Wave Processes In Solids With Microstructure

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Wave Processes in Solids with Microstructure

Author : Vladimir I. Erofeyev
Publisher : World Scientific
ISBN 13 : 9789812794505
Total Pages : 282 pages
Book Rating : 4.7/5 (945 download)

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Book Synopsis Wave Processes in Solids with Microstructure by : Vladimir I. Erofeyev

Download or read book Wave Processes in Solids with Microstructure written by Vladimir I. Erofeyev and published by World Scientific. This book was released on 2003 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. The fundamental hypothesis of microstructured elastic solids. Structural-phenomenological model. 1.1. Mathematical models of solids with microstructure. 1.2. Definition of material constants -- 2. Gradient elasticity media. Dispersion. Dissipation. Non-linearity. 2.1. Dynamic equations. Energy and momentum variation law. 2.2. Dispersion properties of longitudinal and shear waves. Surface Rayleigh waves. 2.3. Dissipative properties. 2.4. Nonlinear plain stationary waves. 2.5. Quasi-plain wave beams. 2.6. Self-modulation of quasi-harmonic shear waves. 2.7. Resonant interaction of quasi-harmonic waves. 2.8. Noise waves -- 3. Gradient elasticity media. Damaged medium. Magnetoelasticity. 3.1. Waves in damaged medium with microstructure. 3.2. Magneto-elastic waves in the medium with microstructure -- 4. Cosserat continuum. 4.1. Basic equations of micropolar elasticity theory. 4.2. Dispersion properties of volume waves. 4.3. Wave reflection from the free interface of micropolar halfspace. Rayleigh surface waves. 4.4. Normal waves in a micropolar layer. 4.5. Nonlinear resonant interaction of longitudinal and rotation waves. 4.6. Waves in Cosserat pseudocontinuum. 4.7. Waves in the Cosserat continuum with symmetric stress tensor -- 5. Waves in two-component mixture of solids. 5.1. Dispersion properties. 5.2. Some nonlinear wave effects -- 6. Waves in micromorphic solids. 6.1. Dynamics equations. 6.2. Different types of volume waves and their dispersion properties. 6.3. Surface shear waves in the gradient-elastic half-space with surface energy -- 7. Elasto-plastic waves in the medium with dislocations. 7.1. Equations of dynamics. 7.2. Dispersion properties. 7.3. Some nonlinear problems. 7.4. Correlation of elasto-plastic continuum and Cosserat continuum. 7.5. Example of research of the influence of dislocations on dispersion and damping of ultrasound in solid body -- 8. Wave problems of micropolar hydrodynamics. 8.1. Rotational waves in micropolar liquids. 8.2. Shear surface wave at the interface of elastic body and micropolar liquid. 8.3. Shear surface wave at the interface between elastic half-space and conducting viscous liquid in a magnetic field.

Wave Processes in Classical and New Solids

Author : Pasquale Giovine
Publisher : BoD – Books on Demand
ISBN 13 : 9535108212
Total Pages : 234 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Wave Processes in Classical and New Solids by : Pasquale Giovine

Download or read book Wave Processes in Classical and New Solids written by Pasquale Giovine and published by BoD – Books on Demand. This book was released on 2012-10-24 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave propagation in solids has been widely studied and principal advances in this field have been achieved not only for the improvements of calculus methods, but also for the high progresses attained in the description of new types of materials. This book presents innovative and original research studies describing some enhancement in both directions. In particular, the first section is devoted to the propagation of waves in complex materials and related dispersion relations are deeply investigated. Instead the second section is dedicated to new applications for the study of wave processes in classical solids; the emphasis is posed on various simulation availabilities in the fields of seismology, damaging, geomaterials and multi-wave propagation. The audience includes students, engineers and advanced scientists with knowledge of wave propagation in solids.

Acoustic Interactions With Submerged Elastic Structures - Part Ii: Propagation, Ocean Acoustics And Scattering

Author : Juri Engelbrecht
Publisher : World Scientific
ISBN 13 : 9814497827
Total Pages : 389 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Acoustic Interactions With Submerged Elastic Structures - Part Ii: Propagation, Ocean Acoustics And Scattering by : Juri Engelbrecht

