121 1230 131 132 ...
212 213 221 223 231 232 312 313 321 323 331 332 9 9 9 9 9 9 9];
%pos_comb = [123 1 2 3 12 13 23];
% pos_comb = [12];
% pos_comb = 9;
wnp_m = [0;0.1];
zitam = [0;0.01];
temps = [296;333];
time_cons = zeros(100,4);
time_ml = zeros(100,4);
if validate == 0
for sims = 1
ind = randperm(numel(pos_comb), 1);
combination = pos_comb(ind) %Randomly select combination of F
%Starting points
startin_ptx = 1.0;
startin_pty = 1.0;
startin_ptz = 1.0;
% Select randomly states for the simulation from the uniform points
next = randi([1 length(X0)],peaks,1);
statexx = M1(next);
stateyy = M2(next);
statezz = M3(next);
state12 = M4(next);
state13 = M5(next);
state21 = M6(next);
state23 = M7(next);
state31 = M8(next);
state32 = M9(next);
states = [statexx stateyy statezz];
states_shear = [state12 state13 state21 state23 state31 state32];
color = rand(1,3);
for i = 1:peaks
dpx = statexx(i) - startin_ptx;
dpy = stateyy(i) - startin_pty;
dpz = statezz(i) - startin_ptz;
set(0, 'CurrentFigure', f1)
quiver3(startin_ptx,startin_pty,startin_ptz,dpx,dpy,dpz,0,'LineWidth',0.8,'Color', color);
startin_ptx = startin_ptx + dpx;
startin_pty = startin_pty + dpy;
startin_ptz = startin_ptz + dpz;
end
trueStrain = {};
trueStrain_shear = {};
b = 1;
%Here is the deformation vector for F11, F22 and F33 created:
while b == 1
et = 1e-5 + (1e-3-1e-5).*rand(1);
dt = round(0.05 + (5-0.05).*rand(1),3);
de1 = 1e-6 + (1e-4-1e-6).*rand(1);
de2 = 1e-6 + (1e-4-1e-6).*rand(1);
for i = 1:3
k = 1;
for j = 2:peaks+1
prev_peak = lpd(i,j-1);
current_peak = states(j-1,i);
de = de1;
if current_peak > prev_peak
current_strain = prev_peak:de:current_peak;
elseif current_peak < prev_peak
current_strain = prev_peak:-de:current_peak;
end
trueStrain{i,k} = current_strain;
k = k +1;
lpd(i,j) = current_peak;
end
end
de1
%Here is the deformation vector for F12,F13,F21... created:
for i = 1:6
k = 1;
for j = 2:peaks+1
prev_peak = lps(i,j-1);
current_peak = states_shear(j-1,i);
de = de2;
if current_peak > prev_peak
current_strain = prev_peak:de:current_peak;
elseif current_peak < prev_peak
current_strain = prev_peak:-de:current_peak;
end
trueStrain_shear{i,k} = current_strain;
k = k +1;
lps(i,j) = current_peak;
end
end
de2
%Collect strain vectors for F11,F22 and F33
trueStrain1 ={};
trueStrain2 = {};
trueStrain3 = {};
for i = 1:3
for j = 1:size(trueStrain,2)
switch i
case 1
trueStrain1{1,j} = trueStrain{i,j};
case 2
trueStrain2{1,j} = trueStrain{i,j};
case 3
trueStrain3{1,j} = trueStrain{i,j};
end
end
end
trueStrain11 = cell2mat(trueStrain1);
trueStrain22 = cell2mat(trueStrain2);
trueStrain33 = cell2mat(trueStrain3);
%Collect strain vectors for F12,F13,F21 etc.
