Generalized Models And Non Classical Approaches In Complex Materials 1

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Generalized Models and Non-classical Approaches in Complex Materials 1

Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch
Generalized Models and Non classical Approaches in Complex Materials 1 Book PDF

Author : Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch
Publisher : Springer
Page : 760 pages
File Size : 48,5 Mb
Release : 2018-03-24
Category : Science
ISBN : 9783319724409

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Generalized Models and Non-classical Approaches in Complex Materials 1 by Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch Pdf

This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Generalized Models and Non-classical Approaches in Complex Materials 2

Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch
Generalized Models and Non classical Approaches in Complex Materials 2 Book PDF

Author : Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch
Publisher : Springer
Page : 328 pages
File Size : 49,8 Mb
Release : 2018-06-26
Category : Science
ISBN : 9783319775043

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Generalized Models and Non-classical Approaches in Complex Materials 2 by Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch Pdf

This book is the 2nd special volume dedicated to the memory of Gérard Maugin. Over 30 leading scientists present their contribution to reflect the vast field of scientific activity of Gérard Maugin. The topics of contributions employing often non-standard methods (generalized model) in this volume show the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro-macro aspects, computational efforts, possibilities to identify the constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Dynamics, Strength of Materials and Durability in Multiscale Mechanics

Francesco dell'Isola,Leonid Igumnov
Dynamics Strength of Materials and Durability in Multiscale Mechanics Book PDF

Author : Francesco dell'Isola,Leonid Igumnov
Publisher : Springer Nature
Page : 403 pages
File Size : 51,6 Mb
Release : 2020-11-01
Category : Science
ISBN : 9783030537555

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Dynamics, Strength of Materials and Durability in Multiscale Mechanics by Francesco dell'Isola,Leonid Igumnov Pdf

This book reviews the mathematical modeling and experimental study of systems involving two or more different length scales. The effects of phenomena occurring at the lower length scales on the behavior at higher scales are of intrinsic scientific interest, but can also be very effectively used to determine the behavior at higher length scales or at the macro-level. Efforts to exploit this micro- and macro-coupling are, naturally, being pursued with regard to every aspect of mechanical phenomena. This book focuses on the changes imposed on the dynamics, strength of materials and durability of mechanical systems by related multiscale phenomena. In particular, it addresses: 1: the impacts of effective dissipation due to kinetic energy trapped at lower scales 2: wave propagation in generalized continua 3: nonlinear phenomena in metamaterials 4: the formalization of more general models to describe the exotic behavior of meta-materials 5: the design and study of microstructures aimed at increasing the toughness and durability of novel materials

Discrete and Continuum Models for Complex Metamaterials

Francesco dell'Isola,David J. Steigmann
Discrete and Continuum Models for Complex Metamaterials Book PDF

Author : Francesco dell'Isola,David J. Steigmann
Publisher : Cambridge University Press
Page : 409 pages
File Size : 47,5 Mb
Release : 2020-03-12
Category : Science
ISBN : 9781107087736

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Discrete and Continuum Models for Complex Metamaterials by Francesco dell'Isola,David J. Steigmann Pdf

Explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Including a comprehensive bibliography and historical review of the field, and a pedagogical mathematical treatment, it is ideal for graduate students and researchers in mechanical and civil engineering, and materials science.

Sixty Shades of Generalized Continua

Holm Altenbach,Arkadi Berezovski,Francesco dell'Isola,Alexey Porubov
Sixty Shades of Generalized Continua Book PDF

Author : Holm Altenbach,Arkadi Berezovski,Francesco dell'Isola,Alexey Porubov
Publisher : Springer Nature
Page : 781 pages
File Size : 45,6 Mb
Release : 2023-02-13
Category : Science
ISBN : 9783031261862

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Sixty Shades of Generalized Continua by Holm Altenbach,Arkadi Berezovski,Francesco dell'Isola,Alexey Porubov Pdf

In this book, well-known scientists discuss modern aspects of generalized continua, in order to better understand modern materials and advanced structures. They possess complicated internal structure, and it requires the development of new approaches to model such structures and new effects caused by it. This book combines fundamental contributions in honor of Victor Eremeyev and his 60th birthday.

Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials

Mezhlum A. Sumbatyan
Wave Dynamics Mechanics and Physics of Microstructured Metamaterials Book PDF

Author : Mezhlum A. Sumbatyan
Publisher : Springer
Page : 254 pages
File Size : 43,9 Mb
Release : 2019-05-17
Category : Technology & Engineering
ISBN : 9783030174705

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Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials by Mezhlum A. Sumbatyan Pdf

This book addresses theoretical and experimental methods for exploring microstructured metamaterials, with a special focus on wave dynamics, mechanics, and related physical properties. The authors use various mathematical and physical approaches to examine the mechanical properties inherent to particular types of metamaterials. These include: • Boundary value problems in reduced strain gradient elasticity for composite fiber-reinforced metamaterials • Self-organization of molecules in ferroelectric thin films • Combined models for surface layers of nanostructures • Computer simulation at the micro- and nanoscale • Surface effects with anisotropic properties and imperfect temperature contacts • Inhomogeneous anisotropic metamaterials with uncoupled and coupled surfaces or interfaces • Special interface finite elements and other numerical and analytical methods for composite structures

Modelling of Complex Signals in Nerves

Jüri Engelbrecht,Kert Tamm,Tanel Peets
Modelling of Complex Signals in Nerves Book PDF

Author : Jüri Engelbrecht,Kert Tamm,Tanel Peets
Publisher : Springer Nature
Page : 186 pages
File Size : 49,5 Mb
Release : 2021-05-11
Category : Mathematics
ISBN : 9783030750398

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Modelling of Complex Signals in Nerves by Jüri Engelbrecht,Kert Tamm,Tanel Peets Pdf

This book describes fundamental physical principles, together with their mathematical formulations, for modelling the propagation of signals in nerve fibres. Above all, it focuses on the complex electro-mechano-thermal process that produces an ensemble of waves composed of several components, besides the action potential. These components include mechanical waves in the biomembrane and axoplasm, together with the temperature change. Pursuing a step-by-step approach, the content moves from physics and mathematics, to describing the physiological effects, and finally to modelling the coupling effects. The assumptions and hypotheses used for modelling, as well as selected helpful concepts from continuum mechanics, are systematically explained, and the modelling is illustrated using the outcomes of numerical simulation. The book is chiefly intended for researchers and graduate students, providing them with a detailed description of how to model the complex physiological processes in nerve fibres.

New Achievements in Continuum Mechanics and Thermodynamics

Bilen Emek Abali,Holm Altenbach,Francesco dell'Isola,Victor A. Eremeyev,Andreas Öchsner
New Achievements in Continuum Mechanics and Thermodynamics Book PDF

Author : Bilen Emek Abali,Holm Altenbach,Francesco dell'Isola,Victor A. Eremeyev,Andreas Öchsner
Publisher : Springer
Page : 586 pages
File Size : 48,8 Mb
Release : 2019-03-13
Category : Science
ISBN : 9783030133078

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New Achievements in Continuum Mechanics and Thermodynamics by Bilen Emek Abali,Holm Altenbach,Francesco dell'Isola,Victor A. Eremeyev,Andreas Öchsner Pdf

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.

Fractional Dynamics on Networks and Lattices

Thomas Michelitsch,Alejandro Perez Riascos,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau
Fractional Dynamics on Networks and Lattices Book PDF

Author : Thomas Michelitsch,Alejandro Perez Riascos,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau
Publisher : John Wiley & Sons
Page : 340 pages
File Size : 49,6 Mb
Release : 2019-04-30
Category : Technology & Engineering
ISBN : 9781786301581

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Fractional Dynamics on Networks and Lattices by Thomas Michelitsch,Alejandro Perez Riascos,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau Pdf

This book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach. Part 1 is devoted to the study of local and non-local random walks. It shows how non-local random walk strategies can be defined by functions of the Laplacian matrix that maintain the stochasticity of the transition probabilities. A major result is that only two types of functions are admissible: type (i) functions generate asymptotically local walks with the emergence of Brownian motion, whereas type (ii) functions generate asymptotically scale-free non-local “fractional” walks with the emergence of Lévy flights. In Part 2, fractional dynamics and Lévy flight behavior are analyzed thoroughly, and a generalization of Pólya's classical recurrence theorem is developed for fractional walks. The authors analyze primary fractional walk characteristics such as the mean occupation time, the mean first passage time, the fractal scaling of the set of distinct nodes visited, etc. The results show the improved search capacities of fractional dynamics on networks.

Mathematical Applications in Continuum and Structural Mechanics

Francesco Marmo,Salvatore Sessa,Emilio Barchiesi,Mario Spagnuolo
Mathematical Applications in Continuum and Structural Mechanics Book PDF

Author : Francesco Marmo,Salvatore Sessa,Emilio Barchiesi,Mario Spagnuolo
Publisher : Springer Nature
Page : 275 pages
File Size : 51,6 Mb
Release : 2021-11-30
Category : Technology & Engineering
ISBN : 9783030427078

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Mathematical Applications in Continuum and Structural Mechanics by Francesco Marmo,Salvatore Sessa,Emilio Barchiesi,Mario Spagnuolo Pdf

This book presents a range of research projects focusing on innovative numerical and modeling strategies for the nonlinear analysis of structures and metamaterials. The topics covered concern various analysis approaches based on classical finite element solutions, structural optimization, and analytical solutions in order to present a comprehensive overview of the latest scientific advances. Although based on pioneering research, the contributions are focused on immediate and direct application in practice, providing valuable tools for researchers and practicing professionals alike.