Download or read book Acoustic Interactions With Submerged Elastic Structures - Part Ii: Propagation, Ocean Acoustics And Scattering written by Juri Engelbrecht and published by World Scientific. This book was released on 2001-07-31 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interaction of acoustic fields with submerged elastic structures, both by propagation and scattering, is being investigated at various institutions and laboratories world-wide with ever-increasing sophistication of experiments and analysis. This book offers a collection of contributions from these research centers that represent the present state-of-the-art in the study of acoustic elastic interaction, being on the cutting edge of these investigations. This includes the description of acoustic scattering from submerged elastic objects and shells by the Resonance Scattering Theory of Flax, Dragonette and Überall, and the interaction of these phenomena in terms of interface waves. It also includes the use of this theory for the purpose of inverse scattering, i.e. the determination of the scattered objects properties from the received acoustic backscattered signals. The problem of acoustically excited waves in inhomogeneous and anisotropic materials, and of inhomogeneous propagating waves is considered. Vibrations and resonances of elastic shells, including shells with various kinds of internal attachments, are analyzed. Acoustic scattering experiments are described in the time domain, and on the basis of the Wigner-Ville distribution. Acoustic propagation in the water column over elastic boundaries is studied experimentally both in laboratory tanks, and in the field, and is analyzed theoretically. Ultrasonic nondestructive testing, including such aspects like probe modelling, scattering by various types of cracks, receiving probes and calibration by a side-drilled hole is also studied in details.A comprehensive picture of these complex phenomena and other aspects is presented in the book by researchers that are experts in each of these domains, giving up-to-date accounts of the field in all these aspects.

Mechanics of Microstructured Solids

Author : J.-F. Ganghoffer
Publisher : Springer Science & Business Media
ISBN 13 : 3642009115
Total Pages : 133 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Mechanics of Microstructured Solids by : J.-F. Ganghoffer

Download or read book Mechanics of Microstructured Solids written by J.-F. Ganghoffer and published by Springer Science & Business Media. This book was released on 2009-05-14 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a compendium of reviewed articles presented at the 11th EUROMECH-MECAMAT conference entitled, "Mechancis of microstructured solids: cellular materials, fibre reinforced solids and soft tissues." It provides all the latest information in the field.

Amplification of Nonlinear Strain Waves in Solids

Author : Alexey V. Porubov
Publisher : World Scientific
ISBN 13 : 9812383263
Total Pages : 229 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Amplification of Nonlinear Strain Waves in Solids by : Alexey V. Porubov

Download or read book Amplification of Nonlinear Strain Waves in Solids written by Alexey V. Porubov and published by World Scientific. This book was released on 2003 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats two problems simultaneously: sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of unsteady nonlinear wave processes. The text includes numerous detailed examples of the strain wave amplification and selection caused by the influence of an external medium, microstructure, moving point defects, and thermal phenomena. The main features of the book are: (1) nonlinear models of the strain wave evolution in a rod subjected by various dissipative/active factors; (2) an analytico-numerical approach for solutions to the governing nonlinear partial differential equations with dispersion and dissipation. This book is essential for introducing readers in mechanics, mechanical engineering, and applied mathematics to the concept of long nonlinear strain wave in one-dimensional wave guides. It is also suitable for self-study by professionals in all areas of nonlinear physics.

Wave Dynamics of Generalized Continua

Author : Alexander G. Bagdoev
Publisher : Springer
ISBN 13 : 3642372678
Total Pages : 285 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Wave Dynamics of Generalized Continua by : Alexander G. Bagdoev

Download or read book Wave Dynamics of Generalized Continua written by Alexander G. Bagdoev and published by Springer. This book was released on 2015-09-25 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to problems of propagation and stability of linear and nonlinear waves in continuous media with complex structure. It considers the different media, such as solid with cavities, preliminary deformed disperse medium, solid with porosity filled by the electrically conductive and non-conductive liquid, magnetoelastic, piezo-semiconductors, crystals with dislocations, composites with inclusions, an electrically conductive asymmetrical liquid, a mixture of gas with a drop liquid. The book also considers the propagation of a laser beam through a two-level medium. The presented results are based on methods of evolution and modulation equations that were developed by the authors. The book is intended for scientific and technical researchers, students and post-graduate students specializing in mechanics of continuous media, physical acoustics, and physics of the solid state.

Selected Topics in Nonlinear Wave Mechanics

Author : C.I. Christov
Publisher : Springer Science & Business Media
ISBN 13 : 1461200954
Total Pages : 274 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Selected Topics in Nonlinear Wave Mechanics by : C.I. Christov

Download or read book Selected Topics in Nonlinear Wave Mechanics written by C.I. Christov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview ofthe current state of nonlinear wave mechanics with emphasis on strong discontinuities (shock waves) and localized self preserving shapes (solitons) in both elastic and fluid media. The exposition is intentionallyat a detailed mathematical and physical level, our expectation being that the reader will enjoy coming to grips in a concrete manner with advances in this fascinating subject. Historically, modern research in nonlinear wave mechanics began with the famous 1858 piston problem paper of Riemann on shock waves and con tinued into the early part of the last century with the work of Hadamard, Rankine, and Hugoniot. After WWII, research into nonlinear propagation of dispersive waves rapidly accelerated with the advent of computers. Works of particular importance in the immediate post-war years include those of von Neumann, Fermi, and Lax. Later, additional contributions were made by Lighthill, Glimm, Strauss, Wendroff, and Bishop. Dispersion alone leads to shock fronts of the propagating waves. That the nonlinearity can com pensate for the dispersion, leading to propagation with a stable wave having constant velocity and shape (solitons) came as a surprise. A solitary wave was first discussed by J. Scott Russell in 1845 in "Report of British Asso ciations for the Advancement of Science. " He had, while horseback riding, observed a solitary wave travelling along a water channel and followed its unbroken progress for over a mile.

