Nonlinear Mechanics of Elastic Rods - Theoretical Basis of DNA Mechanics Model

Author: Liu Yanzhu
Publisher:
Publish Date: 2006-03-01
Features: The discussion object of this book is extremely slender elastic rods with large deformation. As the mechanical model of cables, ropes, drill pipes, and fibers, slender elastic rods have a broad engineering background. In recent years, the use of elastic slender rods as macroscopic mechanical models for DNA and other biological macromolecular chains has brought this classic mechanical problem back into focus. The integration of mechanics and molecular biology has formed a new interdisciplinary branch, where traditional mechanical research and molecular biology experimental research are combined to discuss the geometric morphology and stability of DNA and other biological macromolecular chains. This book systematically presents the nonlinear mechanics of highly deformed elastic slender rods. As a mechanics book, it does not involve biological content but pays attention to the connection between mechanical concepts and molecular biology. The book is divided into 7 chapters, including the differential geometry and topology of curves and curved rods, the establishment of equilibrium equations and analytical integrals for special cases, calculations of flexible lines, stability analysis, dynamic problems, and numerical computation issues, among others. The appendix provides mathematical and mechanical basic knowledge related to the main text. This book can serve as a graduate textbook or teaching reference for students in the fields of mechanics or molecular biology, and can also be used as a reference for researchers in related disciplines.