You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
57 lines
1.7 KiB
57 lines
1.7 KiB
%--------------------------
|
|
% @Author: Jingqiao Hu
|
|
% @Date: 2021-12-07 09:13:42
|
|
% @LastEditTime: 2021-12-31 09:54:48
|
|
%--------------------------
|
|
function [dc, dv] = sensitivity_cvt_align(c_dH, c_interEles, area_cell, rho_cell, psi_cell, sK_cell, ...
|
|
edofMat, U, e0, e1, penal, area0)
|
|
|
|
ncvt = size(rho_cell, 1);
|
|
dc_local = cell(ncvt, 1);
|
|
|
|
% pn = 16; % p-norm for volume fraction
|
|
% dpnorm = 1/ncvt * (mean(v_local.^pn))^(1/pn-1) * (v_local.^(pn-1)); % [N, 1]
|
|
|
|
parfor ele = 1 : ncvt
|
|
%% compliance sensitivity
|
|
psi1 = psi_cell{ele}; % [6, 2v, m]
|
|
psi2 = permute(psi1, [2,1,3]); % [2v, 6, m]
|
|
nvdofs = size(psi2, 1);
|
|
|
|
sK0 = sK_cell{ele}; % [36, m]
|
|
rho = rho_cell{ele};
|
|
|
|
sK1 = sK0 .* (penal * rho(:)'.^(penal-1) * (e1 - e0));
|
|
sK2 = reshape(sK1, 6,6,[]); % [6,6,m]
|
|
|
|
Ke0 = mtimesx(mtimesx(psi2, sK2), psi1); % [2v,2v,m]
|
|
Ke1 = reshape(Ke0, nvdofs, []); % [2v, 2v*m]
|
|
|
|
edof = edofMat{ele};
|
|
ue = U(edof); % [2v,1]
|
|
|
|
dc1 = ue' * Ke1; % [1, 2v*m]
|
|
dc2 = reshape(dc1, nvdofs, [])'; % [m,2v]
|
|
dc_local{ele} = dc2 * ue; % [m, 1]
|
|
end
|
|
|
|
dcdp = zeros(ncvt, 3);
|
|
dvdp = zeros(ncvt, 3);
|
|
|
|
parfor i = 1 : ncvt
|
|
for j = 1:3
|
|
|
|
dH_ele = c_dH{i,j};
|
|
interEles = c_interEles{i,j};
|
|
nnb = length(interEles);
|
|
|
|
for k = 1 : nnb
|
|
ele = interEles(k);
|
|
dcdp(i, j) = dcdp(i, j) + sum(dc_local{ele} .* dH_ele{k});
|
|
dvdp(i, j) = dvdp(i, j) + sum(area_cell{ele} / area0 .* dH_ele{k});
|
|
end
|
|
end
|
|
end
|
|
dc = reshape(dcdp', [], 1); % TODO: NOT coorespond
|
|
dv = reshape(dvdp', [], 1);
|
|
end
|