Advanced Manufacturing Processes IV

Author : Volodymyr Tonkonogyi
Publisher : Springer Nature
ISBN 13 : 3031166515
Total Pages : 606 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Advanced Manufacturing Processes IV by : Volodymyr Tonkonogyi

Download or read book Advanced Manufacturing Processes IV written by Volodymyr Tonkonogyi and published by Springer Nature. This book was released on 2022-09-08 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a timely snapshot of innovative research and developments at the interface between manufacturing, materials and mechanical engineering, and quality assurance. It covers various manufacturing processes, such as grinding, boring, milling, broaching, coatings, including additive manufacturing. It focuses on cutting, abrasive, stamping-drawing processes, shot peening, and complex treatment. It describes temperature distribution, twisting deformation, defect formation process, failure analysis, as well as the convective heat exchange and non-uniform nanocapillary fluid cooling, highlighting the growing role of quality control, integrated management systems, and economic efficiency evaluation. It also covers vibration damping, dynamic behavior, failure probability, and strength performance methods for aviation, heterogeneous, permeable porous, and other types of materials. Gathering the best papers presented at the 4th Grabchenko’s International Conference on Advanced Manufacturing Processes (InterPartner-2022), held in Odessa, Ukraine, on September 6–9, 2022, this book offers a timely overview and extensive information on trends and technologies in manufacturing, mechanical, and materials engineering, and quality assurance. It is also intended to facilitate communication and collaboration between different groups working on similar topics and to offer a bridge between academic and industrial researchers.

Nonlinear Wave Dynamics of Materials and Structures

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3030387089
Total Pages : 473 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Nonlinear Wave Dynamics of Materials and Structures by : Holm Altenbach

Download or read book Nonlinear Wave Dynamics of Materials and Structures written by Holm Altenbach and published by Springer Nature. This book was released on 2020-04-22 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book marks the 60th birthday of Prof. Vladimir Erofeev – a well-known specialist in the field of wave processes in solids, fluids, and structures. Featuring a collection of papers related to Prof. Erofeev’s contributions in the field, it presents articles on the current problems concerning the theory of nonlinear wave processes in generalized continua and structures. It also discusses a number of applications as well as various discrete and continuous dynamic models of structures and media and problems of nonlinear acoustic diagnostics.

Nonlinear Elastic Waves in Materials

Author : Jeremiah J. Rushchitsky
Publisher : Springer Science & Business
ISBN 13 : 3319004646
Total Pages : 445 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Nonlinear Elastic Waves in Materials by : Jeremiah J. Rushchitsky

Download or read book Nonlinear Elastic Waves in Materials written by Jeremiah J. Rushchitsky and published by Springer Science & Business. This book was released on 2014-04-23 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Wave Processes In Solids With Microstructure

Author : Vladimir I Erofeyev
Publisher : World Scientific
ISBN 13 : 981448704X
Total Pages : 276 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Wave Processes In Solids With Microstructure by : Vladimir I Erofeyev

Download or read book Wave Processes In Solids With Microstructure written by Vladimir I Erofeyev and published by World Scientific. This book was released on 2003-08-12 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically discusses the modern theory of propagation and interaction of elastic waves in solids with microstructure. Mathematical models of solids taking into account microstructure, geometrical and physical nonlinearity, damage media, interaction of deformation and magnetic field are obtained. Different wave effects characteristic of solids with microstructure are studied. The opportunity to use these effects in problems of ultrasonic testing of materials and devices of constructions is considered.

New Achievements in Continuum Mechanics and Thermodynamics

Author : Bilen Emek Abali
Publisher : Springer
ISBN 13 : 3030133079
Total Pages : 586 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis New Achievements in Continuum Mechanics and Thermodynamics by : Bilen Emek Abali

Download or read book New Achievements in Continuum Mechanics and Thermodynamics written by Bilen Emek Abali and published by Springer. This book was released on 2019-03-13 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a liber amicorum dedicated to Wolfgang H. Müller, and highlights recent advances in Prof. Müller’s major fields of research: continuum mechanics, generalized mechanics, thermodynamics, mechanochemistry, and geomechanics. Over 50 of Prof. Müller’s friends and colleagues contributed to this book, which commemorates his 60th birthday and was published in recognition of his outstanding contributions.