trueStrain12 ={};
trueStrain13 = {};
trueStrain21 = {};
trueStrain23 = {};
trueStrain31 = {};
trueStrain32 = {};
for i = 1:6
for j = 1:size(trueStrain_shear,2)
switch i
case 1
trueStrain12{1,j} = trueStrain_shear{i,j};
trueStrain{4,j} = trueStrain_shear{i,j};
case 2
trueStrain13{1,j} = trueStrain_shear{i,j};
trueStrain{5,j} = trueStrain_shear{i,j};
case 3
trueStrain21{1,j} = trueStrain_shear{i,j};
trueStrain{6,j} = trueStrain_shear{i,j};
case 4
trueStrain23{1,j} = trueStrain_shear{i,j};
trueStrain{7,j} = trueStrain_shear{i,j};
case 5
trueStrain31{1,j} = trueStrain_shear{i,j};
trueStrain{8,j} = trueStrain_shear{i,j};
case 6
trueStrain32{1,j} = trueStrain_shear{i,j};
trueStrain{9,j} = trueStrain_shear{i,j};
end
end
end
trueStrain12 =cell2mat(trueStrain12);
trueStrain13 = cell2mat(trueStrain13);
trueStrain21 = cell2mat(trueStrain21);
trueStrain23 = cell2mat(trueStrain23);
trueStrain31 = cell2mat(trueStrain31);
trueStrain32 = cell2mat(trueStrain32);
% Create deformation gradient here just for one step to calculate
% the strain and strain rate and check if we are within a defined
% strain rate !!
% If not continue the while loop again until we are within the
% defined strain rate
switch combination
case 1
F_diag = [1+de1 0 0;0 1 0;0 0 1];
case 2
F_diag = [1 0 0;0 1+de1 0;0 0 1];
case 3
F_diag = [1 0 0;0 1 0;0 0 1+de1];
case 12
F_diag = [1+de1 0 0;0 1+de1 0;0 0 1];
case 13
F_diag = [1+de1 0 0;0 1 0;0 0 1+de1];
case 23
F_diag = [1 0 0;0 1+de1 0;0 0 1+de1];
case 123
F_diag = [1+de1 0 0;0 1+de1 0;0 0 1+de1];
case 9
F_diag = [1+de1 de2 de2;de2 1+de1 de2;de2 de2 1+de1];
case 112
F_diag = [1+de1 de2 0;0 1 0;0 0 1];
case 113
F_diag = [1+de1 0 de2;0 1 0;0 0 1];
case 121
F_diag = [1+de1 0 0;de2 1 0;0 0 1];
case 1230
F_diag = [1+de1 0 0;0 1 de2;0 0 1];
case 131
F_diag = [1+de1 0 0;0 1 0;de2 0 1];
case 132
F_diag = [1+de1 0 0;0 1 0;0 de2 1];
case 212
F_diag = [1 de2 0;0 1+de2 0;0 0 1];
case 213
F_diag = [1 0 de2;0 1+de1 0;0 0 1];
case 221
F_diag = [1 0 0;de2 1+de1 0;0 0 1];
case 223
F_diag = [1 0 0;0 1+de1 de2;0 0 1];
case 231
F_diag = [1 0 0;0 1+de1 0;de2 0 1];
case 232
F_diag = [1 0 0;0 1+de1 0;0 de2 1];
case 312
F_diag = [1 de2 0;0 1 0;0 0 1+de1];
case 313
F_diag = [1 0 de2;0 1 0;0 0 1+de1];
case 321
F_diag = [1 0 0;de2 1 0;0 0 1+de1];
case 323
F_diag = [1 0 0;0 1 de2;0 0 1+de1];
case 331
F_diag = [1 0 0;0 1 0;de2 0 1+de1];
case 332
F_diag = [1 0 0;0 1 0;0 de2 1+de1];
end
% Calculate strain
strain_diag = 1/2*(eye(3) - inv(F_diag*F_diag'));
norm_s = norm(strain_diag,'fro');
%Check if within strain rate
if abs(norm_s/dt) > 1e-5 & abs(norm_s/dt) < 1e-3
b = 0;
else
b = 1;
end
end
% Make sure all deformation vectors have the same length
ind = randi([1,9],1);
trueStrain_copy = trueStrain;
trueStrain_copy2 = trueStrain;
for sim_types = 1
if sim_types == 1
switch ind;
case {1,4,5}
slength = cat(2,trueStrain_copy{ind,:});
for i = 1:9
if length(slength) > length(cat(2,trueStrain_copy{i,:}))
if i <= 3
add_to = ones(length(slength) - length(cat(2,trueStrain_copy{i,:})),1);
else
add_to = zeros(length(slength) - length(cat(2,trueStrain_copy{i,:})),1);
end
trueStrain_copy{i,1} = [add_to' trueStrain_copy{i,1}];
trueStrain_final{i} = cat(2,trueStrain_copy{i,:});
else
diff_l = length(cat(2,trueStrain_copy{i,:})) - length(slength);
current_s = cat(2,trueStrain_copy{i,:});
