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44 lines
1.3 KiB

%--------------------------
% @Author: Jingqiao Hu
% @Date: 2021-02-22 13:20:56
% @LastEditTime: 2021-08-24 16:37:34
%--------------------------
function K = multi_stiffness_linear(dFdx, iK, jK, dx, global_u, global_l, lenout, D1, rho_cell)
eleNum = size(dFdx, 2);
jac = dx^2/4;
sK = zeros(lenout^2, eleNum);
for ele_ma = 1:eleNum
% tic
u = global_u{ele_ma};
l = global_l{ele_ma};
rho_e = rho_cell{ele_ma}(:); % m,1
tmp = speye(length(rho_e)) .* rho_e; % m,m
D = kron(tmp, D1);
% element stiffness
ke = 0;
for gp = 1:4
dFe = dFdx{gp, ele_ma}; % 4 * lenout * eleNum_mi
% dP1 = dPdF_fast_linear(u, l, dFe); % 4 * l * m
% dPT = permute(dP1, [2,1,3]); % l * 4 * m
% dP2 = reshape(dPT, lenout, []); % l * 4m
dF1 = permute(dFe, [2,1,3]); % l * 4 * eleNum_mi
dF2 = reshape(dF1, lenout, [])'; % 4m * l
ke_g = dF2' * D * dF2; % lenout * lenout
% ke_g = dP2 * dF2; % lenout * lenout
ke = ke + ke_g * jac;
end
% toc
sK(:, ele_ma) = ke(:);
end
K = sparse(iK, jK, sK);
K = (K + K')/2;
end