Mechanics And Physics Of Structured Media

Author : Igor Andrianov,Simon Gluzman,Vladimir Mityushev
Publisher : Academic Press
Page : 528 pages
File Size : 47,9 Mb
Release : 2022-01-20
Category : Technology & Engineering
ISBN : 9780323906531

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Mechanics and Physics of Structured Media by Igor Andrianov,Simon Gluzman,Vladimir Mityushev Pdf

Mechanics and Physics of Structured Media: Asymptotic and Integral Methods of Leonid Filshtinsky provides unique information on the macroscopic properties of various composite materials and the mathematical techniques key to understanding their physical behaviors. The book is centered around the arguably monumental work of Leonid Filshtinsky. His last works provide insight on fracture in electromagnetic-elastic systems alongside approaches for solving problems in mechanics of solid materials. Asymptotic methods, the method of complex potentials, wave mechanics, viscosity of suspensions, conductivity, vibration and buckling of functionally graded plates, and critical phenomena in various random systems are all covered at length. Other sections cover boundary value problems in fracture mechanics, two-phase model methods for heterogeneous nanomaterials, and the propagation of acoustic, electromagnetic, and elastic waves in a one-dimensional periodic two-component material. Covers key issues around the mechanics of structured media, including modeling techniques, fracture mechanics in various composite materials, the fundamentals of integral equations, wave mechanics, and more Discusses boundary value problems of materials, techniques for predicting elasticity of composites, and heterogeneous nanomaterials and their statistical description Includes insights on asymptotic methods, wave mechanics, the mechanics of piezo-materials, and more Applies homogenization concepts to various physical systems

Author : A.P.S. Selvadurai
Publisher : Elsevier
Page : 512 pages
File Size : 53,6 Mb
Release : 2016-06-06
Category : Technology & Engineering
ISBN : 9781483164137

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Mechanics of Structured Media by A.P.S. Selvadurai Pdf

Mechanics of Structured Media

Author : D.R. Axelrad,J.W. Provan
Publisher : Springer
Page : 56 pages
File Size : 52,8 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709129364

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Random Theory of Deformation of Structured Media. Thermodynamics of Deformation in Structured Media by D.R. Axelrad,J.W. Provan Pdf

Author : Alexander B. Movchan,Natasha V. Movchan,Ian S. Jones,Daniel J. Colquitt
Publisher : CRC Press
Page : 266 pages
File Size : 53,5 Mb
Release : 2017-11-09
Category : Mathematics
ISBN : 9781351651424

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Mathematical Modelling of Waves in Multi-Scale Structured Media by Alexander B. Movchan,Natasha V. Movchan,Ian S. Jones,Daniel J. Colquitt Pdf

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.

Author : Simon Gluzman,Vladimir Mityushev,Wojciech Nawalaniec
Publisher : Academic Press
Page : 328 pages
File Size : 46,8 Mb
Release : 2017-09-20
Category : Mathematics
ISBN : 9780128110478

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Computational Analysis of Structured Media by Simon Gluzman,Vladimir Mityushev,Wojciech Nawalaniec Pdf

Computational Analysis of Structured Media presents a systematical approach to analytical formulae for the effective properties of deterministic and random composites. Schwarz’s method and functional equations yield for use in symbolic-numeric computations relevant to the effective properties. The work is primarily concerned with constructive topics of boundary value problems, complex analysis, and their applications to composites. Symbolic-numerical computations are widely used to deduce new formulae interesting for applied mathematicians and engineers. The main line of presentation is the investigation of two-phase 2D composites with non-overlapping inclusions randomly embedded in matrices. Computational methodology for main classes of problems in structured media Theory of Representative Volume Element Combines exact results, Monte-Carlo simulations and Resummation techniques under one umbrella Contains new analytical formulae obtained in the last ten years and it combines different asymptotic methods with the corresponding computer implementations

Author : Francois Nicot,Olivier Millet
Publisher : Elsevier
Page : 386 pages
File Size : 51,5 Mb
Release : 2017-11-20
Category : Technology & Engineering
ISBN : 9780081025963

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Advances in Multi-Physics and Multi-Scale Couplings in Geo-Environmental Mechanics by Francois Nicot,Olivier Millet Pdf

