Modern computational mechanics

Author: Zhang Ruiqing
Publisher:
Publish Date: 2004-01-01
Features: This book aims to introduce the research achievements in computational mechanics over the past decade. It is divided into 10 chapters. Starting from a variable system, it focuses on dual variable systems, symplectic mathematics methods, vibration mechanics, and wave mechanics. From traditional displacement elements, it systematically introduces hybrid elements, quasi-coherent elements, incoherent elements, rational elements, meshfree elements, meshfree elements based on unit decomposition, meshfree elements based on finite coverage, and finite elements based on numerical homogenization methods. Based on uncertain variables, it highlights the perturbation stochastic finite element method and fuzzy finite element method. Based on parallel computers, it introduces parallel solution methods for linear and nonlinear equations, as well as parallel solution methods for EBE and SBS in mechanics. The final chapter discusses the application of neural networks in mechanics. The book emphasizes concise explanations of theories and methods, comprehensive analysis, and systematic presentation. It is suitable for senior undergraduate and graduate students, young teachers, and technical personnel in applied mechanics-related fields.