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%% Copyright 2014 MERCIER David
function nuc = composite_poissons_ratio(nus, nuf, phigao1, varargin)
%% This function gives a simple expression of the single apparent
% Poisson's ratio of the composite (film + substrate), which is function of
% the Poisson's ratio of the film, the Poisson's ratio of the substrate,
% and I1 the weighting function given by Gao et al. (1992)
% nus : Poisson's ratio of the substrate
% nuf : Poisson's ratio of the film
if nargin < 1
x = 0:0.1:100;
phigao1 = phi_gao_1(x);
nus = 0.4;
nuf = 0.2;
nuc = composite_poissons_ratio(nus, nuf, phigao1);
figure;
plot(x, nuc, 'b-', 'LineWidth', 2, 'MarkerSize', 10);
xlabel('x', 'Color', [0,0,0], 'FontSize', 14);
ylabel('\nu_c', 'Color', [0,0,0], 'FontSize', 14);
set(gca, 'FontSize', 14);
grid on;
save_figure(pwd, gca, '_PoissonsRatioComposite');
end
nuc = 1-(((1-nus)*(1-nuf)) ./ (1-(1-phigao1)*nuf-(phigao1*nus)));
end
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