Mathematical Modelling of Waves in Multi-Scale Structured Media

Mathematical Modelling of Waves in Multi-Scale Structured Media
Author: Alexander B. Movchan
Publisher: CRC Press
Total Pages: 317
Release: 2017-11-09
Genre: Mathematics
ISBN: 1351651420

Download Mathematical Modelling of Waves in Multi-Scale Structured Media Book in PDF, Epub and Kindle

Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic, phononic, and platonic crystals.

Linear and Nonlinear Waves in Microstructured Solids

Linear and Nonlinear Waves in Microstructured Solids
Author: Igor V. Andrianov
Publisher: CRC Press
Total Pages: 251
Release: 2021-04-22
Genre: Technology & Engineering
ISBN: 1000372197

Download Linear and Nonlinear Waves in Microstructured Solids Book in PDF, Epub and Kindle

This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials. Presenting original solutions to common issues within mechanics, this book builds upon years of research to demonstrate the benefits of implementing asymptotic techniques within mechanical engineering and material science. Focusing on linear and nonlinear wave phenomena in complex micro-structured solids, the book determines their global characteristics through analysis of their internal structure, using homogenization and asymptotic procedures, in line with the latest thinking within the field. The book’s cutting-edge methodology can be applied to optimal design, non-destructive control and in deep seismic sounding, providing a valuable alternative to widely used numerical methods. Using case studies, the book covers topics such as elastic waves in nonhomogeneous materials, regular and chaotic dynamics based on continualisation and discretization and vibration localization in 1D Linear and Nonlinear lattices. The book will be of interest to students, research engineers, and professionals specialising in mathematics and physics as well as mechanical and civil engineering.

Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications

Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications
Author: Daniele Bertaccini
Publisher: CRC Press
Total Pages: 375
Release: 2018-02-19
Genre: Mathematics
ISBN: 1498764177

Download Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications Book in PDF, Epub and Kindle

This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.

Questions About Elastic Waves

Questions About Elastic Waves
Author: Jüri Engelbrecht
Publisher: Springer
Total Pages: 205
Release: 2015-03-05
Genre: Mathematics
ISBN: 3319147919

Download Questions About Elastic Waves Book in PDF, Epub and Kindle

This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers. The questions follow the analytical sequence from elementary understandings to complicated cases, following a step-by-step path towards increased knowledge. The focus is on waves in elastic solids, although some examples also concern non-conservative cases for the sake of completeness. Special attention is paid to the understanding of the influence of microstructure, nonlinearity and internal variables in continua. With the help of many mathematical models for describing waves, physical phenomena concerning wave dispersion, nonlinear effects, emergence of solitary waves, scales and hierarchies of waves as well as the governing physical parameters are analysed. Also, the energy balance in waves and non-conservative models with energy influx are discussed. Finally, all answers are interwoven into the canvas of complexity.

Handbook of Numerical Methods for Hyperbolic Problems

Handbook of Numerical Methods for Hyperbolic Problems
Author: Remi Abgrall
Publisher: Elsevier
Total Pages: 612
Release: 2017-01-16
Genre: Mathematics
ISBN: 044463911X

Download Handbook of Numerical Methods for Hyperbolic Problems Book in PDF, Epub and Kindle

Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and become familiar with their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage

Handbook of Mathematical Techniques for Wave/Structure Interactions

Handbook of Mathematical Techniques for Wave/Structure Interactions
Author: C.M. Linton
Publisher: CRC Press
Total Pages: 317
Release: 2001-02-26
Genre: Mathematics
ISBN: 1420036068

Download Handbook of Mathematical Techniques for Wave/Structure Interactions Book in PDF, Epub and Kindle

Although a wide range of mathematical techniques can apply to solving problems involving the interaction of waves with structures, few texts discuss those techniques within that context-most often they are presented without reference to any applications. Handbook of Mathematical Techniques for Wave/Structure Interactions brings together some of the

Advances in Engineering Materials, Structures and Systems: Innovations, Mechanics and Applications

Advances in Engineering Materials, Structures and Systems: Innovations, Mechanics and Applications
Author: Alphose Zingoni
Publisher: CRC Press
Total Pages: 2435
Release: 2019-08-21
Genre: Technology & Engineering
ISBN: 0429761163

Download Advances in Engineering Materials, Structures and Systems: Innovations, Mechanics and Applications Book in PDF, Epub and Kindle

Advances in Engineering Materials, Structures and Systems: Innovations, Mechanics and Applications comprises 411 papers that were presented at SEMC 2019, the Seventh International Conference on Structural Engineering, Mechanics and Computation, held in Cape Town, South Africa, from 2 to 4 September 2019. The subject matter reflects the broad scope of SEMC conferences, and covers a wide variety of engineering materials (both traditional and innovative) and many types of structures. The many topics featured in these Proceedings can be classified into six broad categories that deal with: (i) the mechanics of materials and fluids (elasticity, plasticity, flow through porous media, fluid dynamics, fracture, fatigue, damage, delamination, corrosion, bond, creep, shrinkage, etc); (ii) the mechanics of structures and systems (structural dynamics, vibration, seismic response, soil-structure interaction, fluid-structure interaction, response to blast and impact, response to fire, structural stability, buckling, collapse behaviour); (iii) the numerical modelling and experimental testing of materials and structures (numerical methods, simulation techniques, multi-scale modelling, computational modelling, laboratory testing, field testing, experimental measurements); (iv) innovations and special structures (nanostructures, adaptive structures, smart structures, composite structures, bio-inspired structures, shell structures, membranes, space structures, lightweight structures, long-span structures, tall buildings, wind turbines, etc); (v) design in traditional engineering materials (steel, concrete, steel-concrete composite, aluminium, masonry, timber, glass); (vi) the process of structural engineering (conceptualisation, planning, analysis, design, optimization, construction, assembly, manufacture, testing, maintenance, monitoring, assessment, repair, strengthening, retrofitting, decommissioning). The SEMC 2019 Proceedings will be of interest to civil, structural, mechanical, marine and aerospace engineers. Researchers, developers, practitioners and academics in these disciplines will find them useful. Two versions of the papers are available. Short versions, intended to be concise but self-contained summaries of the full papers, are in this printed book. The full versions of the papers are in the e-book.