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37 lines
995 B
37 lines
995 B
%--------------------------
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% @Author: Jingqiao Hu
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% @Date: 2020-11-28 21:07:50
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% @LastEditTime: 2020-11-28 21:49:42
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%--------------------------
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function f = elastic_force_linear(F, dF, nodeNum, edofMat, lx, u, l)
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f = zeros(nodeNum*2, 1);
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jac = lx^2/4;
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eleNum = size(edofMat,1);
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for gp = 1:4
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dFe = dF{gp}; % 4 * 8 * m
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Fe = F{gp, 1}; % 4 * m
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P2(1, :, :) = PK1_fast_linear(u, l, Fe); % 4 * m
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fe = squeeze(mtimesx(P2, dFe)) * jac; % 8*m
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for ele = 1:eleNum
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edof = edofMat(ele, :);
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f(edof) = f(edof) - fe(:, ele); % NOTE: MINUS!
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end
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end
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end
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% I = eye(2,2);
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% PP = u*(F + F'-2*I) + l * trace(F-I) * I;
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function P = PK1_fast_linear(u, l, F)
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m = size(F,2);
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FT = F([1,3,2,4], :); % 4*m
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trF = F(1,:) + F(4,:) - 2; % 1*m
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I = repmat([1;0;0;1], 1, m); % 4*m
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P = u(:)' .* (F + FT - 2*I) + l(:)' .* trF .* I;
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end
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