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Rotation-free triangular plate and shell elements. (English) Zbl 0968.74070
Summary: The paper describes how the finite element method and the finite volume method can be successfully combined to derive two new families of thin plate and shell triangles with translational degrees of freedom as the only nodal variables. We present in detail the simplest elements of the two families based on combining a linear interpolation of displacements with cell-centred and cell-vertex finite volume schemes. Examples of good performance of new rotation-free plate and shell triangles are given.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74S10 Finite volume methods applied to problems in solid mechanics
74K25 Shells
74K20 Plates
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