Computational methods for the modeling and simulation of the dynamic response and behavior of particles, materials and structural systems have had a profound influence on science, engineering and technology. Complex science and engineering applications dealing with complicated structural geometries and materials that would be very difficult to treat using analytical methods have been successfully simulated using computational tools. With the incorporation of quantum, molecular and biological mechanics into new models, these methods are poised to play an even bigger role in the future.
Advances in Computational Dynamics of Particles, Materials and Structures not only presents emerging trends and cutting edge state-of-the-art tools in a contemporary setting, but also provides a unique blend of classical and new and innovative theoretical and computational aspects covering both particle dynamics, and flexible continuum structural dynamics applications.ย It provides a unified viewpoint and encompasses the classical Newtonian, Lagrangian, and Hamiltonian mechanics frameworks as well as new and alternative contemporary approaches and their equivalences in [start italics]vector and scalar formalisms[end italics] to address the various problems in engineering sciences and physics.
Highlights and key features
- ย Provides practical applications, from a unified perspective, to both particle andย continuum mechanics of flexible structures and materials
- Presents new and traditional developments, as well as alternate perspectives, forย space and time discretizationย
- Describes a unified viewpoint under the umbrella of Algorithms by Design for theย class of linear multi-step methods
- Includes fundamentals underlying the theoretical aspects and numericalย developments, illustrative applications and practice exercises
The completeness and breadth and depth of coverage makes Advances in Computational Dynamics of Particles, Materials and Structures a valuable textbook and reference for graduate students, researchers and engineers/scientists working in the field of computational mechanics; and in the general areas of computational sciences and engineering.
Content:
Chapter One Introduction (pages 1โ14):
Chapter Two Mathematical Preliminaries (pages 15โ54):
Chapter Three Classical Mechanics (pages 55โ107):
Chapter Four Principle of Virtual Work (pages 108โ120):
Chapter Five Hamilton's Principle and Hamilton's Law of Varying Action (pages 121โ140):
Chapter Six Principle of Balance of Mechanical Energy (pages 141โ162):
Chapter Seven Equivalence of Equations (pages 163โ172):
Chapter Eight Continuum Mechanics (pages 173โ266):
Chapter Nine Principle of Virtual Work: Finite Elements and Solid/Structural Mechanics (pages 267โ363):
Chapter Ten Hamilton's Principle and Hamilton's Law of Varying Action: Finite Elements and Solid/Structural Mechanics (pages 364โ425):
Chapter Eleven Principle of Balance of Mechanical Energy: Finite Elements and Solid/Structural Mechanics (pages 426โ474):
Chapter Twelve Equivalence of Equations (pages 475โ491):
Chapter Thirteen Time Discretization of Equations of Motion: Overview and Conventional Practices (pages 493โ552):
Chapter Fourteen Time Discretization of Equations of Motion: Recent Advances (pages 553โ668):