Nonlinear Theory Of Electroelastic And Magnetoelastic Interactions

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Nonlinear Theory of Electroelastic and Magnetoelastic Interactions

Author : Luis Dorfmann
Publisher : Springer Science & Business Media
ISBN 13 : 1461495962
Total Pages : 318 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Nonlinear Theory of Electroelastic and Magnetoelastic Interactions by : Luis Dorfmann

Download or read book Nonlinear Theory of Electroelastic and Magnetoelastic Interactions written by Luis Dorfmann and published by Springer Science & Business Media. This book was released on 2014-02-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified theory on nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. The authors include an overview of the basic principles of the classic theory of electromagnetism from the fundamental notions of point charges and magnetic dipoles through to distributions of charge and current in a non-deformable continuum, time-dependent electromagnetic fields and Maxwell’s equations. They summarize relevant theories of continuum mechanics, required to account for the deformability of material and present a constitutive framework for the nonlinear magneto-and electroelastic interactions in a highly deformable material. The equations contained in the book formulate and solve a variety of representative boundary-value problems for both nonlinear magnetoelasticity and electroelasticity.

Nonlinear Theory of Electroelastic and Magnetoelastic Interactions

Author : A. Luis Dorfmann
Publisher : Springer
ISBN 13 : 9781461495970
Total Pages : 313 pages
Book Rating : 4.4/5 (959 download)

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Book Synopsis Nonlinear Theory of Electroelastic and Magnetoelastic Interactions by : A. Luis Dorfmann

Download or read book Nonlinear Theory of Electroelastic and Magnetoelastic Interactions written by A. Luis Dorfmann and published by Springer. This book was released on 2014-02-07 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified theory on nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. The authors include an overview of the basic principles of the classic theory of electromagnetism from the fundamental notions of point charges and magnetic dipoles through to distributions of charge and current in a non-deformable continuum, time-dependent electromagnetic fields and Maxwell’s equations. They summarize relevant theories of continuum mechanics, required to account for the deformability of material and present a constitutive framework for the nonlinear magneto-and electroelastic interactions in a highly deformable material. The equations contained in the book formulate and solve a variety of representative boundary-value problems for both nonlinear magnetoelasticity and electroelasticity.

Constitutive Modelling of Solid Continua

Author : José Merodio
Publisher : Springer Nature
ISBN 13 : 3030315479
Total Pages : 397 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Constitutive Modelling of Solid Continua by : José Merodio

Download or read book Constitutive Modelling of Solid Continua written by José Merodio and published by Springer Nature. This book was released on 2019-11-14 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Magneto-Active Polymers

Author : Jean-Paul Pelteret
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110418622
Total Pages : 412 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Magneto-Active Polymers by : Jean-Paul Pelteret

Download or read book Magneto-Active Polymers written by Jean-Paul Pelteret and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-12-16 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: From fabrication to testing and modeling this monograph covers all aspects on the materials class of magneto active polymers. The focus is on computational modeling of manufacturing processes and material parameters. As other smart materials, these elastomers have the ability to change electrical and mechanical properties upon application of magnetic fields. This allows for novel applications ranging from biomedical engineering to mechatronics.

Advanced Topics in Mechanics of Materials, Structures and Construction

Author : Erasmo Carrera
Publisher : Materials Research Forum LLC
ISBN 13 : 1644902583
Total Pages : 833 pages
Book Rating : 4.6/5 (449 download)

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Book Synopsis Advanced Topics in Mechanics of Materials, Structures and Construction by : Erasmo Carrera