Advances in Multi-Physics and Multi-Scale Couplings in Geo-Environmental Mechanics reunites some of the most recent work from the French research group MeGe GDR (National Research Group on Multiscale and Multiphysics Couplings in Geo-Environmental Mechanics) on the theme of multi-scale and multi-physics modeling of geomaterials, with a special focus on micromechanical aspects. Its offers readers a glimpse into the current state of scientific knowledge in the field, together with the most up-to-date tools and methods of analysis available. Each chapter represents a study with a different viewpoint, alternating between phenomenological/micro-mechanically enriched and purely micromechanical approaches. Throughout the book, contributing authors will highlight advances in geomaterials modeling, while also pointing out practical implications for engineers. Topics discussed include multi-scale modeling of cohesive-less geomaterials, including multi-physical processes, but also the effects of particle breakage, large deformations on the response of the material at the specimen scale and concrete materials, together with clays as cohesive geomaterials. The book concludes by looking at some engineering problems involving larger scales. Identifies contributions in the field of geomechanics Focuses on multi-scale linkages at small scales Presents numerical simulations by discrete elements and tools of homogenization or change of scale

Author : Francesco dell'Isola,Victor A. Eremeyev,Alexey Porubov
Publisher : Springer
Page : 369 pages
File Size : 54,6 Mb
Release : 2018-02-27
Category : Science
ISBN : 9783319736945

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Advances in Mechanics of Microstructured Media and Structures by Francesco dell'Isola,Victor A. Eremeyev,Alexey Porubov Pdf

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.

Author : Ross C. McPhedran,Lindsay C. Botten,Nicolae-A.P. Nicorovici
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 53,6 Mb
Release : 2006-05-02
Category : Science
ISBN : 9780306469558

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IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media by Ross C. McPhedran,Lindsay C. Botten,Nicolae-A.P. Nicorovici Pdf

The IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media took place at the University of Sydney from January 18- 22, 1999. It brought together leading researchers from eleven countries for a week-long meeting, with the aim of providing cross-links between the com- nities studying related problems involving elastic and electromagnetic waves in structured materials. After the meeting, participants were invited to submit articles based on their presentations, which were refereed and assembled to constitute these Proceedings. The topics covered here represent areas at the forefront of research intoelastic and electromagnetic waves. They include effect of nonlinearity, diffusion and multiple scattering on waves, as well as asymptotic and numerical techniques. Composite materials are discussed in depth, with example systems ranging fromdusty plasmas to a magneto-elastic microstructured system. Also included are studies of homogenisation, that field which seeks to determine equivalent homogeneous systems which can give equivalent wave properties to structured materials, and inverse problems, in which waves are used as a probe to infer structural details concerning scattering systems. There are also strong groups of papers on the localization of waves by random systems, and photonic and phononic band gap materials. These are being developed by analogue with semiconductors for electrons, and hold out the promise of enabling designers to control the propagation of waves through materials in novel ways. We would like to thank the other members of the Scientific Committee (A.

Author : Volodymyr Tonkonogyi,Vitalii Ivanov,Justyna Trojanowska,Gennadii Oborskyi,Ivan Pavlenko
Publisher : Springer Nature
Page : 591 pages
File Size : 53,7 Mb
Release : 2023-08-30
Category : Technology & Engineering
ISBN : 9783031427787

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Advanced Manufacturing Processes V by Volodymyr Tonkonogyi,Vitalii Ivanov,Justyna Trojanowska,Gennadii Oborskyi,Ivan Pavlenko Pdf

This book offers a timely snapshot of innovative research and developments at the interface between design, manufacturing, materials, mechanical and process engineering, and quality assurance. It covers various manufacturing processes, such as grinding, milling, broaching, and gear machining, including additive manufacturing, vibrational-centrifugal strengthening, laser-ultrasonic surface hardening, and antifriction coatings. It focuses on computer and numerical simulation, mathematical and integrated process modeling, parametric synthesis, virtual prototyping, automatic control, design of manufacturing, mechanical and mechatronics systems. It describes innovative cutting and abrasive processes and combined technologies. It also covers the formation, strengthening, and thermomechanical rolling. It also investigates the temperature field behavior, thermal stability, wear resistance, and other processes of various materials. Gathering the best papers presented at the 5th Grabchenko’s International Conference on Advanced Manufacturing Processes (InterPartner-2023), held on September 5–8, 2023, in Odessa, Ukraine, this book provides a comprehensive and up-to-date examination of design, manufacturing, mechanical, materials, and process engineering, as well as quality assurance trends and technologies. Yet, it also aims at fostering international and interdisciplinary communication and collaborations, offering a bridge between the academic and industrial sector.

