Abstract

This talk plans to provide an overview on meshfree and element-based methods established using strong, week and weakened weak (W2) formulations. The focus will be on the latest W2 formulation that guarantees stable and convergent solutions. Studies on the comparisons of W2 formulations with the strong and weak formulations will be presented. We will present a family of W2 models known as S-PIM and S-FEM developed in the recent years. Properties of this class of methods important for automations in computation will be discussed including, spatial and temporal stability and convergence, softening effects induced by various types of smoothing domains, upper bound properties leading to certified solutions real-time computational models, and insensitivity to the quality of mesh allowing effective uses of triangular/tetrahedral meshes, which are best suited for adaptive analyses. For CFD problems, the gradient smoothing methods (GSM) will be briefly introduced. Application examples will also be presented for simulating engineered material behavior at various extreme situations, fluid structural interaction problems (helicopter blades interacting with subsonic airflows, flying birds, etc.), cracks in engineering aerospace structural systems, crystal plasticity for metallic polycrystalline used in jet engines, integrity assessment of systems via inverse analysis with real-time computation., and additive manufacturing processes.

Biography：

Prof. Liu received PhD from Tohoku University, Japan in 1991. He was a PDF at Northwestern University, USA from 1991-1993. He is currently a Professor and Ohio Eminent Scholar (State Endowed Chair) at the University of Cincinnati.  He served as the School Faculty Chair at the School of Aerospace Systems, University of Cincinnati; the Director of the Centre for Advanced Computations in Engineering Science (ACES), National University of Singapore. He was the President of the Asia-Pacific Association for Computational Methods, and now an Executive Council member of the International Association for Computational Mechanics. He authored a large number of journal papers and books including two bestsellers: “Mesh Free Method: moving beyond the finite element method” and “Smoothed Particle Hydrodynamics: a Meshfree Particle Methods.”  He is the Editor-in-Chief of the International Journal of Computational Methods, Associate Editor of IPSE and MANO. He is the recipient of numerous awards, including the Singapore Defence Technology Prize, NUS Outstanding University Researcher Award and Best Teacher Award, APACM Computational MechanicsAwards, JSME Computational Mechanics Awards, ASME Ted Belytschko Applied Mechanics Award, and Zienkiewicz Medal from APACM. He is listed as a world top 1% most influential scientist (Highly Cited Researchers) by ThomsonReuters in 2014, 2015 and 2016.

欢迎广大师生光临！