trueStrain_final{i} = [current_s(1:end-diff_l)];
end
end
case {2,6,7}
slength = cat(2,trueStrain_copy{ind,:});
for i = 1:9
if length(slength) > length(cat(2,trueStrain_copy{i,:}))
if i <= 3
add_to = ones(length(slength) - length(cat(2,trueStrain_copy{i,:})),1);
else
add_to = zeros(length(slength) - length(cat(2,trueStrain_copy{i,:})),1);
end
trueStrain_copy{i,1} = [add_to' trueStrain_copy{i,1}];
trueStrain_final{i} = cat(2,trueStrain_copy{i,:});
else
diff_l = length(cat(2,trueStrain_copy{i,:})) - length(slength);
current_s = cat(2,trueStrain_copy{i,:});
trueStrain_final{i} = [current_s(1:end-diff_l)];
end
end
case {3,8,9}
slength = cat(2,trueStrain_copy{ind,:});
for i = 1:9
if length(slength) > length(cat(2,trueStrain_copy{i,:}))
if i <= 3
add_to = ones(length(slength) - length(cat(2,trueStrain_copy{i,:})),1);
else
add_to = zeros(length(slength) - length(cat(2,trueStrain_copy{i,:})),1);
end
trueStrain_copy{i,1} = [add_to' trueStrain_copy{i,1}];
trueStrain_final{i} = cat(2,trueStrain_copy{i,:});
else
diff_l = length(cat(2,trueStrain_copy{i,:})) - length(slength);
current_s = cat(2,trueStrain_copy{i,:});
trueStrain_final{i} = [current_s(1:end-diff_l)];
end
end
end
trueStrain11 = trueStrain_final{1};
trueStrain22 = trueStrain_final{2};
trueStrain33 = trueStrain_final{3};
trueStrain12 = trueStrain_final{4};
trueStrain13 = trueStrain_final{5};
trueStrain21 = trueStrain_final{6};
trueStrain23 = trueStrain_final{7};
trueStrain31 = trueStrain_final{8};
trueStrain32 = trueStrain_final{9};
else
switch ind;
case {1,4,5}
slength = cat(2,trueStrain_copy2{ind,:});
for i = 1:9
if length(slength) > length(cat(2,trueStrain_copy2{i,:}))
add_to = zeros(length(slength) - length(cat(2,trueStrain_copy2{i,:})),1);
add = cat(2,trueStrain_copy2{i,:});
add_to(:) = add(end);
trueStrain_copy2{i,end} = [trueStrain_copy2{i,end} add_to'];
trueStrain_final2{i} = cat(2,trueStrain_copy2{i,:});
else
diff_l = length(cat(2,trueStrain_copy2{i,:})) - length(slength);
current_s = cat(2,trueStrain_copy2{i,:});
trueStrain_final2{i} = [current_s(1:end-diff_l)];
end
end
case {2,6,7}
slength = cat(2,trueStrain_copy2{ind,:});
for i = 1:9
if length(slength) > length(cat(2,trueStrain_copy2{i,:}))
add_to = zeros(length(slength) - length(cat(2,trueStrain_copy2{i,:})),1);
add = cat(2,trueStrain_copy2{i,:});
add_to(:) = add(end);
trueStrain_copy2{i,end} = [trueStrain_copy2{i,end} add_to'];
trueStrain_final2{i} = cat(2,trueStrain_copy2{i,:});
else
diff_l = length(cat(2,trueStrain_copy2{i,:})) - length(slength);
current_s = cat(2,trueStrain_copy2{i,:});
trueStrain_final2{i} = [current_s(1:end-diff_l)];
end
end
case {3,8,9}
slength = cat(2,trueStrain_copy2{ind,:});
for i = 1:9
if length(slength) > length(cat(2,trueStrain_copy2{i,:}))
add_to = zeros(length(slength) - length(cat(2,trueStrain_copy2{i,:})),1);
add = cat(2,trueStrain_copy2{i,:});
add_to(:) = add(end);
trueStrain_copy2{i,end} = [trueStrain_copy2{i,end} add_to'];
trueStrain_final2{i} = cat(2,trueStrain_copy2{i,:});
else
diff_l = length(cat(2,trueStrain_copy2{i,:})) - length(slength);
current_s = cat(2,trueStrain_copy2{i,:});
trueStrain_final2{i} = [current_s(1:end-diff_l)];
end
end
end
trueStrain11 = trueStrain_final2{1};
trueStrain22 = trueStrain_final2{2};
trueStrain33 = trueStrain_final2{3};
trueStrain12 = trueStrain_final2{4};
trueStrain13 = trueStrain_final2{5};