The Complete Works of Gabrio Piola: Volume II

Francesco dell'Isola,Ugo Andreaus,Antonio Cazzani,Raffaele Esposito,Luca Placidi,Umberto Perego,Giulio Maier,Pierre Seppecher
The Complete Works of Gabrio Piola Volume II Book PDF

Author : Francesco dell'Isola,Ugo Andreaus,Antonio Cazzani,Raffaele Esposito,Luca Placidi,Umberto Perego,Giulio Maier,Pierre Seppecher
Publisher : Springer
Page : 949 pages
File Size : 53,9 Mb
Release : 2018-10-06
Category : Science
ISBN : 9783319706924

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The Complete Works of Gabrio Piola: Volume II by Francesco dell'Isola,Ugo Andreaus,Antonio Cazzani,Raffaele Esposito,Luca Placidi,Umberto Perego,Giulio Maier,Pierre Seppecher Pdf

This book presents the second volume of Piola’s original Italian text together with the English-language translation and comments, showing convincingly that Gabrio Piola’s work must still be regarded as a modern theory. Gabrio Piola’s work has had an enormous impact on the development of applied mathematics and continuum mechanics. As such, a committee of scientific experts took it upon themselves to translate his complete works. In a second step, they commented on Piola’s work and compared it to modern theories in mechanics in order to stress Piola’s impact on modern science and prove and confirm that he achieved significant milestones in applied mathematics.

Applied Wave Mathematics II

Arkadi Berezovski,Tarmo Soomere
Applied Wave Mathematics II Book PDF

Author : Arkadi Berezovski,Tarmo Soomere
Publisher : Springer Nature
Page : 376 pages
File Size : 52,7 Mb
Release : 2019-11-16
Category : Mathematics
ISBN : 9783030299514

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Applied Wave Mathematics II by Arkadi Berezovski,Tarmo Soomere Pdf

This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia. The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role. The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem. Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues. All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.

Constitutive Modelling of Solid Continua

José Merodio,Raymond Ogden
Constitutive Modelling of Solid Continua Book PDF

Author : José Merodio,Raymond Ogden
Publisher : Springer Nature
Page : 397 pages
File Size : 45,6 Mb
Release : 2019-11-14
Category : Science
ISBN : 9783030315474

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Constitutive Modelling of Solid Continua by José Merodio,Raymond Ogden Pdf

This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.

Nonlinear Wave Dynamics of Materials and Structures

Holm Altenbach,Victor A. Eremeyev,Igor S. Pavlov,Alexey V. Porubov
Nonlinear Wave Dynamics of Materials and Structures Book PDF

Author : Holm Altenbach,Victor A. Eremeyev,Igor S. Pavlov,Alexey V. Porubov
Publisher : Springer Nature
Page : 473 pages
File Size : 52,6 Mb
Release : 2020-04-22
Category : Technology & Engineering
ISBN : 9783030387082

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Nonlinear Wave Dynamics of Materials and Structures by Holm Altenbach,Victor A. Eremeyev,Igor S. Pavlov,Alexey V. Porubov Pdf

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.

Stability of Discrete Non-conservative Systems

Jean Lerbet,Noel Challamel,Francois Nicot,Felix Darve
Stability of Discrete Non conservative Systems Book PDF

Author : Jean Lerbet,Noel Challamel,Francois Nicot,Felix Darve
Publisher : Elsevier
Page : 291 pages
File Size : 49,6 Mb
Release : 2020-11-27
Category : Technology & Engineering
ISBN : 9780081027653

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Stability of Discrete Non-conservative Systems by Jean Lerbet,Noel Challamel,Francois Nicot,Felix Darve Pdf

Stability of Discrete Non-conservative Systems first exposes the general concepts and results concerning stability issues. It then presents an approach of stability that is different from Lyapunov which leads to the second order work criterion. Thanks to the new concept of Kinematic Structural Stability, a complete equivalence between two approaches of stability is obtained for a divergent type of stability. Extensions to flutter instability, to continuous systems, and to the dual questions concerning the measure of non-conservativeness provides a full, fresh look at these fundamental questions. A special chapter is devoted to applications for granular systems. Presents a structured review on stability questions Provides analytical methods and key concepts that may be used in non-conservative frameworks like hypoelasticity