FEM-Course-Matlab/17.接触问题matlab有限元编程/fem-contact/DiffShapeFun.m

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2024-01-28 16:46:36 +00:00
function Nst=DiffShapeFun(s,t)
% <EFBFBD><EFBFBD><EFBFBD><EFBFBD> s <EFBFBD><EFBFBD><EFBFBD><EFBFBD>
N1s=(s/4 - 1/4)*(t + 1) + ((t + 1)*(s - t + 1))/4;
N2s=-(s/4 - 1/4)*(t - 1) - ((t - 1)*(s + t + 1))/4;
N3s=((t - 1)*(t - s + 1))/4 - (s/4 + 1/4)*(t - 1);
N4s=(s/4 + 1/4)*(t + 1) + ((t + 1)*(s + t - 1))/4;
% <EFBFBD><EFBFBD><EFBFBD><EFBFBD> t <EFBFBD><EFBFBD><EFBFBD><EFBFBD>
N1t=(s/4 - 1/4)*(s - t + 1) - (s/4 - 1/4)*(t + 1);
N2t=-(s/4 - 1/4)*(t - 1) - (s/4 - 1/4)*(s + t + 1);
N3t=(s/4 + 1/4)*(t - s + 1) + (s/4 + 1/4)*(t - 1);
N4t=(s/4 + 1/4)*(t + 1) + (s/4 + 1/4)*(s + t - 1);
Nst=[N1s N1t;N2s N2t;N3s N3t;N4s N4t];
end