Wave Propagation In Viscoelastic And Poroelastic Continua

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Wave Propagation in Viscoelastic and Poroelastic Continua

Author : Martin Schanz
Publisher : Springer Science & Business Media
Page : 176 pages
File Size : 49,5 Mb
Release : 2012-11-27
Category : Science
ISBN : 9783540445753

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Wave Propagation in Viscoelastic and Poroelastic Continua by Martin Schanz Pdf

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.

Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements

Author : George D. Manolis,Petia S. Dineva,Tsviatko V. Rangelov,Frank Wuttke
Publisher : Springer
Page : 294 pages
File Size : 42,8 Mb
Release : 2016-09-23
Category : Technology & Engineering
ISBN : 9783319452067

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Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements by George D. Manolis,Petia S. Dineva,Tsviatko V. Rangelov,Frank Wuttke Pdf

This book focuses on the mathematical potential and computational efficiency of the Boundary Element Method (BEM) for modeling seismic wave propagation in either continuous or discrete inhomogeneous elastic/viscoelastic, isotropic/anisotropic media containing multiple cavities, cracks, inclusions and surface topography. BEM models may take into account the entire seismic wave path from the seismic source through the geological deposits all the way up to the local site under consideration. The general presentation of the theoretical basis of elastodynamics for inhomogeneous and heterogeneous continua in the first part is followed by the analytical derivation of fundamental solutions and Green's functions for the governing field equations by the usage of Fourier and Radon transforms. The numerical implementation of the BEM is for antiplane in the second part as well as for plane strain boundary value problems in the third part. Verification studies and parametric analysis appear throughout the book, as do both recent references and seminal ones from the past. Since the background of the authors is in solid mechanics and mathematical physics, the presented BEM formulations are valid for many areas such as civil engineering, geophysics, material science and all others concerning elastic wave propagation through inhomogeneous and heterogeneous media. The material presented in this book is suitable for self-study. The book is written at a level suitable for advanced undergraduates or beginning graduate students in solid mechanics, computational mechanics and fracture mechanics.

Advanced Materials

Author : Ivan A. Parinov,Shun-Hsyung Chang,Muaffaq A. Jani
Publisher : Springer
Page : 627 pages
File Size : 54,7 Mb
Release : 2017-08-04
Category : Technology & Engineering
ISBN : 9783319560625

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Advanced Materials by Ivan A. Parinov,Shun-Hsyung Chang,Muaffaq A. Jani Pdf

This book presents 50 selected peer-reviewed reports from the 2016 International Conference on “Physics and Mechanics of New Materials and Their Applications”, PHENMA 2016 (Surabaya, Indonesia, 19–22 July, 2016). The Proceedings are devoted to processing techniques, physics, mechanics, and applications of advanced materials. As such, they examine a wide spectrum of nanostructures, ferroelectric crystals, materials and composites, as well as other promising materials with special properties. They present nanotechnology approaches, modern environmentally friendly piezoelectric and ferromagnetic techniques, and physical and mechanical studies of the structural and physical-mechanical properties of the materials discussed. Further, a broad range of original mathematical and numerical methods is applied to solve various technological, mechanical and physical problems, which are inte resting for applications. Great attention is devoted to novel devices with high accuracy, longevity and extended possibilities to work in wide temperature and pressure ranges, aggressive media, etc., which show improved characteristics, defined by the developed materials and composites, opening new possibilities to study different physico-mechanical processes and phenomena.

Porous Media

Author : Wolfgang Ehlers,J. Bluhm
Publisher : Springer Science & Business Media
Page : 459 pages
File Size : 41,9 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9783662049990

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Porous Media by Wolfgang Ehlers,J. Bluhm Pdf

The present volume offers a state-of-the-art report on the various recent sci entific developments in the Theory of Porous Media (TPM) comprehending the basic theoretical concepts in continuum mechanics on porous and mul tiphasic materials as well as the wide range of experimental and numerical applications. Following this, the volume does not only address the sophisti cated reader but also the interested beginner in the area of Porous Media by presenting a collection of articles. These articles written by experts in the field concern the fundamental approaches to multiphasic and porous materials as well as various applications to engineering problems. In many branches of engineering just as in applied natural sciences like bio- and chemomechanics, one often has to deal with continuum mechanical problems which cannot be uniquely classified within the well-known disci plines of either "solid mechanics" or "fluid mechanics". These problems, characterized by the fact that they require a unified treatment of volumetri cally coupled solid-fluid aggregates; basically fall into the categories of either mixtures or porous media. Following this, there is a broad variety of problems ranging in this category as for example the investigation of reacting fluid mix tures or solid-fluid suspensions as well as the investigation of the coupled solid deformation and pore-fluid flow behaviour of liquid- and gas-saturated porous solid skeleton materials like geomaterials (soil, rock, concrete, etc. ), polymeric and metallic foams or biomaterials (hard and soft tissues, etc).

