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57 lines
1.7 KiB
57 lines
1.7 KiB
3 years ago
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% @Author: Jingqiao Hu
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% @Date: 2021-12-07 09:13:42
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% @LastEditTime: 2021-12-31 09:54:48
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%--------------------------
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function [dc, dv] = sensitivity_cvt_align(c_dH, c_interEles, area_cell, rho_cell, psi_cell, sK_cell, ...
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edofMat, U, e0, e1, penal, area0)
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ncvt = size(rho_cell, 1);
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dc_local = cell(ncvt, 1);
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% pn = 16; % p-norm for volume fraction
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% dpnorm = 1/ncvt * (mean(v_local.^pn))^(1/pn-1) * (v_local.^(pn-1)); % [N, 1]
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parfor ele = 1 : ncvt
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%% compliance sensitivity
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psi1 = psi_cell{ele}; % [6, 2v, m]
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psi2 = permute(psi1, [2,1,3]); % [2v, 6, m]
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nvdofs = size(psi2, 1);
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sK0 = sK_cell{ele}; % [36, m]
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rho = rho_cell{ele};
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sK1 = sK0 .* (penal * rho(:)'.^(penal-1) * (e1 - e0));
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sK2 = reshape(sK1, 6,6,[]); % [6,6,m]
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Ke0 = mtimesx(mtimesx(psi2, sK2), psi1); % [2v,2v,m]
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Ke1 = reshape(Ke0, nvdofs, []); % [2v, 2v*m]
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edof = edofMat{ele};
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ue = U(edof); % [2v,1]
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dc1 = ue' * Ke1; % [1, 2v*m]
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dc2 = reshape(dc1, nvdofs, [])'; % [m,2v]
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dc_local{ele} = dc2 * ue; % [m, 1]
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end
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dcdp = zeros(ncvt, 3);
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dvdp = zeros(ncvt, 3);
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parfor i = 1 : ncvt
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for j = 1:3
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dH_ele = c_dH{i,j};
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interEles = c_interEles{i,j};
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nnb = length(interEles);
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for k = 1 : nnb
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ele = interEles(k);
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dcdp(i, j) = dcdp(i, j) + sum(dc_local{ele} .* dH_ele{k});
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dvdp(i, j) = dvdp(i, j) + sum(area_cell{ele} / area0 .* dH_ele{k});
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end
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end
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end
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dc = reshape(dcdp', [], 1); % TODO: NOT coorespond
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dv = reshape(dvdp', [], 1);
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end
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