Numerical analyses of piezoceramic actuators for high temperature applications

Numerical Meth Engineering

2020

Self Cite

Peridynamics is a nonlocal theory which has been successfully applied to solid mechanics and crack propagation problems over the last decade. This methodology, however, may lead to large computational calculations which can soon become intractable for many problems of practical interest. In this context, a technique to couple-in a global/local sense-three-dimensional peridynamics with one-dimensional high-order finite elements based on classical elasticity is proposed. The refined finite elements employed in this work are based on the well-established Carrera Unified Formulation, which the previous literature has demonstrated to provide structural formulations with unprecedented accuracy and optimized computational efficiency. The coupling is realized by using Lagrange multipliers that guarantee versatility and physical consistency as shown by the numerical results, including the linear static analyses of solid and thin-walled beams as well as of a reinforced panel of aeronautic interest.

Section: Introductionmentioning

confidence: 99%

Coupling three‐dimensional peridynamics and high‐order one‐dimensional finite elements based on local elasticity for the linear static analysis of solid beams and thin‐walled reinforced structures

Pagani

Numerical Meth Engineering

2020

Self Cite

“…A variety of CUF-based refined models have been applied to the modeling of smart structures as presented by Carrera et al (2011) and Cinefra et al (2015). In addition, Miglioretti et al (2014) and Zappino et al (2016a) discussed refined electromechanical beam FE models with variable kinematics. Such type of refined beam elements can provide 3D modeling accuracy at significantly reduced computational costs.…”

Section: Introductionmentioning

confidence: 99%

Node-dependent kinematic elements for the dynamic analysis of beams with piezo-patches

Zappino

Journal of Intelligent Material Systems and Structures

2018

This article extends the use of one-dimensional elements with node-dependent kinematics to the dynamic analysis of beam structures with piezo-patches. Node-dependent kinematics allows the kinematic assumptions to be defined individually on each finite element node, leading to finite element models with variable nodal kinematics. Derived from Carrera unified formulation, node-dependent kinematics facilitates the mathematical refinement to an arbitrary order at any desirable region on the nodal level while keeping the compactness of the formulation. As an ideal approach to simulate structures with special local features, node-dependent kinematics has been employed to model piezo-patches in static cases. In this work, the application of node-dependent beam elements in dynamic problems is demonstrated. Node-dependent kinematics is applied to increase the numerical accuracy in the areas where the piezo-patches lie in through sufficiently refined models, while lower order assumptions are used elsewhere. The dissimilar constitutive relations of neighboring components are appropriately considered with layer-wise models. Both open- and short-circuit conditions are considered. The results are compared against those from literature. The numerical study shows that the adoption of node-dependent kinematics allows accurate results to be obtained at reduced computational costs.

“…Cinefra et al (2015a) adopted an axiomatic/asymptotic technique to detect the ‘best’ plate model to capture the static response of piezoelectric plates, in which the models are constructed by employing the principle of virtual displacements (PVD). Miglioretti et al (2014) and Zappino et al (2016) adopted refined electromechanical beam FEM models with variable kinematics in the analysis of structures with piezoelectric components, which are based on PVD. More systematic discussions and a variety of refined CUF-based models for the analysis of smart structures can be found in the study of Carrera et al (2011a).…”

Section: Introductionmentioning

confidence: 99%

Analysis of beams with piezo-patches by node-dependent kinematic finite element method models

Journal of Intelligent Material Systems and Structures

Zappino

2017

This article presents a family of one-dimensional finite element method models with node-dependent kinematics for the analysis of beam structures with piezo-patches. The models proposed are built by applying Carrera unified formulation. Carrera unified formulation permits to obtain finite element method stiffness matrices through so-called fundamental nuclei whose form is independent of the assumptions made for the displacement/electrical field over the cross section of a beam. In the previous works, uniform kinematic assumptions have been applied to all the nodes within the same element. The present contribution proposes to use different kinematics on different nodes, leading to node-dependent kinematic finite element method formulations. In such an approach, non-uniform cross sections introduced by piezo-patches can be considered. With the help of layer-wise models, piezoelectric and mechanical domains each can possess individual constitutive relations. Meanwhile, node-dependent kinematics can integrate equivalent single layer models and layer-wise models to reach an optimal balance between accuracy and use of computational resources. Static governing equations for beam elements with node-dependent kinematics accounting for electromechanical effects are derived from the principle of virtual displacements. The competence of the proposed approach is validated by comparing the obtained results with solutions taken from the literature and ABAQUS three-dimensional modelling. Both extension and shear actuation mechanisms are considered.