trueStrain21 = trueStrain_final2{6};
trueStrain23 = trueStrain_final2{7};
trueStrain31 = trueStrain_final2{8};
trueStrain32 = trueStrain_final2{9};
end
%Run simulation
% for tempsat = 1:2
for zitamat = 1
for wnpmat = 1
zita = zitam(zitamat);
wnp = wnp_m(wnpmat);
% Temper = temps(tempsat)
alphaZ = 1 + 0.057*zita.^2-9.5.*zita;
alphaT = 2 - exp(0.0126*(Temper - Tref));
params_F = [Temper Tref alphaT zita alphaZ];
wgf = 0.0; % glass fiber weight fraction
wp = 1 - wnp - wgf; % polymer weight fraction
% densities
ro_p = 1.20; % density of polymer (g/ml)
ro_np = 3.00; % density of nanoparticle (g/ml)
ro_gf = 2.55; % density of glass fiber (g/ml)
% nanoparticle volume fraction
vnp = wnp * ro_p / (ro_np + wnp*ro_p - ro_np*wnp);
if combination == 9
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de_mono,d0,dt_mono,vnp,params_F,...
nnetwork,0,et_load,et_unload,trueStrain11,trueStrain22,trueStrain33,...
trueStrain12,trueStrain13,trueStrain21,trueStrain23,trueStrain31,trueStrain32,0);
toc
elseif combination == 1
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,trueStrain11,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 2
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),trueStrain22,ones(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 3
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),trueStrain33,...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 12
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,trueStrain11,trueStrain22,ones(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 13
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,trueStrain11,ones(1,length(trueStrain11)),trueStrain33,...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 23
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de_mono,d0,dt_mono,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),trueStrain22,trueStrain33,...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 123
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,trueStrain11,trueStrain22,trueStrain33,...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 112
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,trueStrain11,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),...
trueStrain12,zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 113
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,trueStrain11,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),trueStrain13,zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 121
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,trueStrain11,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),trueStrain21,...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 1230
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,trueStrain11,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
trueStrain23,zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 131
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,trueStrain11,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),trueStrain31,zeros(1,length(trueStrain11)),0);
toc
elseif combination == 132
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,trueStrain11,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),trueStrain32,0);
toc
elseif combination == 212
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),trueStrain22,ones(1,length(trueStrain11)),...
