報告題目：The Node Dependent Kinematics to Mix Finite Element and Theory of Structure Approximations 

報告人： Prof. Erasmo Carrera / Politecnico di Torino, Italy

報告時間：2019年10月22日（周二）下午 15:00 

報告地點：明故宮校區A18-526

主辦單位：航空學院、機械結構力學及控制國家重點實驗室、國際合作處

報告簡介：

Theory of structures ToS introduces approximations over the beam sections (two-directions) and along the thickness (one-direction) in case of plates/shells. Finite element FE introduces approximations along the beam axes (one-direction) and over the plate/shell reference surfaces (two-directions). Node Depended Kinematics NDK is a manner to mix FE and ToS approximations. These elements have the capabilities to assume a different kinematic at each node of a beam/plate/shell elements, that is, the kinematic assumptions can be continuously modified at the element nodes. Based on Carrera Unified Formulation (CUF), the approximation of displacement functions of finite elements can be improved by refining the through-the-thickness assumptions and enriching the shape functions. Node-Dependent Kinematics (NDK) is also utilized to implement local kinematic refinements on the selected FE nodes within the domain of interest. The competence of the proposed approach is investigated through numerical studies on laminated structures, multifield problems and rotors. NDK vs Artificial Intelligence is discussed and some plug-in with commercial software are presented as well. Some guidelines on the choice of the best-generalized variables for high-fidelity, and low cost with a particular focus on multifield and perspectives on machine learning assisted structural analyses.

報告人簡介： 

Erasmo Carrera is Professor of Aerospace Structures and Aeroelasticity at Politecnico di Torino, Italy, where he graduated in Aeronautics, 1986, and Space Engineering, 1988. He earned a Ph.D. in Aerospace Engineering in 1991. Carrera has introduced the Reissner Mixed Variational Theorem, RMVT, as a natural extension of the Principle of Virtual Displacement (PVD) for layered structure analysis. He introduced the Unified Formulation, or CUF (Carrera Unified Formulation), as a new framework to develop linear and nonlinear theories of beams, plates, and shells for metallic and composite multilayered structures under mechanical, thermal electrical and magnetic loadings. Carrera is author and coauthor of about 800 papers and a few recent books. He is founder and leader of the MUL2 group at Politecnico di Torino. The MUL2 group has six staff members and some 15 grad students or Post-Docs with a project portfolio of some ten active projects funded by the European Commission, the Italian government, Politecnico di Torino and industrial partners such as Embraer.

Main awards and roles: Highly Cited Researchers (Top 100 Scientist) by Thompson Reuters in two sections - Engineering and Materials (2013) and Engineering (2015); Editor-in-Chief of Mechanics of Advanced Materials and Structures; Founder and Editor-in-Chief  of Advanced in Aircraft and Spacecraft Sciences; Member of Accademia delle Scienze di Torino, founded by Lagrange et alii; President of A.I.D.A.A. (Associazione Italiana di Aeronautica ed Astronautica).