Nonlinear Mechanics of Elastic Rods: The Theoretical Basis of the DNA Mechanics Model

Author: Liu Yanzhu
Publisher:
Publishing Time: Not available
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 wide range of engineering backgrounds. In recent years, the use of elastic slender rods as macroscopic mechanical models for DNA and other biopolymer chains in the field of molecular biology 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 is combined with molecular biology experimental studies to discuss the geometric morphology and stability of biopolymer chains such as DNA. This book systematically presents the nonlinear mechanics of highly deformed elastic slender rods. As a mechanics book, it does not involve biological content but emphasizes the connection between mechanical concepts and molecular biology. The book is divided into 7 chapters, including differential geometry and topology of curves and curved rods, the establishment of equilibrium equations and analytical integrals in special cases, calculations of flexible lines, stability analysis, dynamic problems, and numerical computation issues, among others. The appendix provides mathematical and mechanical foundations 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, as well as a reference for researchers in related disciplines.