Download or read book Advanced Topics in Mechanics of Materials, Structures and Construction written by Erasmo Carrera and published by Materials Research Forum LLC. This book was released on 2023-09-01 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents 81 papers referring to the properties and applications of technologically important materials. Topics covered include material characterization, environmental impact, probabilistic assessment, failure analysis, vibration analysis, AI-based predictions, conceptual models, thermo-mechanical properties, numerical models, design and simulation, industrial performance and failure analysis. Keywords: Laminated Sandwich Shell, Polymer Nanocomposite, Cellular Glass Foam, Porous Spherical Shells, Cracks Between Dissimilar Materials, Soil Stabilization, Dynamic Strain Aging, Composite Plates, Recycled Concrete Aggregates, Preparation & Characterization of Nanoparticles, Auxetic Materials, Biomechanical Model, Cellular Lightweight Concrete, Thermoplastic Materials, Powder Metal Gears, Fibre Reinforced Concrete, Adhesively Bonded Composites, Solar PV Power, Kirigami Folded Structures, Steel Fibres, Solar Panels, Electric Discharge Machining, Energy Harvesting, Energy Conversion, Glass/Epoxy Pipe, Manufacturing Strategy, Additive Manufacturing, Fibre-Reinforced Aluminum, Telescopic Paraboloidal Solar Concentrator, Energy Storage, Machining Waste Fibers, Numerical Simulation, Foam Concrete, Heat Exchangers, Nanofluids, Spherical Cavity Explosion, Cross-Ply Structure, Reinforced Concrete Walls, Artificial Intelligence, l-shaped Metamaterials, Sand-Bentonite Liners, Layered Composite Arches, Stitched Sandwich Structures, Semilinear Hyperelastic Solids, Filament Fabrication, Polyethylene Bottles, Spherical Shells, Steel Boiler Tub, Mortars, 3D Printing, Electromagnetic Forming.

Magnetoelastic Interactions

Author : William F.Jr. Brown
Publisher : Springer Science & Business Media
ISBN 13 : 3642873960
Total Pages : 137 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Magnetoelastic Interactions by : William F.Jr. Brown

Download or read book Magnetoelastic Interactions written by William F.Jr. Brown and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modern theory of ferromagnetic magnetization processes has from the beginning recognized the importance of magnetoelastic inter actions. Most of the magnetoelastic calculations, however, have been basecl on the theory developed by R. BECKER and others in the early 1930's. That theory has several defects; how to remedy them is the subject of this monograph. I first became aware of the shortcomings of the traditional theory thru a critical study of electric and magnetic forces, which I undcrtook as a member of the COULOMB'S Law Committee of the American Asso ciation of Physics Teachers. My conclusions were published in 1951 in the American 10Z/rnal of Physics; an application of them to a problem in magnetostriction was published in 1953 in Reviews oflvlodern Physics. With the development, in 1956, of the "nucleation field" theory of micromagnetics, the need for a systematic and self-consistent theory of magnetoelastic interactions became more pressing. The traditional theory predicted that the nucleation field should differ negligibly from that of a rigid body; but my 1953 magnetostriction calculation suggested that terms omitted in that theory might be important. In the academic year 1963/64, 1 was finally able - thanks to a sabbatical furlough - to find the time needed for systematic development of a basic theory of magnetoelastic interactions in a ferromagnet.

Recent Advances in Computational Mechanics and Simulations

Author : Sandip Kumar Saha
Publisher : Springer Nature
ISBN 13 : 9811583153
Total Pages : 644 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Recent Advances in Computational Mechanics and Simulations by : Sandip Kumar Saha

Download or read book Recent Advances in Computational Mechanics and Simulations written by Sandip Kumar Saha and published by Springer Nature. This book was released on 2020-11-13 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents selected papers from the 7th International Congress on Computational Mechanics and Simulation held at IIT Mandi, India. The papers discuss the development of mathematical models representing physical phenomena and applying modern computing methods and simulations to analyse them. The studies cover recent advances in the fields of nano mechanics and biomechanics, simulations of multiscale and multiphysics problems, developments in solid mechanics and finite element method, advancements in computational fluid dynamics and transport phenomena, and applications of computational mechanics and techniques in emerging areas. The volume will be of interest to researchers and academics from civil engineering, mechanical engineering, aerospace engineering, materials engineering/science, physics, mathematics and other disciplines.

