报告主题：An Isoparametric Concept for the Implementation of the Scaled Boundary Finite Element Method on Polygons and Polyhedrals
报告人：Ooi Ean Tat 教授（澳大利亚联邦大学）
报告时间：2025年10月29日（周三）14：00
报告地点：河海大学（江宁校区）乐学楼327
主办单位：力学与工程科学学院动力学与控制研究所
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报告简介：
A generalisation of the isoparametric concept to construct scaled boundary finite element interpolation functions is presented. A family of parent elements is defined. In 2D, the set of parent elements are constructed from a defined set of generic polygonal geometries and because of the flexibility of the SBFEM to model star-convex polygons of arbitrary number of sides, the family of parent elements can be extended straightforwardly. In 3D, the set of parent elements are restricted by the capability of the mesh generator adopted. For each individual parent element defined, the scaled boundary finite element’s solution to Laplace’s equation is calculated to construct the interpolation functions. Similar to the standard isoparametric applied in the finite element method, polygonal (2D) and polyhedral (3D) elements in physical space are mapped to their corresponding parent element. Integration schemes in 2D and 3D are developed to effectively integrate each triangular (2D) or pyramidal (3D) sector forming a polygon or polyhedral element. This isoparametric concept retains the use of standard procedures of the finite element method, including its ability to incorporate geometric and material nonlinearities. We demonstrate the application of the developed formulation to finite strain elasticity problems. Several numerical benchmark problems considering these aspects are used to validate the feasibility and demonstrate the advantages of the method.
报告人简介：
Dr. Ooi Ean Tat is Professor in Civil and Mechanical Engineering at the Institute of Innovation, Science and Sustainability in Federation University Australia. He obtained his PhD in Mechanical Engineering from Nanyang Technological University in 2006 and completed postdoctoral research training at Nanyang Technological University, the National University of Singapore, the University of Liverpool, and the University of New South Wales. His research in computational mechanics focuses on advancing the Scaled Boundary Finite Element Method (SBFEM), transforming it into a versatile tool for engineering and scientific applications. Key innovations include polyhedral-, polygonal- and quadtree-scaled boundary methods and a generalized SBFEM formulation for nonlinear and multi-physics problems.