Author : Vladimir Kobelev
Publisher : Springer Nature
Page : 368 pages
File Size : 50,5 Mb
Release : 2024-01-05
Category : Technology & Engineering
ISBN : 9783031346323

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Fundamentals of Structural Optimization by Vladimir Kobelev Pdf

This book serves as a complementary resource to the courses "Advanced structural optimization" and "Structural optimization in automotive engineering" taught by the author at the University of Siegen, North-Rhine-Westphalia, Germany since 2001. Focusing on optimization problems in the field of structural engineering, this book offers a rigorous and analytical approach to problem-solving. Each chapter of the book begins with a brief overview of classical results and the derivation of governing equations. The solutions to optimization problems are then presented in a closed form, with the author guiding readers through several analytical methods for solving stability and contact tasks. Throughout the book, the author takes care to ensure that even readers without extensive experience in numerical computations can understand the conclusion of each relation. The book features several basic optimization problems, selected from a large pool of previously solved problems, with a particular emphasis on the unique features of optimization problems. By presenting analytical solutions, readers can better understand other known optimization problems and gain the skills needed to independently set and solve new problems. With its comprehensive and rigorous approach to problem-solving, this book is sure to enhance the reader's understanding of the field and equip them with the skills needed to tackle new challenges.

Author : Uwe Kähler,Michael Reissig,Irene Sabadini,Jasson Vindas
Publisher : Springer Nature
Page : 696 pages
File Size : 49,8 Mb
Release : 2023-12-01
Category : Mathematics
ISBN : 9783031363757

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Analysis, Applications, and Computations by Uwe Kähler,Michael Reissig,Irene Sabadini,Jasson Vindas Pdf

This volume contains the contributions of the participants of the 13th International ISAAC Congress 2021, held in Ghent, Belgium. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on current research in mathematical analysis and its various interdisciplinary applications.

Author : Holm Altenbach,Wolfgang H. Müller,Bilen Emek Abali
Publisher : Springer Nature
Page : 231 pages
File Size : 51,8 Mb
Release : 2019-11-04
Category : Technology & Engineering
ISBN : 9783030304065

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Higher Gradient Materials and Related Generalized Continua by Holm Altenbach,Wolfgang H. Müller,Bilen Emek Abali Pdf

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.

Author : Ioannis Vardoulakis (Deceased)
Publisher : Springer
Page : 179 pages
File Size : 49,5 Mb
Release : 2018-08-01
Category : Science
ISBN : 9783319951560

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Cosserat Continuum Mechanics by Ioannis Vardoulakis (Deceased) Pdf

This textbook explores the theory of Cosserat continuum mechanics, and covers fundamental tools, general laws and major models, as well as applications to the mechanics of granular media. While classical continuum mechanics is based on the axiom that the stress tensor is symmetric, theories such as that expressed in the seminal work of the brothers Eugène and François Cosserat are characterized by a non-symmetric stress tensor. The use of von Mises motor mechanics is introduced, for the compact mathematical description of the mechanics and statics of Cosserat continua, as the Cosserat continuum is a manifold of oriented “rigid particles” with 3 dofs of displacement and 3 dofs of rotation, rather than a manifold of points with 3 dofs of displacement. Here, the analysis is restricted to infinitesimal particle displacements and rotations. This book is intended as a valuable supplement to standard Continuum Mechanics courses, and graduate students as well as researchers in mechanics and applied mathematics will benefit from its self-contained text, which is enriched by numerous examples and exercises.

Author : Michael Ruzhansky
Publisher : Springer Nature
Page : 302 pages
File Size : 55,7 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9783031425394

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Extended Abstracts 2021/2022 by Michael Ruzhansky Pdf

Author : David R. Axelrad
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642514852

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Stochastic Mechanics of Discrete Media by David R. Axelrad Pdf

For the past three decades the mechanics of structured media, frequently called micromechanics, has been recognized as an important new approach in the analysis of material behaviour. This book discusses the modern use of mathematical analysis to the stochastic mechanics of discrete media. The theoretical study is therefore based on set and measure theory and the application of point processes.