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Structural Engineering and Mechanics Volume 92, Number 3, November10 2024 , pages 245-256 DOI: https://doi.org/10.12989/sem.2024.92.3.245 |
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Curved hexahedral hybrid-mixed stress elements for structural dynamics |
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Eliseu Lucena Neto, Flávio Luiz de Silva Bussamra, Giorgio Paciarotti and Felipe Rodrigo Cardoso
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| Abstract | ||
| Curved hexahedral finite elements based on the hybrid-mixed stress formulation are proposed for structural dynamic analysis of three-dimensional solids. The stress and displacement in the domain of an element and the displacement on its boundary are simultaneously and independently approximated using sets of complete and linearly independent non-nodal Legendre polynomials. The element geometry is given in terms of its corner and mid-edge points using the same interpolation functions of the traditional isoparametric 20-node brick element. Symmetric, highly sparse and well conditioned solving systems are obtained. Numerical tests are carried out using h- and p-refinements to assess the behavior of these new hexahedrons. | ||
| Key Words | ||
| curved hexahedral; finite element; hybrid-mixed; structural dynamics; vibration | ||
| Address | ||
| Eliseu Lucena Neto, Flávio Luiz de Silva Bussamra: Instituto Tecnológico de Aeronáutica, São José dos Campos, SP, 12228-900, Brazil Giorgio Paciarotti: Capgemini Engineering, Munich, 81829, Germany Felipe Rodrigo Cardoso: Empresa Brasileira de Aeronáutica, São José dos Campos, SP, 12227-901, Brazil | ||