Acoustic displacement tetrahedra developed using the IET rules
Fecha
2010-09-01
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PERGAMON-ELSEVIER SCIENCE LTD
Resumen
A four node, displacement based, acoustic element is developed. In order to avoid spurious rotational modes, a higher order stiffness is introduced. The higher order stiffness is developed from an incompatible strain field which computes element volume changes under nodal rotational displacements fields. The higher order strain satisfies the IET requirements, non affecting convergence. The higher order stiffness is modulated, element by element, with a factor. Thus, the displacement based formulation is capable of placing the spurious rotational modes over the range of physical compressional modes that can be accurately captured by the mesh. © 2010 Elsevier Ltd. All rights reserved.
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Acoustic elements, Compressional mode, Element by elements, Element volume, Higher order, Parameterized, Rotational displacements, Rotational modes, Spurious modes, Strain fields, Variational principles, Stiffness, Variational techniques, Fluid structure interaction