trueStrain12,zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 213
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),trueStrain22,ones(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),trueStrain13,zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 221
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),trueStrain22,ones(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),trueStrain21,...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 223
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),trueStrain22,ones(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
trueStrain23,zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 231
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),trueStrain22,ones(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),trueStrain31,zeros(1,length(trueStrain11)),0);
toc
elseif combination == 232
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),trueStrain22,ones(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),trueStrain32,0);
toc
elseif combination == 312
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),trueStrain33,...
trueStrain12,zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 313
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),trueStrain33,...
zeros(1,length(trueStrain11)),trueStrain13,zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 321
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),trueStrain33,...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),trueStrain21,...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 323
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),trueStrain33,...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
trueStrain23,zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),0);
toc
elseif combination == 331
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),trueStrain33,...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),trueStrain31,zeros(1,length(trueStrain11)),0);
toc
elseif combination == 332
tic
[stress,F,F_ve,F_v,F_e,F_vp,J_final,t_tot,sigma,sigma_inf,sigma_t,sigma_v,d,...
strain,tau,trueStrain,b_almansi,C_pert,rdn] = model_vevpd_fmix(params,de,d0,dt,vnp,params_F,...
nnetwork,0,et_load,et_unload,ones(1,length(trueStrain11)),ones(1,length(trueStrain11)),trueStrain33,...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),...
zeros(1,length(trueStrain11)),zeros(1,length(trueStrain11)),trueStrain32,0);
toc
end
sig_rheo = cell2mat(sigma);
F_rheo = cell2mat(F);
F_v_rheo = cell2mat(F_v);
F_vp_rheo = cell2mat(F_vp);
strain_rheo = cell2mat(strain);
b_mat = cell2mat(b_almansi);
time = t_tot';
C_rheo = cell2mat(C_pert)';
if length(sig_rheo) ~= length(strain_rheo)
continue
end
if length(sig_rheo) < 1
continue
end
% Plot stress-strain
set(0, 'CurrentFigure', f2)
hold on;
plot(strain_rheo(1:3:end,1),sig_rheo(1:3:end,1),'DisplayName','S11',...
'LineWidth',1,...
'LineStyle','-','Color','b');
plot(strain_rheo(2:3:end,2),sig_rheo(2:3:end,2),'DisplayName','S22',...
'LineWidth',1.5,...
'LineStyle','--','Color','r');
plot(strain_rheo(3:3:end,3),sig_rheo(3:3:end,3),'DisplayName','S33',...
'LineWidth',2,...
'LineStyle','-.','Color','k');
set(0,'CurrentFigure',f4)
hold on;
plot(strain_rheo(1:3:end,2),sig_rheo(1:3:end,2),'DisplayName','S12',...
'LineWidth',1,...
'LineStyle','-','Color','b');
plot(strain_rheo(1:3:end,3),sig_rheo(1:3:end,3),'DisplayName','S13',...
'LineWidth',1.5,...
'LineStyle','--','Color','r');
plot(strain_rheo(2:3:end,1),sig_rheo(2:3:end,1),'DisplayName','S21',...
'LineWidth',2,...
'LineStyle','-.','Color','k');
plot(strain_rheo(2:3:end,3),sig_rheo(2:3:end,3),'DisplayName','S23',...
'LineWidth',1,...
'LineStyle','-','Color','g');
plot(strain_rheo(3:3:end,1),sig_rheo(3:3:end,1),'DisplayName','S31',...
'LineWidth',1.5,...
'LineStyle','--','Color','r');
plot(strain_rheo(3:3:end,2),sig_rheo(3:3:end,2),'DisplayName','S32',...
'LineWidth',2,...