Wave Propagation in Infinite Domains

Author : Lutz Lehmann
Publisher : Springer Science & Business Media
Page : 185 pages
File Size : 49,9 Mb
Release : 2007-05-24
Category : Science
ISBN : 9783540711094

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Wave Propagation in Infinite Domains by Lutz Lehmann Pdf

This book presents theoretical fundamentals and applications of a new numerical model that has the ability to simulate wave propagation. Coverage examines linear waves in ideal fluids and elastic domains. In addition, the book includes a numerical simulation of wave propagation based on scalar and vector wave equations, as well as fluid-structure interaction and soil-structure interaction.

Boundary Elements and Other Mesh Reduction Methods XXIX

Author : C. A. Brebbia,Dragan Poljak,Viktor Popov
Publisher : WIT Press
Page : 353 pages
File Size : 44,7 Mb
Release : 2007
Category : Mathematics
ISBN : 9781845640767

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Boundary Elements and Other Mesh Reduction Methods XXIX by C. A. Brebbia,Dragan Poljak,Viktor Popov Pdf

This book contains the edited proceedings of the 29th World Conference on Boundary Elements and Other Mesh Reduction Methods, an internationally recognised forum for the dissemination of the latest advances on Mesh Reduction Techniques and their applications in sciences and engineering. The range of topics included in this volume are as follows: Advances in Mesh Reduction; Meshless Methods Techniques; Dual Reciprocity Method, Modified Trefftz Method; Fundamental Solution Method; Damage Mechanics and Fracture; Advanced Stress Analysis and Structural Applications; Plates and Shells; Dynamics and Vibrations; Material Characterisation; Acoustics; Heat and mass Transfer; Fluid Mechanics Applications; Wave Propagation; Inverse Problems and Computational Techniques.

Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods

Author : Steffen Marburg,Bodo Nolte
Publisher : Springer Science & Business Media
Page : 578 pages
File Size : 43,6 Mb
Release : 2008-02-27
Category : Science
ISBN : 9783540774488

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Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods by Steffen Marburg,Bodo Nolte Pdf

The book provides a survey of numerical methods for acoustics, namely the finite element method (FEM) and the boundary element method (BEM). It is the first book summarizing FEM and BEM (and optimization) for acoustics. The book shows that both methods can be effectively used for many other cases, FEM even for open domains and BEM for closed ones. Emphasis of the book is put on numerical aspects and on treatment of the exterior problem in acoustics, i.e. noise radiation.

Wave Fields in Real Media

Author : José M. Carcione
Publisher : Elsevier
Page : 828 pages
File Size : 42,5 Mb
Release : 2022-08-04
Category : Science
ISBN : 9780323983594

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Wave Fields in Real Media by José M. Carcione Pdf

Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media examines the differences between an ideal and a real description of wave propagation, starting with the introduction of relevant constitutive relations. The differential formulation can be written in terms of memory variables, and Biot theory is used to describe wave propagation in porous media. For each constitutive relation, a plane-wave analysis is performed to illustrate the physics of wave propagation. New topics are the S-wave amplification function, Fermat principle and its relation to Snell law, bounds and averages of seismic Q, seismic attenuation in partially molten rocks, and more. This book contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics and material science - including many branches of acoustics of fluids and solids - may also find this text useful. Examines the fundamentals of wave propagation in anisotropic, anelastic and porous media Presents all equations and concepts necessary to understand the physics of wave propagation Emphasizes geophysics, particularly seismic exploration for hydrocarbon reservoirs, which is essential for the exploration and production of oil

Proceedings of the 4th International Conference on Numerical Modelling in Engineering

Author : Magd Abdel Wahab
Publisher : Springer Nature
Page : 104 pages
File Size : 44,7 Mb
Release : 2022-02-15
Category : Technology & Engineering
ISBN : 9789811681851

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Proceedings of the 4th International Conference on Numerical Modelling in Engineering by Magd Abdel Wahab Pdf

This book gathers outstanding papers on numerical modeling in Civil Engineering (Volume 1) as part of the 2-volume proceedings of the 4th International Conference on Numerical Modeling in Engineering (NME 2021), which was held in Ghent, Belgium, on 24-25 August 2021. The overall objective of the conference was to bring together international scientists and engineers in academia and industry from fields related to advanced numerical techniques, such as the finite element method (FEM), boundary element method (BEM), isogeometric analysis (IGA), etc., and their applications to a wide range of engineering disciplines. This volume covers numerical simulations with industrial civil engineering applications such as bridges and dams, cyclic loading, fluid dynamics, structural mechanics, geotechnical engineering, thermal analysis, reinforced concrete structures, steel structures, and composite structures.

