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39 lines
1.2 KiB

%--------------------------
% @Author: Jingqiao Hu
% @Date: 2021-02-28 16:50:32
% @LastEditTime: 2021-03-02 09:56:36
%--------------------------
function K = stiffness_2scale_linear(dFdx, iK, jK, dx, global_u, global_l, vdofs_num)
nele = size(dFdx, 2);
jac = dx^3 / 8;
sK = zeros(vdofs_num^2, nele);
parfor ele_ma = 1:nele
u = global_u{ele_ma};
l = global_l{ele_ma};
% element stiffness
% tic
ke = 0;
for gp = 1:8
dFe = dFdx{gp, ele_ma}; % 9 * v * eleNum_mi
dP1 = dPdF_fast_linear(u, l, dFe); % 9, v, m
dPT = permute(dP1, [2,1,3]); % v, 9, m
dP2 = reshape(dPT, vdofs_num, []); % v, 9m
dF1 = permute(dFe, [2,1,3]); % v, 9m
dF2 = reshape(dF1, vdofs_num, [])'; % 9m * v
ke_g = dP2 * dF2; % v * v
% ke_g = sum(mtimesx(dPT, dFe), 3); % 24*24*m
ke = ke + ke_g * jac;
end
sK(:, ele_ma) = ke(:);
% toc
end
K = sparse(iK, jK, sK(:));
K = (K + K')/2;
end