Search results for "Mixed finite element method"
showing 3 items of 23 documents
A beam finite element for magneto-electro-elastic multilayered composite structures
2012
Abstract A new finite element based upon an elastic equivalent single-layer model for shear deformable and straight magneto-electro-elastic generally laminated beam is presented. The element has six degrees of freedom represented by the displacement components and the cross-section rotation of its two nodes. The magneto-electric boundary conditions enter the discrete problem as work-equivalent forces and moments while the electro-magnetic state characterization constitutes a post-processing step. The element possesses the superconvergence property for the static problem of beams with uniform cross-section and homogenous material properties along the beam axis direction. Moreover, it is free…
Finite element analysis in vertebrate palaeontology
2002
The Finite Element Analysis (FEA) is a numerical method which allows to analyse the static and dynamic behaviour of complex structures. A structure is substituted by a model consisting of a number of small, well-defined elements, each interconnected by nodes. Within the element attributes and material properties, the model can be exposed to static or dynamic loads. The displacements of the structure as the reaction to its loadings are calculated. Other data such as stress or strain at localized points in the structure are derived from these displacements. Originally developed for engineering, FEA soon was introduced to human medicine by modelling the behaviour of bone, teeth, cartilage and …
A smart composite-piezoelectric one-dimensional finite element model for vibration damping analysis
2015
A one-dimensional finite element method for generally layered smart beams is presented in this paper. The model implements the first-order shear deformation beam theory and is based on the preliminary analytical condensation of the electric state to the mechanical state. This allows us to establish an effective mechanical beam kinematically equivalent to the original smart beam including the effects of electro-elastic couplings. The contributions of the external electric loads are included in both the equivalent stiffness properties and the equivalent mechanical boundary conditions. Hermite shape functions, which depend on parameters representative of the staking sequence through the equiv…