First Order Ogden Stress Strain Plot
Hello,
I have the material constants mu and alpha to fit a first order ogden material model. Mu = 8000, alpha = 5.
I am trying to plot the stress strain curve. However, I would expect that the curve would intersect stress and strain at 0,0. Owing to the ogden formula, intersecting at 0,0 is not possible, which contradicts normal and expected material behaviour.
It would be great if someone could explain and help me understand where I am going wrong.
Thanks,
Tom
%%
close all;
clear all;
% Parameters
mu1 = 8000; % Shear modulus
alpha1 = 5; % Material parameter
% Strain range for compression
strain_comp = linspace(-1, 1, 1000); % From -0.5 to 0
% Stress calculation for compression
stress_comp = (mu1/alpha1) * (strain_comp.^alpha1 + strain_comp.^alpha1 + strain_comp.^alpha1 – 3);
% Plot compression
figure;
plot(strain_comp, stress_comp, ‘LineWidth’, 2);
xlabel(‘Strain (Compression)’);
ylabel(‘Stress’);
title(‘First Order Ogden Model – Compression’);
grid on;Hello,
I have the material constants mu and alpha to fit a first order ogden material model. Mu = 8000, alpha = 5.
I am trying to plot the stress strain curve. However, I would expect that the curve would intersect stress and strain at 0,0. Owing to the ogden formula, intersecting at 0,0 is not possible, which contradicts normal and expected material behaviour.
It would be great if someone could explain and help me understand where I am going wrong.
Thanks,
Tom
%%
close all;
clear all;
% Parameters
mu1 = 8000; % Shear modulus
alpha1 = 5; % Material parameter
% Strain range for compression
strain_comp = linspace(-1, 1, 1000); % From -0.5 to 0
% Stress calculation for compression
stress_comp = (mu1/alpha1) * (strain_comp.^alpha1 + strain_comp.^alpha1 + strain_comp.^alpha1 – 3);
% Plot compression
figure;
plot(strain_comp, stress_comp, ‘LineWidth’, 2);
xlabel(‘Strain (Compression)’);
ylabel(‘Stress’);
title(‘First Order Ogden Model – Compression’);
grid on; Hello,
I have the material constants mu and alpha to fit a first order ogden material model. Mu = 8000, alpha = 5.
I am trying to plot the stress strain curve. However, I would expect that the curve would intersect stress and strain at 0,0. Owing to the ogden formula, intersecting at 0,0 is not possible, which contradicts normal and expected material behaviour.
It would be great if someone could explain and help me understand where I am going wrong.
Thanks,
Tom
%%
close all;
clear all;
% Parameters
mu1 = 8000; % Shear modulus
alpha1 = 5; % Material parameter
% Strain range for compression
strain_comp = linspace(-1, 1, 1000); % From -0.5 to 0
% Stress calculation for compression
stress_comp = (mu1/alpha1) * (strain_comp.^alpha1 + strain_comp.^alpha1 + strain_comp.^alpha1 – 3);
% Plot compression
figure;
plot(strain_comp, stress_comp, ‘LineWidth’, 2);
xlabel(‘Strain (Compression)’);
ylabel(‘Stress’);
title(‘First Order Ogden Model – Compression’);
grid on; ogden, material behaviour, hyperelasticity, matlab MATLAB Answers — New Questions