Constitutive Models for Rubber X

Author : Alexander Lion
Publisher : CRC Press
ISBN 13 : 1351840401
Total Pages : 626 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Constitutive Models for Rubber X by : Alexander Lion

Download or read book Constitutive Models for Rubber X written by Alexander Lion and published by CRC Press. This book was released on 2017-08-15 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to develop innovative products, to reduce development costs and the number of prototypes and to accelerate development processes, numerical simulations become more and more attractive. As such, numerical simulations are instrumental in understanding complicated material properties like chemical ageing, crack propagation or the strain- and temperature-induced crystallisation of rubber. Therefore, experimentally validated and physically meaningful constitutive models are indispensable. Elastomers are used for products like tyres, engine and suspension mounts or seals, to name a few. The interest in modelling the quasi-static stress-strain behaviour was dominant in the past decades, but nowadays the interests also include influences of environmental conditions. The latest developments on the material behaviour of elastomers are collected in the present volume. Constitutive Models for Rubber X is a comprehensive compilation of nearly all oral and poster contributions to the European Conference on Constitutive Models for Rubber (Munich, 28-31 August 2017). The 95 highly topical contributions reflect the state of-the-art in material modelling and testing of elastomers. They cover the fields of material testing and processing, filler reinforcement, electromagnetic sensitive elastomers, dynamic properties, constitutive modelling, micromechanics, finite element implementation, stress softening, chemical ageing, fatigue and durability. In the area of rubbery materials and structures, applied research will play an important role also in the coming decades. Constitutive Models for Rubber X is of interest to developers and researchers involved in the rubber processing and CAE software industries, as well as for academics in nearly all disciplines of engineering and material sciences.

Constitutive Models for Rubber IX

Author : Bohdana Marvalova
Publisher : CRC Press
ISBN 13 : 1315658151
Total Pages : 728 pages
Book Rating : 4.3/5 (156 download)

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Book Synopsis Constitutive Models for Rubber IX by : Bohdana Marvalova

Download or read book Constitutive Models for Rubber IX written by Bohdana Marvalova and published by CRC Press. This book was released on 2015-10-22 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unique properties of rubber make it ideal for use in a wide variety of engineering applications such as tyres, engine mounts, shock absorbers, flexible joints and seals. Developing diverse elastomeric elements for various structures involves numerical simulations of their performance, which are based on reliable constitutive models of the mater

Stochastic Elasticity

Author : L. Angela Mihai
Publisher : Springer Nature
ISBN 13 : 3031066928
Total Pages : 283 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Stochastic Elasticity by : L. Angela Mihai

Download or read book Stochastic Elasticity written by L. Angela Mihai and published by Springer Nature. This book was released on 2022-09-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic elasticity is a fast developing field that combines nonlinear elasticity and stochastic theories in order to significantly improve model predictions by accounting for uncertainties in the mechanical responses of materials. However, in contrast to the tremendous development of computational methods for large-scale problems, which have been proposed and implemented extensively in recent years, at the fundamental level, there is very little understanding of the uncertainties in the behaviour of elastic materials under large strains. Based on the idea that every large-scale problem starts as a small-scale data problem, this book combines fundamental aspects of finite (large-strain) elasticity and probability theories, which are prerequisites for the quantification of uncertainties in the elastic responses of soft materials. The problems treated in this book are drawn from the analytical continuum mechanics literature and incorporate random variables as basic concepts along with mechanical stresses and strains. Such problems are interesting in their own right but they are also meant to inspire further thinking about how stochastic extensions can be formulated before they can be applied to more complex physical systems.

