Finite Element Method

Author: Wang Xucheng
Publisher:
Publish Date: 2004-07-01
Features: This book can serve as a textbook for undergraduate and graduate students in fields such as mechanics, mechanical engineering, power engineering, aerospace, civil engineering, and water conservancy. It can also be used as a reference for faculty, engineers, and researchers in these disciplines. The book systematically elaborates on the fundamental principles, numerical methods, computer implementation, and applications of the finite element method in various problems of solid mechanics. The book is divided into two parts, totaling 17 chapters. Part 1 (Chapters 1-7) covers the fundamentals, including the theoretical foundation of the finite element method—weighted residual methods and variational principles; general principles and formulations of the finite element method for elastic mechanics problems; the construction of elements and interpolation functions; isoparametric elements and numerical integration; practical considerations in the application of the finite element method; solutions to systems of linear algebraic equations; and computer programs for the finite element method. Part 2 (Chapters 8-17) focuses on specialized topics, including structural mechanics problems (rods, plates, shells), field and dynamic problems, and nonlinear problems (material, geometric, contact). The book reflects the current level of development in both the academic and applied aspects of the finite element method, incorporating the long-term teaching experience of the author and the teaching and research team. Each chapter includes review questions and exercises. At the end of the book, there is a teaching program for computer practice used to solve different types of linear elastic problems.