'LineStyle','-.','Color','k');
set(0, 'CurrentFigure', f3)
hold on;
for i = 1:3
switch i
case 1
plot(trueStrain11,'Color','b','LineStyle','-','LineWidth',1);
case 2
plot(trueStrain22,'Color','r','LineStyle','--','LineWidth',1.5);
case 3
plot(trueStrain33,'Color','k','LineStyle','-.','LineWidth',2);
end
end
% pause(2);
%Create input and output for stress-b mapping
inputs = {};
outputs = {};
k = 1;
for i = 1:length(F)
F1 = F{i,1};
b_1 = b_almansi{i,1};
current_F_1 = wrapper(F{i,1})';
current_stress_1 = wrapper_symm(sigma{i,1})';
current_b = wrapper_symm(b_1)';
inputs{1,k} = [current_b;dt;wnp;zita;Temper];
outputs{1,k} = [current_stress_1];
k = k + 1;
end
x = cell2mat(inputs);
t = cell2mat(outputs);
if any(t > abs(400), 'all')
sims
continue
else
target = sprintf('simulations_const_random_%d/input_target_ml_et_%d_%d_%d_%d.mat',peaks,sims,wnpmat,zitamat,sim_types)
save(target,'x','t');
end
end
end
end
% end
%Create input and output for F and C_perturbation mapping
inputs = {};
outputs = {};
k = 1;
sim_strain{1,sims} = trueStrain11;
sim_strain{2,sims} = trueStrain22;
sim_strain{3,sims} = trueStrain33;
end
target = sprintf('/simulations_const_random_%d/space.fig',peaks);
saveas(figure(f1),[pwd target]);
target = sprintf('/simulations_const_random_%d/load_path.fig',peaks);
saveas(figure(f3),[pwd target]);
target = sprintf('/simulations_const_random_%d/results.fig',peaks);
saveas(figure(f2),[pwd target]);
%Validate the predicted stress strain from ML
elseif validate == 1
close all;
load('lstm_3_seqtoseq_2150_64.mat');
printout(net,muX,sigmaX,muT,sigmaT,64);
try
rmdir validation
end
mkdir validation
for sims = 1:100
close all;
% combination = randsample(pos_comb,1);
combination = randsample(pos_comb,1); %Randomly select combination of F
combination = 9;
% combination = 1;
%Starting points
startin_ptx = 1.0;
startin_pty = 1.0;
startin_ptz = 1.0;
% Select randomly states for the simulation from the uniform points
next = randi([1 length(X0)],peaks,1);
statexx = M1(next);
stateyy = M2(next);
statezz = M3(next);
state12 = M4(next);
state13 = M5(next);
state21 = M6(next);
state23 = M7(next);
state31 = M8(next);
state32 = M9(next);
states = [statexx stateyy statezz];
states_shear = [state12 state13 state21 state23 state31 state32];
% color = rand(1,3);
% for i = 1:peaks
% dpx = statexx(i) - startin_ptx;
% dpy = stateyy(i) - startin_pty;
% dpz = statezz(i) - startin_ptz;
% quiver3(startin_ptx,startin_pty,startin_ptz,dpx,dpy,dpz,0,'LineWidth',0.8,'Color', color);
% startin_ptx = startin_ptx + dpx;
% startin_pty = startin_pty + dpy;
% startin_ptz = startin_ptz + dpz;
% end
trueStrain = {};
trueStrain_shear = {};
b = 1;
%Here is the deformation vector for F11, F22 and F33 created:
%Here is the deformation vector for F11, F22 and F33 created:
while b == 1
et = 1e-5 + (1e-3-1e-5).*rand(1);
dt = round(0.5 + (5-0.5).*rand(1),3);
de1 = 8e-5 + (1e-4-8e-5).*rand(1);
de2 = 5e-5 + (1e-4-5e-5).*rand(1);
for i = 1:3
k = 1;
for j = 2:peaks+1
prev_peak = lpd(i,j-1);
current_peak = states(j-1,i);
de = de1;
if current_peak > prev_peak
current_strain = prev_peak:de:current_peak;
elseif current_peak < prev_peak
current_strain = prev_peak:-de:current_peak;
end
trueStrain{i,k} = current_strain;
k = k +1;
lpd(i,j) = current_peak;
end
end
de1
%Here is the deformation vector for F12,F13,F21... created:
for i = 1:6
k = 1;
for j = 2:peaks+1
prev_peak = lps(i,j-1);
current_peak = states_shear(j-1,i);
de = de2;
if current_peak > prev_peak
current_strain = prev_peak:de:current_peak;
elseif current_peak < prev_peak
current_strain = prev_peak:-de:current_peak;
end
trueStrain_shear{i,k} = current_strain;
k = k +1;
lps(i,j) = current_peak;
end
end
de2
%Collect strain vectors for F11,F22 and F33
trueStrain1 ={};
trueStrain2 = {};
trueStrain3 = {};
for i = 1:3
for j = 1:size(trueStrain,2)
switch i
case 1
trueStrain1{1,j} = trueStrain{i,j};
case 2
trueStrain2{1,j} = trueStrain{i,j};
case 3
trueStrain3{1,j} = trueStrain{i,j};
end
end
end
trueStrain11 = cell2mat(trueStrain1);
trueStrain22 = cell2mat(trueStrain2);
trueStrain33 = cell2mat(trueStrain3);
%Collect strain vectors for F12,F13,F21 etc.