The Catalogue of Computational Material Models

Author : Paul Steinmann
Publisher : Springer Nature
ISBN 13 : 3030636844
Total Pages : 402 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis The Catalogue of Computational Material Models by : Paul Steinmann

Download or read book The Catalogue of Computational Material Models written by Paul Steinmann and published by Springer Nature. This book was released on 2021-03-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive account of the formulation and computational treatment of basic geometrically linear models in 1D. To set the stage, it assembles some preliminaries regarding necessary modelling, computational and mathematical tools. Thereafter, the remaining parts are concerned with the actual catalogue of computational material models. To this end, after starting out with elasticity as a reference, further 15 different basic variants of material models (5 x each of {visco-elasticity, plasticity, visco-plasticity}, respectively) are systematically explored. The presentation for each of these basic material models is a stand-alone account and follows in each case the same structure. On the one hand, this allows, in the true sense of a catalogue, to consult each of the basic material models separately without the need to refer to other basic material models. On the other hand, even though this somewhat repetitious concept may seem tedious, it allows to compare the formulation and resulting algorithmic setting of the various basic material models and thereby to uncover, in detail, similarities and differences. In particular, the response of each basic material model is analysed for the identical histories (Zig-Zag, Sine, Ramp) of prescribed strain and stress so as to clearly showcase and to contrast to each other the characteristics of the various modelling options.

Continuum Mechanics - Volume III

Author : José Merodio
Publisher : EOLSS Publications
ISBN 13 : 1848263740
Total Pages : 388 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis Continuum Mechanics - Volume III by : José Merodio

Download or read book Continuum Mechanics - Volume III written by José Merodio and published by EOLSS Publications. This book was released on 2011-11-30 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of continuum mechanics is to predict the response of a body that is under the action of external and/or internal influences, i.e. to capture and describe different mechanisms associated with the motion of a body that is under the action of loading. A body in continuum mechanics is considered to be matter continuously distributed in space. Hence, no attention is given to the microscopic (atomic) structure of real materials although non-classical generalized theories of continuum mechanics are able to deal with the mesoscopic structure of matter (i.e. defects, cracks, dispersive lengths, ...). Matter occupies space in time and the response of a body in continuum mechanics is restricted to the Newtonian space-time of classical mechanics in this volume. Einstein’s theory of relativity is not considered. In the classical sense, loading is considered as any action that changes the motion of the body. This includes, for instance, a change in temperature or a force applied. By introducing the concept of configurational forces a load may also be considered as a force that drives a change in the material space, for example the opening of a crack. Continuum mechanics refers to field descriptions of phenomena that are usually modeled by partial differential equations and, from a mathematical point of view, require non-standard knowledge of non-simple technicalities. One purpose in this volume has been to present the different subjects in a self-contained way for a general audience. The organization of the volume is as follows. Mathematically, to predict the response of a body it is necessary to formulate boundary value problems governed by balance laws. The theme of the volume, that is an overview of the subject, has been written with this idea in mind for beginners in the topic. Chapter 1 is an introduction to continuum mechanics based on a one-dimensional framework in which, simultaneously, a more detailed organization of the chapters of this volume is given. A one-dimensional approach to continuum mechanics in some aspects maybe misleading since the analysis is oversimplified. Nevertheless, it allows us to introduce the subject through the early basic steps of the continuum analysis for a general audience. Chapters 3, 4 and 5 are devoted to the mathematical setting of continuum analysis: kinematics, balance laws and thermodynamics, respectively. Chapters 6 and 7 are devoted to constitutive equations. Chapters 8 and 9 deal with different issues in the context of linear elastostatics and linear elastodynamics and waves, respectively, for solids. Linear Elasticity is a classical and central theory of continuum mechanics. Chapter 10 deals with fluids while chapter 11 analyzes the coupled theory of thermoelasticity. Chapter 12 deals with nonlinear elasticity and its role in the continuum framework. Chapters 13 and 14 are dedicated to different applications of solid and fluid mechanics, respectively. The rest of the chapters involve some advanced topics. Chapter 15 is dedicated to turbulence, one of the main challenges in fluid mechanics. Chapter 16 deals with electro-magneto active materials (a coupled theory). Chapter 17 deals with specific ideas of soft matter and chapter 18 deals with configurational forces. In chapter 19, constitutive equations are introduced in a general (implicit) form. Well-posedness (existence, time of existence, uniqueness, continuity) of the equations of the mechanics of continua is an important topic which involves sophisticated mathematical machinery. Chapter 20 presents different analyses related to these topics. Continuum Mechanics is an interdisciplinary subject that attracts the attention of engineers, mathematicians, physicists, etc., working in many different disciplines from a purely scientific environment to industrial applications including biology, materials science, engineering, and many other subjects.

