Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Nonlinear Elastic Waves In Materials Described By A Subclass Of Implicit Constitutive Equations PDF full book. Access full book title Nonlinear Elastic Waves In Materials Described By A Subclass Of Implicit Constitutive Equations.
| Author | : Avnish Bhowan Magan |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2018 |
| Genre | : Elastic analysis (Engineering) |
| ISBN | : |
| Author | : Jeremiah J. Rushchitsky |
| Publisher | : Springer Science & Business |
| Total Pages | : 445 |
| Release | : 2014-04-23 |
| Genre | : Science |
| ISBN | : 3319004646 |
The main goal of the book is a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements, which corresponds to one modern line of development of the nonlinear theory of elastic waves. The book is divided on five basic parts: the necessary information on waves and materials; the necessary information on nonlinear theory of elasticity and elastic materials; analysis of one-dimensional nonlinear elastic waves of displacement – longitudinal, vertically and horizontally polarized transverse plane nonlinear elastic waves of displacement; analysis of one-dimensional nonlinear elastic waves of displacement – cylindrical and torsional nonlinear elastic waves of displacement; analysis of two-dimensional nonlinear elastic waves of displacement – Rayleigh and Love nonlinear elastic surface waves. The book is addressed first of all to people working in solid mechanics – from the students at an advanced undergraduate and graduate level to the scientists, professionally interesting in waves. But mechanics is understood in the broad sense, when it includes mechanical and other engineering, material science, applied mathematics and physics and so forth. The genesis of this book can be found in author’s years of research and teaching while a head of department at SP Timoshenko Institute of Mechanics (National Academy of Sciences of Ukraine), a member of Center for Micro and Nanomechanics at Engineering School of University of Aberdeen (Scotland) and a professor at Physical-Mathematical Faculty of National Technical University of Ukraine “KPI”. The book comprises 11 chapters. Each chapter is complemented by exercises, which can be used for the next development of the theory of nonlinear waves.
| Author | : W. K. Nowacki |
| Publisher | : Elsevier |
| Total Pages | : 259 |
| Release | : 2018-03-06 |
| Genre | : Science |
| ISBN | : 1483153932 |
Stress Waves in Non-Elastic Solids is a comprehensive presentation of the principles underlying the propagation of stress waves in non-elastic solids, with emphasis on wave problems in the theory of plasticity. This book exposes wave propagation problems for a range of material responses and justifies the hypotheses introduced in specialized theories and the simplifications made in the analysis of particular problems. Both analytical and numerical methods of solving problems are described, and a large number of solutions to specific problems of wave propagation in inelastic solids are given. This book is comprised of six chapters and begins with an overview of the fundamental equations of the dynamics of inelastic media. The dynamical properties of metals and soils are discussed, offering an account of the most representative theories of plasticity and viscoplasticity. The next chapter considers the basic definitions of discontinuity surfaces and the conditions that must to be satisfied across these surfaces. Certain mathematical fundamentals are given, referring to systems of differential equations, quasi-linear and semi-linear, of the first order. Initial and boundary value problems for hyperbolic equations are also formulated. The remaining chapters focus on methods of solving stress wave propagation problems, including one-dimensional plane waves and longitudinal-transverse waves. Wave propagation problems for elastic-plastic and elastic/viscoplastic media are treated in detail, along with the most important problem of shock waves in metals and soils. The last chapter deals with thermal wave propagation problems. This monograph will be a valuable resource for students and practitioners of engineering, physics, and mathematics.
| Author | : Harry H. Calvit |
| Publisher | : |
| Total Pages | : 22 |
| Release | : 1966 |
| Genre | : |
| ISBN | : |
A study of the literature was made concerning the propagation of finite waves in nonlinear materials. This report includes a brief review of some of the significant contributions that resulted from this study. Results of both experiment and analysis were reviewed and the general state-of-the-art was determined. The majority of the effort was found to be centered on (1) general theories of nonlinear wave propagation, (2) experiments on finite amplitude waves, (3) determination of constitutive equations to describe nonlinear behavior, and (4) development of numerical methods of solution to describe wave propagation in nonlinear materials. Simultaneously, a computer program was developed using the method of finite differences for the solution of an initial boundary value problem. Some calculations were made for the propagation of waves in a nonlinear elastic material. This was intended to be compared with experimental results obtained at the Ballistic Research Laboratories. (Author).
| Author | : José Merodio |
| Publisher | : Springer Nature |
| Total Pages | : 397 |
| Release | : 2019-11-14 |
| Genre | : Science |
| ISBN | : 3030315479 |
This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.
| Author | : Hans Petter Langtangen |
| Publisher | : Springer |
| Total Pages | : 522 |
| Release | : 2017-06-21 |
| Genre | : Computers |
| ISBN | : 3319554565 |
This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.
| Author | : Anders Logg |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 723 |
| Release | : 2012-02-24 |
| Genre | : Computers |
| ISBN | : 3642230997 |
This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.
| Author | : Peter Wriggers |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 252 |
| Release | : 2008-04-01 |
| Genre | : Science |
| ISBN | : 3211772987 |
Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.
| Author | : Jay D. Humphrey |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 642 |
| Release | : 2013-11-11 |
| Genre | : Science |
| ISBN | : 1489903259 |
Designed to meet the needs of undergraduate students, "Introduction to Biomechanics" takes the fresh approach of combining the viewpoints of both a well-respected teacher and a successful student. With an eye toward practicality without loss of depth of instruction, this book seeks to explain the fundamental concepts of biomechanics. With the accompanying web site providing models, sample problems, review questions and more, Introduction to Biomechanics provides students with the full range of instructional material for this complex and dynamic field.
| Author | : Richard A. Schultz |
| Publisher | : Cambridge University Press |
| Total Pages | : 611 |
| Release | : 2019-08-08 |
| Genre | : Business & Economics |
| ISBN | : 1107189993 |
Introduction to geologic fracture mechanics covering geologic structural discontinuities from theoretical and field-based perspectives.
