Linear and Non-Linear Deformations of Elastic Solids

Linear and Non-Linear Deformations of Elastic Solids PDF

Author: Arabinda Roy

Publisher: CRC Press

Published: 2019-12-06

Total Pages: 597

ISBN-13: 1000758141

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Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.

Non-Linear Elastic Deformations

Non-Linear Elastic Deformations PDF

Author: R. W. Ogden

Publisher: Courier Corporation

Published: 2013-04-26

Total Pages: 544

ISBN-13: 0486318710

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Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.

Nonlinear Elasticity

Nonlinear Elasticity PDF

Author: Y. B. Fu

Publisher: Cambridge University Press

Published: 2001-05-07

Total Pages: 541

ISBN-13: 0521796954

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Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.

Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies PDF

Author: Leonid M. Zubov

Publisher: Springer Science & Business Media

Published: 2008-09-11

Total Pages: 207

ISBN-13: 3540684301

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The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength properties of many materials. Contrary to the geometrically motivated nonlinear theory of dislocations continuously distributed over the body, nonlinear analysis of isolated dislocations and disclinations is less developed; it is given for the first time in this book, and in a form accessible to both students and researchers. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions are found. The nonlinear approach to investigating the isolated defects produces results that often differ qualitatively from those of the linear theory.

Non-Linear Theory of Elasticity

Non-Linear Theory of Elasticity PDF

Author: A.I. Lurie

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 632

ISBN-13: 0444597239

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This book examines in detail the Theory of Elasticity which is a branch of the mechanics of a deformable solid. Special emphasis is placed on the investigation of the process of deformation within the framework of the generally accepted model of a medium which, in this case, is an elastic body. A comprehensive list of Appendices is included providing a wealth of references for more in depth coverage. The work will provide both a stimulus for future research in this field as well as useful reference material for many years to come.

Linear and Non-linear Continuum Solid Mechanics

Linear and Non-linear Continuum Solid Mechanics PDF

Author: Santiago Hernández

Publisher: WIT Press

Published: 2021-06-28

Total Pages: 206

ISBN-13: 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 PDF

Author: Gerhard A. Holzapfel

Publisher:

Published: 2000-04-06

Total Pages: 482

ISBN-13:

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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 PDF

Author: Yavuz Basar

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 201

ISBN-13: 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.