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In each element, three field displacements (in-plane components) and (transverse component) along and x-z directions are considered. Nodal DOF chosen are grouped into three vectors as
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(18.4) |
where,
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(18.5) |
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(18.6) |
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(18.7) |
and etc. are the first order derivatives with respect to the node Similarly, etc. are the second order derivatives; denote the displacements along x and y direction at the centroid of the element. The in-plane displacement functions are assumed to be complete cubic polynomial such as
or,
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(18.8) |
where
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(18.9) |
and
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(18.10) |
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