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Linear and Non-linear Continuum Solid Mechanics

Linear and Non-linear Continuum Solid Mechanics
Author: Santiago Hernández
Publisher: WIT Press
Total Pages: 206
Release: 2021-06-28
Genre: Science
ISBN: 1784662712

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Deformable solids, that is to say, those which undergo changes in geometry when subjected to external loads or other types of solicitations, as well as other related topics are the focus of this book. Within the main field, this text deals with advanced linear elasticity and plasticity approaches and the behavioural study of more complex types of materials. This includes composites of more recent manufacture and others whose material characterisation has only recently been possible. It also describes how linear elastic behaviour extends to anisotropic materials in general and how deformations can result in small or large strain components. The information on plastic behaviour expands to include strain hardening of the materials. Amongst other new topics incorporated into this volume are studies of hyperelastic materials, which can represent elastomeric and some types of biological materials. A section of the book deals with viscoelastic materials, i.e. those who deform when subjected to long-term loads. The behaviour of viscoplasticity, as well as elasto-viscoplasticity, describes well other types of materials, including those present in many geotechnical sites. The objective of this volume is to present material that can be used for teaching continuum mechanics to students of mechanical, civil or aeronautical engineering. In order to understand the contents the reader only needs to know linear algebra and differential calculus. Examples have been included throughout the text and at the end of each chapter, exercises are presented which can be used to check on comprehension of the theoretical information presented.


Nonlinear Solid Mechanics

Nonlinear Solid Mechanics
Author: Gerhard A. Holzapfel
Publisher:
Total Pages: 482
Release: 2000-04-06
Genre: Mathematics
ISBN:

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Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.


Nonlinear Continuum Mechanics of Solids

Nonlinear Continuum Mechanics of Solids
Author: Yavuz Basar
Publisher: Springer Science & Business Media
Total Pages: 201
Release: 2013-11-11
Genre: Science
ISBN: 3662042991

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The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works.


Nonlinear Solid Mechanics

Nonlinear Solid Mechanics
Author: Gerhard A. Holzapfel
Publisher:
Total Pages: 480
Release: 2000-04-06
Genre: Technology & Engineering
ISBN:

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Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.


Nonlinear Continuum Mechanics for Finite Element Analysis

Nonlinear Continuum Mechanics for Finite Element Analysis
Author: Javier Bonet
Publisher: Cambridge University Press
Total Pages: 349
Release: 2008-03-13
Genre: Science
ISBN: 1139467549

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Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.


Nonlinear Solid Mechanics

Nonlinear Solid Mechanics
Author: Adnan Ibrahimbegovic
Publisher: Springer Science & Business Media
Total Pages: 588
Release: 2009-06-02
Genre: Computers
ISBN: 9048123305

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This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.


Linear and Non-linear Mechanical Behavior of Solid Materials

Linear and Non-linear Mechanical Behavior of Solid Materials
Author: Christian Lexcellent
Publisher: Springer
Total Pages: 268
Release: 2017-05-23
Genre: Science
ISBN: 3319556096

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This book offers an essential introduction to the linear and non-linear behavior of solid materials, and to the concepts of deformation, displacement and stress, within the context of continuum mechanics and thermodynamics. To illustrate the fundamental principles, the book starts with an overview of solid mechanics, experimental methods, classes of material behaviors, and the thermodynamic modeling framework. It then explores linear elastic behavior, thermoelasticity, plasticity, viscoplasticity, fracture mechanics and damage behavior. The last part of the book is devoted to conventional and magnetic shape memory alloys, which may be used as actuators or sensors in adaptive structures. Given its range of coverage, the book will be especially valuable for students of engineering courses in Mechanics. Further, it includes a wealth of examples and exercises, making it accessible to the widest possible audience.


Advances in Linear and Nonlinear Continuum and Structural Mechanics

Advances in Linear and Nonlinear Continuum and Structural Mechanics
Author: Holm Altenbach
Publisher: Springer Nature
Total Pages: 593
Release: 2023-12-03
Genre: Science
ISBN: 303143210X

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This book offers a current image of modern mechanics. The book reflects current state of the art in the field of continuum mechanics and mechanics of structures including recent achievements in classic and non-classic approaches. The chapters are written by leading specialist in the field, so the book collects cutting edge investigations in the field. As a target we consider the society starting from beginners, i.e. master and PhD students, and also leaders in the field, that is professors of universities and civil, mechanical and aerospace engineers.


Non-Linear Mechanics of Materials

Non-Linear Mechanics of Materials
Author: Jacques Besson
Publisher: Springer Science & Business Media
Total Pages: 433
Release: 2009-11-25
Genre: Science
ISBN: 9048133564

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In mechanical engineering and structural analysis there is a significant gap between the material models currently used by engineers for industry applications and those already available in research laboratories. This is especially apparent with the huge progress of computational possibilities and the corresponding dissemination of numerical tools in engineering practice, which essentially deliver linear solutions. Future improvements of design and life assessment methods necessarily involve non-linear solutions for inelastic responses, in plasticity or viscoplasticity, as well as damage and fracture analyses. The dissemination of knowledge can be improved by software developments, data base completion and generalization, but also by information and training. With such a perspective Non-Linear Mechanics of Materials proposes a knowledge actualization, in order to better understand and use recent material constitutive and damage modeling methods in the context of structural analysis or multiscale material microstructure computations.


Non-linear Continuum Theories in Mechanics and Physics and their Applications

Non-linear Continuum Theories in Mechanics and Physics and their Applications
Author: R. S. Rivlin
Publisher: Springer Science & Business Media
Total Pages: 349
Release: 2011-06-07
Genre: Mathematics
ISBN: 3642110908

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P.A. Blythe: Non-linear far-field theories in relaxing gas flows.- Meixner: Thermodynamics of deformable materials.- A.C. Pipkin: Non-linear phenomena in continua.- R.S. Rivlin: An introduction to non-linear continuum mechanics.- G.F. Smith: The generation of integrity bases.