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A reasonable shape function for the APT girder was proposed.
Thus, the question arises whether it is possible to encapsulate the complexity of the shape function construction process, while providing a simple interface to the shape function data.
The reproducing kernel (RK) shape function is employed to discretize both displacement and bulk density fields.
Proper formulation is presented to generate the shape function for each node in this element.
The analytical eigenvalue solutions for cantilever open channel beams are obtained through the transcendental shape function.
The integral equation is solved analytically by assuming an appropriate shape function for the beam deflection.
The theoretical approach for the calculation of the electrode shape function is described.
The Galerkin method was applied, the shape function being that governing the beam's natural vibrations.
The conditions of weak interfacial bonding or delamination are satisfied by choosing a shape function.
Moreover, many finite volume algorithms do not use the shape function reconstruction.
Then totally three kinds of numerical shape function are introduced in the proposed HMM.
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