Integrating a matrix with symbolic values

Question

Lars Smit 2018-10-24

0
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https://ww2.mathworks.cn/matlabcentral/answers/425897-integrating-a-matrix-with-symbolic-values

回答： Areej Varamban Kallan 2018-10-31

For a finite element method I have to perform a double integration to find the stiffness matrix. First using a function 'matrices' I set up the matrix 'stiffness'. This is an 8x8 matrix with the ymbolic values of 's' and 't' in it. I would then like to integrate w.r.t to both variables over a region of -1 to 1.

 D = E*[1,v,0;
    v,1,0;
    0,0,0.5*(1-v)];
 x6 = [0 1 2 0];
 y6 = [0 0 2 1];
 syms s
 syms t
 [J,A,M,B] = matrices(s,t,x6,y6);
 stiffness = te*transpose(B)*D*B*det(J);
 stuff = @(s,t) stiffness
K = integral2(stuff,-1,1,-1,1)