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Triangular and shell element stiffness matrices

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kuttw78

Structural
Mar 14, 2021
1
DE
I would like a reference that can give me the local stiffness matrix of a triangular shell element (membrane+bending). I am not interested in the theory behind that and would like to have just the stiffness matrix as a function of nodal coordinates and material data.
Moreover, I would also like the same for geometric non-linearity tangent stiffness matrix.

Are these anywhere so that I can save considerable time looking for them?
 
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Here's a stiffness matrix of a triangular shell element:

shell_stiffness_matrix_e2ccan.png


where: E – constitutive matrix, t – thickness, B – strain-displacement matrix, A – area, D - flexural rigidity matrix

You can find more details about this for example in the book written by O.C. Zienkiewicz ("The Finite Element Method Volume 2. Solid Mechanics") or the one written by R.D. Cook ("Concepts and Applications of Finite Element Analysis")
 
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