Calculation of solid mechanics methods

Author: Wu Yongli
Publisher:
Publish Date: 2003-04-01
Features: This book is one of the "Graduate Teaching Series of the Chinese Academy of Sciences." It introduces four numerical computation methods widely studied and applied in computational solid and structural mechanics: the finite element method (FEM), the weighted residual method, the boundary element method (BEM), and the meshfree method. The book systematically discusses the theoretical foundations and corresponding discretization methods of these four methods. It provides a detailed introduction to the finite element method: the relationship between the finite element method and variational principles, various types of finite elements, finite element solutions for material nonlinearity and geometric nonlinearity problems, solution methods for algebraic equations of the finite element method, and finite element solutions for dynamic problems. It is hoped that by reading this book, readers will gain a comprehensive understanding of computational solid mechanics knowledge and be able to find the corresponding computational methods when encountering solid and structural mechanics problems.