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142 lines
3.3 KiB
142 lines
3.3 KiB
%--------------------------
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% @Author: Jingqiao Hu
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% @Date: 2021-09-03 17:52:28
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% @LastEditTime: 2021-09-08 21:01:28
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% return the boolean representing the border-dofs for each micro-ele
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% the inner-dofs = 1 - bdofs
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%--------------------------
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function [bdofs, ib_dofs, ii_dofs] = expanded_micro_dofs(microx, edofMat_mi)
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bdofs = zeros(microx^2, 8);
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be = zeros(8);
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ib_dofs = zeros(8,8,microx^2);
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ii_dofs = zeros(8,8,microx^2);
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% left
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i = 1;
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for j = 2:microx-1
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bdofs_e = [1,2,7,8];
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idofs_e = setdiff(1:8, bdofs_e);
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ele = (i-1) * microx + j;
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bdofs(ele, bdofs_e) = 1;
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be(:) = 0; be(idofs_e, bdofs_e) = 1;
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ib_dofs(:,:,ele) = be;
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be(:) = 0; be(idofs_e, idofs_e) = 1;
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ii_dofs(:,:,ele) = be;
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end
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% right
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i = microx;
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for j = 2:microx-1
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bdofs_e = 3:6;
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idofs_e = setdiff(1:8, bdofs_e);
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ele = (i-1) * microx + j;
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bdofs(ele, bdofs_e) = 1;
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be(:) = 0; be(idofs_e, bdofs_e) = 1;
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ib_dofs(:,:,ele) = be;
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be(:) = 0; be(idofs_e, idofs_e) = 1;
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ii_dofs(:,:,ele) = be;
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end
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% up
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j = 1;
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for i = 2 : microx-1
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bdofs_e = 5:8;
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idofs_e = setdiff(1:8, bdofs_e);
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ele = (i-1) * microx + j;
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bdofs(ele, bdofs_e) = 1;
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be(:) = 0; be(idofs_e, bdofs_e) = 1;
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ib_dofs(:,:,ele) = be;
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be(:) = 0; be(idofs_e, idofs_e) = 1;
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ii_dofs(:,:,ele) = be;
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end
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% down
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j = microx;
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for i = 2 : microx-1
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bdofs_e = 1:4;
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idofs_e = setdiff(1:8, bdofs_e);
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ele = (i-1) * microx + j;
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bdofs(ele, bdofs_e) = 1;
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be(:) = 0; be(idofs_e, bdofs_e) = 1;
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ib_dofs(:,:,ele) = be;
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be(:) = 0; be(idofs_e, idofs_e) = 1;
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ii_dofs(:,:,ele) = be;
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end
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% left-up corner
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i = 1; j = 1; ele = (i-1) * microx + j;
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bdofs_e = [1,2,5,6,7,8];
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idofs_e = setdiff(1:8, bdofs_e);
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bdofs(ele, bdofs_e) = 1;
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be(:) = 0; be(idofs_e, bdofs_e) = 1;
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ib_dofs(:,:,ele) = be;
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be(:) = 0; be(idofs_e, idofs_e) = 1;
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ii_dofs(:,:,ele) = be;
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% left-down corner
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i = 1; j = microx; ele = (i-1) * microx + j;
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bdofs_e = [1,2,3,4,7,8];
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idofs_e = setdiff(1:8, bdofs_e);
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bdofs(ele, bdofs_e) = 1;
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be(:) = 0; be(idofs_e, bdofs_e) = 1;
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ib_dofs(:,:,ele) = be;
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be(:) = 0; be(idofs_e, idofs_e) = 1;
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ii_dofs(:,:,ele) = be;
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% right-up corner
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i = microx; j = 1; ele = (i-1) * microx + j;
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bdofs_e = 3:8;
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idofs_e = setdiff(1:8, bdofs_e);
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bdofs(ele, bdofs_e) = 1;
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be(:) = 0; be(idofs_e, bdofs_e) = 1;
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ib_dofs(:,:,ele) = be;
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be(:) = 0; be(idofs_e, idofs_e) = 1;
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ii_dofs(:,:,ele) = be;
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% right-down corner
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i = microx; j = microx; ele = (i-1) * microx + j;
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bdofs_e = 1:6;
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idofs_e = setdiff(1:8, bdofs_e);
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bdofs(ele, bdofs_e) = 1;
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be(:) = 0; be(idofs_e, bdofs_e) = 1;
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ib_dofs(:,:,ele) = be;
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be(:) = 0; be(idofs_e, idofs_e) = 1;
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ii_dofs(:,:,ele) = be;
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% inner
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for i = 2:microx-1
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for j = 2:microx-1
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ele = (i-1) * microx + j;
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ii_dofs(:,:,ele) = 1;
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end
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end
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bdofs = bdofs';
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end
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% % default value is 9, for the idofs or bdofs not in this micro-ele
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% bdofs = repmat(9, microx^2, 9);
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% idofs = repmat(1:9, microx^2, 1);
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