Coherent structures in granular crystals : from experiment and modelling to computation and mathematical analysis /: from experiment and modelling to computation and mathematical analysis. (2018)

• Record Type: Book
• Further Information: Note: Christopher Chong, Panayotis G. Kevrekidis.
• Authors: Chong, Christopher; Kevrekidis, Panayotis G
• Contents: Intro; Preface; Acknowledgements; Contents; 1 Introduction and Motivation of Models; 1.1 Dynamics of Hertzian Beads; 1.2 The Linear Discrete Wave Equation; 1.3 The Nonlinear States: Dispersive Shock Waves, Traveling Solitary Waves, and Discrete Breathers; References; 2 Dispersive Shock Waves; 2.1 Overview; 2.2 Theoretical Analysis of Shock Waves; 2.3 Prototypical Numerical Computations; 2.4 Outlook; References; 3 Traveling Waves; 3.1 Overview; 3.2 Traveling Waves With Precompression: The KdV and Toda Limits; 3.3 Traveling Waves Without Precompression I: The Continuum Limit. 3.4 Traveling Waves Without Precompression II: Asymptotic and Numerically Exact ResultsReferences; 4 Discrete (Dark) Breathers; 4.1 Discrete Breathers: Overview and Theoretical Analysis; 4.2 Connection with Experimental Results; References; 5 Heterogeneous Media; 5.1 Overview; 5.2 Traveling Solitary Waves in Heterogeneous Chains; 5.3 From Isolated Defect Modes to Bright Breathers in Dimer Chains; References; 6 Media with Onsite Forces: The Newton's Cradle and Beyond; 6.1 Breathers in the Newton's Cradle; 6.2 Solitary Waves and Breathers in Locally Resonant Granular Chains; References. 7 Higher Dimensional Lattices7.1 Overview; 7.2 Conical Diffraction in the Hexagonal Packing; 7.3 Other Work in Higher Dimensional Lattices and Future Directions; References; Appendix; A.1 Numerical Computation of Traveling Solitary Waves and Their Stability; A.2 Numerical Computation of Breathers and Their Stability; A.3 Derivation of the Nonlinear Schrödinger Equation; References.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 620/.43; Physics; Granular materials -- Mechanical properties; Crystals -- Mechanical properties; TECHNOLOGY & ENGINEERING -- Engineering (General); TECHNOLOGY & ENGINEERING -- Reference; Granular materials -- Mechanical properties; Structural Materials; Mathematics -- Applied; Science -- Mathematical Physics; Technology & Engineering -- Material Science; Mathematical modelling; Mathematical physics; Maths for engineers; Materials science; Mathematical physics; Engineering mathematics; Materials; Science -- Mechanics -- Dynamics -- Fluid Dynamics; Materials / States of matter; Electronic books; Electronic book
• Languages: English
• ISBNs: 9783319778846; 3319778846
• Related ISBNs: 9783319778839; 3319778838
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed April 5, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.