trueStrain12 ={};
trueStrain13 = {};
trueStrain21 = {};
trueStrain23 = {};
trueStrain31 = {};
trueStrain32 = {};
for i = 1:6
for j = 1:size(trueStrain_shear,2)
switch i
case 1
trueStrain12{1,j} = trueStrain_shear{i,j};
trueStrain{4,j} = trueStrain_shear{i,j};
case 2
trueStrain13{1,j} = trueStrain_shear{i,j};
trueStrain{5,j} = trueStrain_shear{i,j};
case 3
trueStrain21{1,j} = trueStrain_shear{i,j};
trueStrain{6,j} = trueStrain_shear{i,j};
case 4
trueStrain23{1,j} = trueStrain_shear{i,j};
trueStrain{7,j} = trueStrain_shear{i,j};
case 5
trueStrain31{1,j} = trueStrain_shear{i,j};
trueStrain{8,j} = trueStrain_shear{i,j};
case 6
trueStrain32{1,j} = trueStrain_shear{i,j};
trueStrain{9,j} = trueStrain_shear{i,j};
end
end
end
trueStrain12 =cell2mat(trueStrain12);
trueStrain13 = cell2mat(trueStrain13);
trueStrain21 = cell2mat(trueStrain21);
trueStrain23 = cell2mat(trueStrain23);
trueStrain31 = cell2mat(trueStrain31);
trueStrain32 = cell2mat(trueStrain32);
% Create deformation gradient here just for one step to calculate
% the strain and strain rate and check if we are within a defined
% strain rate !!
% If not continue the while loop again until we are within the
% defined strain rate
switch combination
case 1
F_diag = [1+de1 0 0;0 1 0;0 0 1];
case 2
F_diag = [1 0 0;0 1+de1 0;0 0 1];
case 3
F_diag = [1 0 0;0 1 0;0 0 1+de1];
case 12
F_diag = [1+de1 0 0;0 1+de1 0;0 0 1];
case 13
F_diag = [1+de1 0 0;0 1 0;0 0 1+de1];
case 23
F_diag = [1 0 0;0 1+de1 0;0 0 1+de1];
case 123
F_diag = [1+de1 0 0;0 1+de1 0;0 0 1+de1];
case 9
F_diag = [1+de1 de2 de2;de2 1+de1 de2;de2 de2 1+de1];
case 112
F_diag = [1+de1 de2 0;0 1 0;0 0 1];
case 113
F_diag = [1+de1 0 de2;0 1 0;0 0 1];
case 121
F_diag = [1+de1 0 0;de2 1 0;0 0 1];
case 1230
F_diag = [1+de1 0 0;0 1 de2;0 0 1];
case 131
F_diag = [1+de1 0 0;0 1 0;de2 0 1];
case 132
F_diag = [1+de1 0 0;0 1 0;0 de2 1];