matlab code for finding nodal stress, strain from elemental stress, strain in finite eleement analysis

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satish 2024-2-3

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https://ww2.mathworks.cn/matlabcentral/answers/2077816-matlab-code-for-finding-nodal-stress-strain-from-elemental-stress-strain-in-finite-eleement-analys

重新打开： John D'Errico 2024-2-3

Problem: finite eleement analysis

Q8 8 node quadrilateral element with 8x8 mesh

calculated the elemental strain and stress for 4 gauss points

i want to calculate nodal strain and nodal stress

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satish 2024-2-3

Dyuman

below is the code but my shape fucntion size(1x8) and strain size(3x4)

but facing diffculty in multiplication.

can you check

% Assuming you have the following matrices:

% gaussStrains: Elemental strains (64 elements x 4 Gauss points x 8 nodes)

% N: Shape functions (8 nodes x 4 Gauss points)

% Number of nodes, Gauss points, and elements

numNodes = 8;

numGaussPoints = 4;

numElements = 64;

% Initialize matrix to store nodal strains for all elements

nodalStrains = zeros(numNodes, numElements);

% Transpose the shape functions matrix N for correct matrix multiplication

N_transposed = N';

% Loop over all elements

for elem = 1:numElements

% Loop over all nodes

for node = 1:numNodes

% Extract the shape functions for the current node

Ni = N_transposed(:, node);

% Extract the elemental strains for the current node

elementalStrains = squeeze(gaussStrains(elem, :, node));

% Interpolate the elemental strains to nodal strain

nodalStrains(node, elem) = Ni' * elementalStrains;

end

% Display the result

disp('Nodal strains for all elements:');

disp(nodalStrains);

Matt J 2024-2-3

Also, you should realize that not everyone who reads the post will recognize your terminology, and realize you are talking about finite element analysis. Adding suitable prefaces and tags to your post to indicate the subject matter can help draw a more knowledgeable audience.

satish 2024-2-3