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Mechanics and Physics of Structured Media

Author: Igor Andrianov

Publisher: Academic Press

Published: 2022-01-20

Total Pages: 528

ISBN-13: 0323906532

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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

Book Synopsis Mechanics and Physics of Structured Media by : Igor Andrianov

Download or read book Mechanics and Physics of Structured Media written by Igor Andrianov and published by Academic Press. This book was released on 2022-01-20 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Mechanics of Structured Media

Author: A.P.S. Selvadurai

Publisher: Elsevier

Published: 2016-06-06

Total Pages: 513

ISBN-13: 1483164136

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Mechanics of Structured Media

Book Synopsis Mechanics of Structured Media by : A.P.S. Selvadurai

Download or read book Mechanics of Structured Media written by A.P.S. Selvadurai and published by Elsevier. This book was released on 2016-06-06 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics of Structured Media

Random Theory of Deformation of Structured Media. Thermodynamics of Deformation in Structured Media

Author: D.R. Axelrad

Publisher: Springer

Published: 2014-05-04

Total Pages: 56

ISBN-13: 3709129362

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Book Synopsis Random Theory of Deformation of Structured Media. Thermodynamics of Deformation in Structured Media by : D.R. Axelrad

Download or read book Random Theory of Deformation of Structured Media. Thermodynamics of Deformation in Structured Media written by D.R. Axelrad and published by Springer. This book was released on 2014-05-04 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modelling of Waves in Multi-Scale Structured Media

Author: Alexander B. Movchan

Publisher: CRC Press

Published: 2017-11-09

Total Pages: 266

ISBN-13: 1351651420

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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.

Book Synopsis Mathematical Modelling of Waves in Multi-Scale Structured Media by : Alexander B. Movchan

Download or read book Mathematical Modelling of Waves in Multi-Scale Structured Media written by Alexander B. Movchan and published by CRC Press. This book was released on 2017-11-09 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Analysis of Structured Media

Author: Simon Gluzman

Publisher: Academic Press

Published: 2017-09-20

Total Pages: 328

ISBN-13: 0128110473

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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

Book Synopsis Computational Analysis of Structured Media by : Simon Gluzman

Download or read book Computational Analysis of Structured Media written by Simon Gluzman and published by Academic Press. This book was released on 2017-09-20 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Advances in Mechanics of Microstructured Media and Structures

Author: Francesco dell'Isola

Publisher: Springer

Published: 2018-02-27

Total Pages: 369

ISBN-13: 3319736949

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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.

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 369 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.

Advances in Multi-Physics and Multi-Scale Couplings in Geo-Environmental Mechanics

Author: Francois Nicot

Publisher: Elsevier

Published: 2017-11-20

Total Pages: 386

ISBN-13: 0081025963

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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

Book Synopsis Advances in Multi-Physics and Multi-Scale Couplings in Geo-Environmental Mechanics by : Francois Nicot

Download or read book Advances in Multi-Physics and Multi-Scale Couplings in Geo-Environmental Mechanics written by Francois Nicot and published by Elsevier. This book was released on 2017-11-20 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Advanced Manufacturing Processes V

Author: Volodymyr Tonkonogyi

Publisher: Springer Nature

Published: 2023-08-30

Total Pages: 591

ISBN-13: 3031427785

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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.

Book Synopsis Advanced Manufacturing Processes V by : Volodymyr Tonkonogyi

Download or read book Advanced Manufacturing Processes V written by Volodymyr Tonkonogyi and published by Springer Nature. This book was released on 2023-08-30 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stochastic Mechanics of Discrete Media

Author: David R. Axelrad

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 346

ISBN-13: 3642514855

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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.

Book Synopsis Stochastic Mechanics of Discrete Media by : David R. Axelrad

Download or read book Stochastic Mechanics of Discrete Media written by David R. Axelrad and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fundamentals of Structural Optimization

Author: Vladimir Kobelev

Publisher: Springer Nature

Published: 2024-01-05

Total Pages: 368

ISBN-13: 3031346327

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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.

Book Synopsis Fundamentals of Structural Optimization by : Vladimir Kobelev

Download or read book Fundamentals of Structural Optimization written by Vladimir Kobelev and published by Springer Nature. This book was released on 2024-01-05 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.