Developments and Novel Approaches in Nonlinear Solid Body Mechanics

Author : Bilen Emek Abali,Ivan Giorgio
Publisher : Springer Nature
Page : 491 pages
File Size : 52,9 Mb
Release : 2020-07-18
Category : Science
ISBN : 9783030504601

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Developments and Novel Approaches in Nonlinear Solid Body Mechanics by Bilen Emek Abali,Ivan Giorgio Pdf

This book features selected manuscripts presented at ICoNSoM 2019, exploring cutting-edge methods for developing novel models in nonlinear solid mechanics. Innovative methods like additive manufacturing—for example, 3D printing— and miniaturization mean that engineers need more accurate techniques for modeling solid body mechanics. The book focuses on the formulation of continuum and discrete models for complex materials and systems, particularly the design of metamaterials.

Boundary Element Analysis

Author : Martin Schanz,Olaf Steinbach
Publisher : Springer Science & Business Media
Page : 360 pages
File Size : 43,7 Mb
Release : 2007-04-29
Category : Technology & Engineering
ISBN : 9783540475330

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Boundary Element Analysis by Martin Schanz,Olaf Steinbach Pdf

This volume contains eleven contributions on boundary integral equation and boundary element methods. Beside some historical and more analytical aspects in the formulation and analysis of boundary integral equations, modern fast boundary element methods are also described and analyzed from a mathematical point of view. In addition, the book presents engineering and industrial applications that show the ability of boundary element methods to solve challenging problems from different fields.

Applications of Homogenization Theory to the Study of Mineralized Tissue

Author : Robert P. Gilbert,Ana Vasilic,Sandra Klinge,Alex Panchenko,Klaus Hackl
Publisher : CRC Press
Page : 192 pages
File Size : 41,9 Mb
Release : 2020-12-29
Category : Mathematics
ISBN : 9780429533242

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Applications of Homogenization Theory to the Study of Mineralized Tissue by Robert P. Gilbert,Ana Vasilic,Sandra Klinge,Alex Panchenko,Klaus Hackl Pdf

Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in complex structures. Applications of Homogenization Theory to the Study of Mineralized Tissue functions as an introduction to the theory of homogenization. At the same time, the book explains how to apply the theory to various application problems in biology, physics and engineering. The authors are experts in the field and collaborated to create this book which is a useful research monograph for applied mathematicians, engineers and geophysicists. As for students and instructors, this book is a well-rounded and comprehensive text on the topic of homogenization for graduate level courses or special mathematics classes. Features: Covers applications in both geophysics and biology. Includes recent results not found in classical books on the topic Focuses on evolutionary kinds of problems; there is little overlap with books dealing with variational methods and T-convergence Includes new results where the G-limits have different structures from the initial operators

Selected Topics in Boundary Integral Formulations for Solids and Fluids

Author : Vladimir Kompiš
Publisher : Springer
Page : 231 pages
File Size : 41,5 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709125489

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Selected Topics in Boundary Integral Formulations for Solids and Fluids by Vladimir Kompiš Pdf

The book outlines special approaches using singular and non-singular, multi-domain and meshless BEM formulations, hybrid- and reciprocity-based FEM for the solution of linear and non-linear problems of solid and fluid mechanics and for the acoustic fluid-structure interaction. Use of Trefftz functions and other regularization approaches to boundary integral equations (BIE), boundary contour and boundary node solution of BIE, sensitivity analysis, shape optimization, error analysis and adaptivity, stress and displacement derivatives in non-linear problems smoothing using Trefftz polynomials and other special numerical approaches are included. Applications to problems such as noise radiation from rolling bodies, acoustic radiation in closed and infinite domains, 3D dynamic piezoelectricity, Stefan problems and coupled problems are included.

Time-Domain Scattering

Author : P. A. Martin
Publisher : Cambridge University Press
Page : 265 pages
File Size : 43,9 Mb
Release : 2021-06-24
Category : Mathematics
ISBN : 9781108835596

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Time-Domain Scattering by P. A. Martin Pdf

The first thorough synthesis of methods for solving time-domain scattering problems, covering both theoretical and computational aspects.

Analysis as a Life

Author : Sergei Rogosin,Ahmet Okay Çelebi
Publisher : Springer
Page : 318 pages
File Size : 54,7 Mb
Release : 2019-01-30
Category : Mathematics
ISBN : 9783030026509

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Analysis as a Life by Sergei Rogosin,Ahmet Okay Çelebi Pdf

This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday. It aims at being a tribute to the excellent achievements of Heinrich Begehr in complex analysis and complex differential equations, and especially to his prominent role as one of the creators and long-time leader of the International Society for Analysis, its Applications and Computation (ISAAC).