The Role of Mechanics in the Study of Lipid Bilayers

Author : David J. Steigmann
Publisher : Springer
ISBN 13 : 3319563483
Total Pages : 332 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis The Role of Mechanics in the Study of Lipid Bilayers by : David J. Steigmann

Download or read book The Role of Mechanics in the Study of Lipid Bilayers written by David J. Steigmann and published by Springer. This book was released on 2017-05-23 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first collection of lipid-membrane research conducted by leading mechanicians and experts in continuum mechanics. It brings the overall intellectual framework afforded by modern continuum mechanics to bear on a host of challenging problems in lipid membrane physics. These include unique and authoritative treatments of differential geometry, shape elasticity, surface flow and diffusion, interleaf membrane friction, phase transitions, electroelasticity and flexoelectricity, and computational modelling.

Modeling the Electrochemo-poromechanics of Ionic Polymer Metal Composites and Cell Clusters

Author : Alessandro Leronni
Publisher : Springer Nature
ISBN 13 : 3030922766
Total Pages : 226 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Modeling the Electrochemo-poromechanics of Ionic Polymer Metal Composites and Cell Clusters by : Alessandro Leronni

Download or read book Modeling the Electrochemo-poromechanics of Ionic Polymer Metal Composites and Cell Clusters written by Alessandro Leronni and published by Springer Nature. This book was released on 2022-01-03 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a novel continuum finite deformation framework addressing the complex interactions among electrostatics, species transport, and mechanics in solid networks immersed in a fluid phase of solvent and ions. Grounded on cutting-edge multiphysics theories for soft active materials, the proposed model is primarily applied to ionic polymer metal composites (IPMCs). First, the influence of shear deformation on the IPMC response is analyzed through semi-analytical solutions obtained via the method of matched asymptotic expansions. Second, the novel electrochemo-poromechanical theory is used to predict the curvature relaxation and electric discharge that are observed in IPMC actuation and sensing, respectively, under a sustained stimulus. This newly formulated theory is, in turn, applied to biological cell clusters. Here, important mechanical considerations are integrated into classical bioelectrical models, thus offering novel insights into the interplay of mechanical and electrical signaling in the coordination of developmental processes.

Mathematical Methods in Continuum Mechanics of Solids

Author : Martin Kružík
Publisher : Springer
ISBN 13 : 3030020657
Total Pages : 617 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Mathematical Methods in Continuum Mechanics of Solids by : Martin Kružík

Download or read book Mathematical Methods in Continuum Mechanics of Solids written by Martin Kružík and published by Springer. This book was released on 2019-03-02 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.

Generalized Models and Non-classical Approaches in Complex Materials 1

Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3319724401
Total Pages : 760 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Generalized Models and Non-classical Approaches in Complex Materials 1 by : Holm Altenbach

Download or read book Generalized Models and Non-classical Approaches in Complex Materials 1 written by Holm Altenbach and published by Springer. This book was released on 2018-03-24 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mechanics of Soft Materials

Author : Konstantin Volokh
Publisher : Springer
ISBN 13 : 9811383715
Total Pages : 167 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Mechanics of Soft Materials by : Konstantin Volokh

Download or read book Mechanics of Soft Materials written by Konstantin Volokh and published by Springer. This book was released on 2019-06-11 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise introduction to soft matter modelling, together with an up-to-date review of the continuum mechanical description of soft and biological materials, from the basics to the latest scientific materials. It also includes multi-physics descriptions, such as chemo-, thermo-, and electro-mechanical coupling. The new edition includes a new chapter on fractures as well as numerous corrections, clarifications and new solutions. Based on a graduate course taught for the past few years at Technion, it presents original explanations for a number of standard materials, and features detailed examples to complement all topics discussed.