added fitting procedure for load over stiffness squared

DavidMercier · Sep 24, 2015 · cbfd19d · cbfd19d
1 parent d1eafd6
commit cbfd19d
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Showing 5 changed files with 65 additions and 7 deletions.
diff --git a/matlab_code/get_and_plot.m b/matlab_code/get_and_plot.m
@@ -33,15 +33,24 @@
     if gui.variables.y_axis == 1
         model_load_disp;
         gui = guidata(gcf); guidata(gcf, gui);
-        gui.results.P_fit = gui.results.P_fit/gui.data.loadFact;
+        gui.results.P_fit = gui.results.P_fit./gui.data.loadFact;
         guidata(gcf, gui);
     end
 
     %% Stiffness analysis
     if gui.variables.y_axis == 2
         model_stiffness;
         gui = guidata(gcf); guidata(gcf, gui);
-        gui.results.S_fit = gui.results.S_fit/gui.data.stifFact;
+        gui.results.S_fit = gui.results.S_fit./gui.data.stifFact;
+        guidata(gcf, gui);
+    end
+
+    %% Load over stiffness squared analysis
+    if gui.variables.y_axis == 3
+        model_loadOverstiffnessSquared;
+        gui = guidata(gcf); guidata(gcf, gui);
+        gui.results.LS2_fit = gui.results.LS2_fit .* (gui.data.stifFact.^2) ./ ...
+            gui.data.loadFact;
         guidata(gcf, gui);
     end
 

diff --git a/matlab_code/gui/refresh_param_GUI.m b/matlab_code/gui/refresh_param_GUI.m
@@ -50,6 +50,11 @@
         'String', gui.handles.title_stiffness_model);
     set(gui.handles.value_model_GUI, ...
         'String', gui.handles.list_stiffness_model);
+elseif get(gui.handles.value_param2plotinyaxis_GUI , 'Value') == 3
+    set(gui.handles.title_model_GUI, ...
+        'String', gui.handles.title_loadOverstiffnessSquared_model);
+    set(gui.handles.value_model_GUI, ...
+        'String', gui.handles.list_loadOverstiffnessSquared_model);
 elseif get(gui.handles.value_param2plotinyaxis_GUI , 'Value') == 4 || ...
         get(gui.handles.value_param2plotinyaxis_GUI , 'Value') == 5
     if get(gui.handles.value_numthinfilm_GUI, 'Value') == 2

diff --git a/matlab_code/gui/set_GUI.m b/matlab_code/gui/set_GUI.m
@@ -349,7 +349,8 @@
 % List for load-displacement models
 handles.title_load_disp_model = 'Load-Disp. Model';
 
-handles.list_load_disp_model = {'No_load_Disp_model',...
+handles.list_load_disp_model = {...
+    'No_model',...
     'Loubet', ...
     'Hainsworth'};
 
@@ -359,16 +360,25 @@
 % List for stiffness models
 handles.title_stiffness_model = 'Stiffness Model';
 
-handles.list_stiffness_model = {'No_stiffness_model',...
+handles.list_stiffness_model = {...
+    'No_model',...
     'Linear', ...
     '2nd degree polynomial'};
 
+% List for stiffness models
+handles.title_loadOverstiffnessSquared_model = 'Load/(Stiffness squared) Model';
+
+handles.list_loadOverstiffnessSquared_model = {....
+    'No_model',...
+    'Linear'};
+
 % Titles popup menus
 handles.title_bilayermodel = 'Bilayer Model';
 handles.title_multilayermodel = 'Multilayer Model';
 
 % List for elastic bilayer/multilayer models
-handles.list_bilayermodel = {'No_Bilayer_Model', ...
+handles.list_bilayermodel = {...
+    'No_Bilayer_Model', ...
     'Doerner&Nix',...
     'Doerner&Nix_King',...
     'Doerner&Nix_Saha',...
@@ -382,11 +392,13 @@
     'Mencik_etal._exponential',...
     'Mencik_etal._reciprocal_exp.'};
 
-handles.list_multilayermodel = {'No_Multilayer_Model', ...
+handles.list_multilayermodel = {...
+    'No_Multilayer_Model', ...
     'Mercier_etal.'};
 
 % List for plastic bilayer/multilayer models
-handles.list_bilayermodel_plastic = {'No_Model', ...
+handles.list_bilayermodel_plastic = {...
+    'No_Model', ...
     'Han_etal',...
     'Mercier_etal'};
 

diff --git a/matlab_code/model_loadOverstiffnessSquared.m b/matlab_code/model_loadOverstiffnessSquared.m
@@ -0,0 +1,25 @@
+%% Copyright 2014 MERCIER David
+function model_loadOverstiffnessSquared
+%% Function used to analyze load over stiffness squared
+gui = guidata(gcf);
+
+%% Fit of the (load over stiffness squared)-displacement curve
+if gui.variables.val2 == 2
+    % See also 'fitlm' function in Matlab for linear regression
+    polyCoeff = 1;
+    [Pfit Sfit] = polyfit(gui.data.h, (gui.data.P ./ (gui.data.S.^2)), polyCoeff);
+    gui.results.LS2_fit = Pfit(1).*gui.data.h + Pfit(2); % in mN/nm
+    gui.results.linear_fit = Pfit;
+    gui.results.residual = gui.results.LS2_fit - (gui.data.P ./ (gui.data.S.^2));
+    gui.results.rSquare = r_square((gui.data.P ./ (gui.data.S.^2)), ...
+        gui.results.LS2_fit);
+else
+    gui.results.linear_fit = [0 0 0];
+    gui.results.LS2_fit = 0;
+    gui.results.residual = 0;
+    gui.results.rSquare = 0;
+end
+
+guidata(gcf, gui);
+
+end
diff --git a/matlab_code/plot/plot_exp_vs_mod_setvariables.m b/matlab_code/plot/plot_exp_vs_mod_setvariables.m
@@ -98,8 +98,15 @@
     elseif gui.variables.y_axis == 3
         gui.axis.y2plot = gui.data.P ./ (gui.data.S.^2);
         gui.axis.delta_y2plot = gui.data.delta_P - 2*(gui.data.delta_S);
+        gui.axis.y2plot_2 = gui.results.LS2_fit;
         gui.axis.ylabelstr = 'Load oved Stiffness squared (1/GPa)';
         gui.axis.ymax = max(gui.axis.y2plot);
+        if gui.variables.val2 == 2
+            gui.axis.title_str = strcat('$L/S^2$ = (', ...
+                num2str(gui.results.linear_fit(1)), ')$h$ + (', ...
+                num2str(gui.results.linear_fit(2)), ')', ...
+                '/ $R^2 =$ ', num2str(gui.results.rSquare));
+        end
     elseif gui.variables.y_axis == 4
         gui.axis.y2plot = gui.results.Esample_red;
         gui.axis.delta_y2plot = 0;