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Liu covers the fast multipole BEM, brings together classical theories in BEM formulations and developments in the fast multipole method. Two- and three-dimensional potential, elastostatic, Stokes flow, and acoustic wave problems are covered. Appli...
We are currently witnessing a proliferation in parallel and distributed processing technologies and applications. However, more new technologies have ushered in unprecented challenges to the research community across the range of high-performance ...
"This book covers a wide range of engineering analyses using FEM with adequate theoretical background, illustrative examples, and detailed tutorials on using ANSYS Workbench for FEA. ... It covers both the theoretical and practical parts of FEM, which is very helpful to engineering students." -Anh-Vu Phan, Universtiy of South Alabama, Mobile, USA "The book is an excellent resource to introduce undergraduate and graduate engineering students to Finite Element Analysis. A great deal of emphasis is made on the finite element methods through simple application examples. ...The main thing that I like about this book is that the author has presented the material using ANSYS Workbench. For undergraduate students who are considered beginners with FE, this is the ideal software to use. The examples are simple and clear and the ANSYS Workbench Case Studies are good applications of the techniques." -Dr. Mohammad H. Alimi, California State University, Fresno, USA "This book should be a great resource for engineers or senior undergraduate students who want to learn FEA and use ANSYS themselves, and therefore can be adopted as a textbook for senior undergraduate students in engineering when introducing FEA." -Ernian Pan, University of Akron, Ohio, USA "This is the textbook I have long been looking for in my teaching of finite element analysis to undergraduate students. Teaching an undergraduate level finite element course is challenging due to the amount of mathematics and physics involved as well as the FEM's vast applications in engineering, design and optimization. Very often, students are overwhelmed or discouraged by the theoretical and mathematical content of the course and, therefore, have difficulty or reluctance in utilizing the method in their engineering analysis and design. The balance of the FEM's theoretical foundation and its application in engineering practice is achieved in an elegant way in this book." -Gang Li, Department of Mechanical Engineering, Clemson University, South Carolina, USA "Even though there are plenty of FEA books published, this one is really the textbook you need for the first FEA courses offered at 4-year universities. The theory and methodology parts are excellent, and the "Case Studies with ANSYS Workbench" sections at the end of every chapter are outstanding. With those case studies, the study of this course will become a joy instead of hard work." -Daming Zhang, California State University, Fresno, USA
Dr. Xiaolin Chen is an associate professor of mechanical engineering and director of the computer-aided engineering (CAE) research laboratory at the Washington State University Vancouver. She received her BS in engineering mechanics from Shanghai Jiao Tong University, MS in mechanical design and theory from the State Key Laboratory of Mechanical System and Vibration affiliated with Shanghai Jiao Tong University, and her PhD in mechanical engineering from the University of Cincinnati. Her research interests include computational methods in solid mechanics, finite element analysis, boundary element analysis, reduced order modeling for dynamic systems, multiphysics phenomena and coupled-field problems, inverse problems, and regularization techniques. Dr. Yijun Liu is a professor of mechanical engineering at the University of Cincinnati. He obtained his BS and MS in aerospace engineering from Northwestern Polytechnical University (China), and his PhD in theoretical and applied mechanics from the University of Illinois at Urbana-Champaign. Prior to joining the faculty, he conducted postdoctoral research at the Center of Nondestructive Evaluation of Iowa State University and worked at Ford Motor Company as a CAE analyst. Dr. Liu's interests are in computational mechanics, finite element method, boundary element method, and fast multipole method in modeling composite materials, fracture, fatigue, structural dynamics, and acoustics problems.
Introduction Some Basic Concepts An Example in FEA: Spring System Overview of ANSYS Workbench Summary Problems Bars and Trusses Introduction Review of the 1-D Elasticity Theory Modeling of Trusses Formulation of the Bar Element Examples with Bar Elements Case Study with ANSYS Workbench Summary Problems Beams and Frames Introduction Review of the Beam Theory Modeling of Beams and Frames Formulation of the Beam Element Examples with Beam Elements Case Study with ANSYS Workbench Summary Problems Two-Dimensional Elasticity Introduction Review of 2-D Elasticity Theory Modeling of 2-D Elasticity Problems Formulation of the Plane Stress/Strain Element Case Study with ANSYS Workbench Summary Problems Modeling and Solution Techniques Introduction Symmetry Substructures (Superelements) Equation Solving Nature of Finite Element Solutions Convergence of FEA Solutions Adaptivity (h-, p-, and hp-Methods) Case Study with ANSYS Workbench Summary Problems Plate and Shell Analyses Introduction Review of Plate Theory Modeling of Plates and Shells Formulation of the Plate and Shell Elements Case Studies with ANSYS Workbench Summary Problems Three-Dimensional Elasticity Introduction Review of Theory of Elasticity Modeling of 3-D Elastic Structures Formulation of Solid Elements Case Studies with ANSYS Workbench Summary Problems Structural Vibration and Dynamics Introduction Review of Basic Equations Formulation for Modal Analysis Formulation for Frequency Response Analysis Formulation for Transient Response Analysis Modeling Examples Case Studies with ANSYS Workbench Summary Problems Thermal Analysis Introduction Review of Basic Equations Modeling of Thermal Problems Case Studies with ANSYS Workbench Summary Problems Introduction to Fluid Analysis Introduction Review of Basic Equations Modeling of Fluid Flow Case Studies with ANSYS Workbench Summary Problems Design Optimization Introduction Topology Optimization Parametric Optimization Design Space Exploration for Parametric Optimization Case Studies with ANSYS Workbench Summary Problems Failure Analysis Introduction Static Failure Fatigue Failure Buckling Failure Case Studies with ANSYS Workbench Summary Problems Appendix Photo Credits References Index