Advances in Mechanics of Microstructured Media and Structures

Author : Francesco dell'Isola
Publisher : Springer
ISBN 13 : 3319736949
Total Pages : 368 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Advances in Mechanics of Microstructured Media and Structures by : Francesco dell'Isola

Download or read book Advances in Mechanics of Microstructured Media and Structures written by Francesco dell'Isola and published by Springer. This book was released on 2018-02-27 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an homage to the pioneering works of E. Aero and G. Maugin in the area of analytical description of generalized continua. It presents a collection of contributions on micropolar, micromorphic and strain gradient media, media with internal variables, metamaterials, beam lattices, liquid crystals, and others. The main focus is on wave propagation, stability problems, homogenization, and relations between discrete and continuous models.

Structural Modeling of Metamaterials

Author : Vladimir I. Erofeev
Publisher : Springer Nature
ISBN 13 : 303060330X
Total Pages : 222 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Structural Modeling of Metamaterials by : Vladimir I. Erofeev

Download or read book Structural Modeling of Metamaterials written by Vladimir I. Erofeev and published by Springer Nature. This book was released on 2020-11-13 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the theoretical foundations of the structural modeling method applied to metamaterials. This method takes into account the parameters of the crystal lattice, the size of the medium particles, as well as their shape and constants of force interactions between them. It provides mathematical models of metamaterials that offer insights into the qualitative influence of the local structure on the effective elastic moduli of the considered medium and into performing theoretical estimations of these quantities. This book is useful for researchers working in the fields of solid mechanics, physical acoustics, and condensed matter physics, as well as for graduate and postgraduate students studying mathematical modeling methods.

Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure

Author : Carlo Cattani
Publisher : World Scientific
ISBN 13 : 9812707840
Total Pages : 473 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure by : Carlo Cattani

Download or read book Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure written by Carlo Cattani and published by World Scientific. This book was released on 2007 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This seminal book unites three different areas of modern science: the micromechanics and nanomechanics of composite materials; wavelet analysis as applied to physical problems; and the propagation of a new type of solitary wave in composite materials, nonlinear waves. Each of the three areas is described in a simple and understandable form, focusing on the many perspectives of the links among the three.All of the techniques and procedures are described here in the clearest and most open form, enabling the reader to quickly learn and use them when faced with the new and more advanced problems that are proposed in this book. By combining these new scientific concepts into a unitary model and enlightening readers on this pioneering field of research, readers will hopefully be inspired to explore the more advanced aspects of this promising scientific direction. The application of wavelet analysis to nanomaterials and waves in nanocomposites can be very appealing to both specialists working on theoretical developments in wavelets as well as specialists applying these methods and experiments in the mechanics of materials.

Universality of Nonclassical Nonlinearity

Author : Pier Paolo Delsanto
Publisher : Springer Science & Business Media
ISBN 13 : 038735851X
Total Pages : 535 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Universality of Nonclassical Nonlinearity by : Pier Paolo Delsanto

Download or read book Universality of Nonclassical Nonlinearity written by Pier Paolo Delsanto and published by Springer Science & Business Media. This book was released on 2006-12-13 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the results of two major international research projects on phenomenology, theory and applications of Nonclassical Nonlinearity. It conveys concepts, experimental techniques and applications which were previously found in specialized journals. It also allows for an interdisciplinary audience to better understand the range of practical applications, and is timely and interesting to both researchers and professionals.

Mathematical Modeling of Shock-Wave Processes in Condensed Matter

Author : Tatiana Aleksandrovna Khantuleva
Publisher : Springer Nature
ISBN 13 : 981192404X
Total Pages : 347 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Mathematical Modeling of Shock-Wave Processes in Condensed Matter by : Tatiana Aleksandrovna Khantuleva

Download or read book Mathematical Modeling of Shock-Wave Processes in Condensed Matter written by Tatiana Aleksandrovna Khantuleva and published by Springer Nature. This book was released on 2022-07-18 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an interdisciplinary theoretical approach based on non-equilibrium statistical thermodynamics and control theory for mathematically modeling shock-induced out-of-equilibrium processes in condensed matter. The book comprises two parts. The first half of the book establishes the theoretical approach, reviewing fundamentals of non-equilibrium statistical thermodynamics and control theory of adaptive systems. The latter half applies the presented approach to a problem on shock-induced plane wave propagation in condensed matter. The result successfully reproduces the observed feature of waveform propagation in experiments, which conventional continuous mechanics cannot access. Further, the consequent stress–strain relationships derived with relaxation and inertia effect in elastic–plastic transition determines material properties in transient regimes.