Author: Peng Li
Publisher:
ISBN: 9783851252408
Category :
Languages : en
Pages : 133

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Book Description

Author: Martin Schanz
Publisher: Springer Science & Business Media
ISBN: 3540445757
Category : Science
Languages : en
Pages : 176

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Book Description
Wave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered.

Author: Krzysztof Wilmanski
Publisher: World Scientific
ISBN: 9814412392
Category : Science
Languages : en
Pages : 482

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Book Description
This second part of Continuum Thermodynamics is designed to match almost one-to-one the chapters of Part I. This is done so that the reader studying thermodynamics will have a deepened understanding of the subjects covered in Part I. The aims of the book are in particular: the illustration of basic features of some simple thermodynamical models such as ideal and viscous fluids, non-Newtonian fluids, nonlinear solids, interactions with electromagnetic fields, and diffusive porous materials. A further aim is the illustration of the above subjects by examples and simple solutions of initial and boundary problems as well as simple exercises to develop skills in the construction of interdisciplinary macroscopic models.

Author:
Publisher:
ISBN: 9786613969118
Category : Boundary element methods
Languages : en
Pages : 724

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Book Description
This book is a development of the author's involvement in the field of Boundary Elements (B.E.), and of Boundary Elements in dynamics in particular, over a period of sixteen years. The intent is for it to summarize the current state of the Boundary Element Method (BEM) in dynamics of continua. The main emphasis is on the development of the different B.E. formulations for time dependent problems and the necessary mathematical transformations to produce computer codes which are able to solve scalar, elastic and poroelastic wave propagation problems. Nevertheless, there is also a substantial part of the book which covers the application of the BEM to important engineering problems in dynamics. The mathematics involved in the book has been developed to the necessary degree to make it as self-contained as possible. Readers with almost no background in B.E. or in dynamics should be able to follow the text. Boundary Elements in Dynamics has been written with a dual purpose. The intent is for it to be not only a reference book for researchers and engineers, but also a book from which scientists, graduate students and practising engineers can learn in detail the formulation, implementation and practical applications of the BEM in dynamics. The book could serve as a text to a course on Boundary Elements in Dynamics or as a supplement to other books in a more general course.

Author: J. Dominguez
Publisher:
ISBN: 9781845646936
Category : Science
Languages : en
Pages : 724

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Book Description
This book is a development of the author's involvement in the field of Boundary Elements (B.E.), and of Boundary Elements in dynamics in particular, over a period of sixteen years. The intent is for it to summarize the current state of the Boundary Element Method (BEM) in dynamics of continua. The main emphasis is on the development of the different B. E. formulations for time dependent problems and the necessary mathematical transformations to produce computer codes which are able to solve scalar, elastic and poroelastic wave propagation problems. Nevertheless, there is also a substantial part of the book which covers the application of the BEM to important engineering problems in dynamics. The mathematics involved in the book has been developed to the necessary degree to make it as self-contained as possible. Readers with almost no background in B.E. or in dynamics should be able to follow the text.

Author: Chiara Guardasoni
Publisher: Ledizioni
ISBN: 8895994159
Category : Mathematics
Languages : en
Pages : 131

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Book Description
Wave propagation analysis with boundary element method.

Author: Francisco-Javier Sayas
Publisher: Springer
ISBN: 3319266454
Category : Mathematics
Languages : en
Pages : 251

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Book Description
This book offers a thorough and self-contained exposition of the mathematics of time-domain boundary integral equations associated to the wave equation, including applications to scattering of acoustic and elastic waves. The book offers two different approaches for the analysis of these integral equations, including a systematic treatment of their numerical discretization using Galerkin (Boundary Element) methods in the space variables and Convolution Quadrature in the time variable. The first approach follows classical work started in the late eighties, based on Laplace transforms estimates. This approach has been refined and made more accessible by tailoring the necessary mathematical tools, avoiding an excess of generality. A second approach contains a novel point of view that the author and some of his collaborators have been developing in recent years, using the semigroup theory of evolution equations to obtain improved results. The extension to electromagnetic waves is explained in one of the appendices.

Author: BREBBIA
Publisher: Springer Science & Business Media
ISBN: 147576300X
Category : Science
Languages : en
Pages : 226

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Book Description
A substantial amount of research on Boundary Elements has taken place since publication of the first Volume of this series. Most of the new work has concentrated on the solution of non-linear and time dependent problems and the development of numerical techniques to increase the efficiency of the method. Chapter 1 of this Volume deals with the solution of non-linear potential problems, for which the diffusivity coefficient is a function of the potential and the boundary conditions are also non-linear. The recent research reported here opens the way for the solution of a: large range of non-homogeneous problems by using a simple transformation which linearizes the governing equations and consequently does not require the use of internal cells. Chapter 2 summarizes the main integral equations for the solution of two-and three dimensional scalar wave propagation problems. This is a type of problem that is well suited to boundary elements but generally gives poor results when solved using finite elements. The problem of fracture mechanics is studied in Chapter 3, where the ad vantages of using boundary integral equations are demonstrated. One of the most interesting features of BEM i~ the possibility of describing the problem only as a function of the boundary unknowns, even in the presence of body, centrifugal and temperature induced forces. Chapter 4 explains how this can be done for two-and three-dimensional elastostatic problems.

Author: Holm Altenbach
Publisher: Springer
ISBN: 3030116654
Category : Science
Languages : en
Pages : 525

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Book Description
This book presents a collection of chapters on the current problems of the theory of dynamical processes in generalized continua and structures, and has been compiled to commemorate the 70th birthday of Prof. Dmitry Indeitsev – a leading specialist in the field of dynamical processes in solids, fluids and structures. It discusses various applications related to Prof. Indeitsev’s contributions, including various discrete and continuous dynamic models of structures and media, as well as a number of dynamical processes in generalized media.

Author: Holm Altenbach
Publisher: Springer Nature
ISBN: 303030406X
Category : Technology & Engineering
Languages : en
Pages : 231

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Book Description
This book discusses recent findings and advanced theories presented at two workshops at TU Berlin in 2017 and 2018. It underlines several advantages of generalized continuum models compared to the classical Cauchy continuum, which although widely used in engineering practice, has a number of limitations, such as: • The structural size is very small. • The microstructure is complex. • The effects are localized. As such, the development of generalized continuum models is helpful and results in a better description of the behavior of structures or materials. At the same time, there are more and more experimental studies supporting the new models because the number of material parameters is higher.