Mechanics of Solid Deformable Body

Mechanics of Solid Deformable Body PDF

Author: Michael Zhuravkov

Publisher: Springer Nature

Published: 2023-02-21

Total Pages: 317

ISBN-13: 9811984107

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This textbook contains sections with fundamental, classical knowledge in solid mechanics, as well as original modern mathematical models to describe the state and behavior of solid deformable bodies. It has original sections with the basics of mathematical modeling in the solid mechanics, material on the basic principles, and features of mathematical formulation of model problems of solid mechanics. For successful mastering of the material, it is necessary to have basic knowledge of the relevant sections of the courses of mathematical analysis, linear algebra and tensor analysis, differential equations, and equations of mathematical physics. Each section contains a list of test questions and exercises to check the level of assimilation of the material. The textbook is intended for senior university students, postgraduates, and research fellows. It can be used in the study of general and special disciplines in various sections of solid mechanics, applied mechanics for students and undergraduates of various specializations and specialties, such as mechanics and mathematical modeling, applied mathematics, solid physics, and engineering mechanics.

Introduction to Solid Mechanics

Introduction to Solid Mechanics PDF

Author: Jacob Lubliner

Publisher: Springer

Published: 2016-10-12

Total Pages: 533

ISBN-13: 331918878X

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This expanded second edition presents in one text the concepts and processes covered in statics and mechanics of materials curricula following a systematic, topically integrated approach. Building on the novel pedagogy of fusing concepts covered in traditional undergraduate courses in rigid-body statics and deformable body mechanics, rather than simply grafting them together, this new edition develops further the authors’ very original treatment of solid mechanics with additional figures, an elaboration on selected solved problems, and additional text as well as a new subsection on viscoelasticity in response to students’ feedback. Introduction to Solid Mechanics: An Integrated Approach, Second Edition, offers a holistic treatment of the depth and breadth of solid mechanics and the inter-relationships of its underlying concepts. Proceeding from first principles to applications, the book stands as a whole greater than the sum of its parts.

Mechanics of Deformable Bodies

Mechanics of Deformable Bodies PDF

Author: Arnold Sommerfeld

Publisher: Academic Press

Published: 2013-09-03

Total Pages: 409

ISBN-13: 1483220273

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Mechanics of Deformable Bodies: Lectures on Theoretical Physics, Volume II covers topics on the mechanics of deformable bodies. The book discusses the kinematics, statics, and dynamics of deformable bodies; the vortex theory; as well as the theory of waves. The text also describes the flow with given boundaries. Supplementary notes on selected hydrodynamic problems and supplements to the theory of elasticity are provided. Physicists, mathematicians, and students taking related courses will find the book useful.

Mechanics of Deformable Bodies

Mechanics of Deformable Bodies PDF

Author: Arnold Sommerfeld

Publisher: Elsevier

Published: 2016-06-03

Total Pages: 409

ISBN-13: 1483214281

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Mechanics of Deformable Bodies: Lectures on Theoretical Physics, Volume II covers topics on the mechanics of deformable bodies. The book discusses the kinematics, statics, and dynamics of deformable bodies; the vortex theory; as well as the theory of waves. The test also describes flow with given boundaries. Supplementary notes on selected hydrodynamic problems, as well as supplements to the theory of elasticity are also provided. Physicists, mathematicians, and students taking related courses will find the book invaluable.

Engineering Mechanics of Deformable Solids

Engineering Mechanics of Deformable Solids PDF

Author: Sanjay Govindjee

Publisher: Oxford University Press

Published: 2013

Total Pages: 355

ISBN-13: 0199651647

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An explanation of the basic theory of engineering mechanics for mechanical, civil, and materials engineers. The presentation is concise and geared to more mathematically-oriented students and those looking to quickly refresh their understanding of engineering mechanics.

Introduction to the Mechanics of Deformable Solids

Introduction to the Mechanics of Deformable Solids PDF

Author: David H. Allen

Publisher: Springer Science & Business Media

Published: 2012-08-09

Total Pages: 232

ISBN-13: 1461440033

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Introduction to the Mechanics of Deformable Solids: Bars and Beams introduces the theory of beams and bars, including axial, torsion, and bending loading and analysis of bars that are subjected to combined loadings, including resulting complex stress states using Mohr’s circle. The book provides failure analysis based on maximum stress criteria and introduces design using models developed in the text. Throughout the book, the author emphasizes fundamentals, including consistent mathematical notation. The author also presents the fundamentals of the mechanics of solids in such a way that the beginning student is able to progress directly to a follow-up course that utilizes two- and three-dimensional finite element codes imbedded within modern software packages for structural design purposes. As such, excessive details included in the previous generation of textbooks on the subject are obviated due to their obsolescence with the availability of today’s finite element software packages.

Statics of Deformable Solids

Statics of Deformable Solids PDF

Author: Raymond L. Bisplinghoff

Publisher: Courier Corporation

Published: 2014-12-17

Total Pages: 338

ISBN-13: 0486789934

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"Well-written, thoughtfully prepared, and profusely illustrated, this text by the prominent experts provides a full exposition of fundamentals of solid mechanics and principles of mechanics, statics, and simple statically indeterminate systems. Additional topics include strain and stress in three-dimensional solids, elementary elasticity, stress-strain relations for plastic solids, and energy principles in solid continuum. "--

Mechanics of Solids and Shells

Mechanics of Solids and Shells PDF

Author: Gerald Wempner

Publisher: CRC Press

Published: 2002-10-29

Total Pages: 534

ISBN-13: 1420036424

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As the theories and methods have evolved over the years, the mechanics of solid bodies has become unduly fragmented. Most books focus on specific aspects, such as the theories of elasticity or plasticity, the theories of shells, or the mechanics of materials. While a narrow focus serves immediate purposes, much is achieved by establishing the common foundations and providing a unified perspective of the discipline as a whole. Mechanics of Solids and Shells accomplishes these objectives. By emphasizing the underlying assumptions and the approximations that lead to the mathematical formulations, it offers a practical, unified presentation of the foundations of the mechanics of solids, the behavior of deformable bodies and thin shells, and the properties of finite elements. The initial chapters present the fundamental kinematics, dynamics, energetics, and behavior of materials that build the foundation for all of the subsequent developments. These are presented in full generality without the usual restrictions on the deformation. The general principles of work and energy form the basis for the consistent theories of shells and the approximations by finite elements. The final chapter views the latter as a means of approximation and builds a bridge between the mechanics of the continuum and the discrete assembly. Expressly written for engineers, Mechanics of Solids and Shells forms a reliable source for the tools of analysis and approximation. Its constructive presentation clearly reveals the origins, assumptions, and limitations of the methods described and provides a firm, practical basis for the use of those methods.

Fundamentals of Biomechanics

Fundamentals of Biomechanics PDF

Author: Dawn L. Leger

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 420

ISBN-13: 1475730675

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Extensively revised from a successful first edition, this book features a wealth of clear illustrations, numerous worked examples, and many problem sets. It provides the quantitative perspective missing from more descriptive texts, without requiring an advanced background in mathematics, and as such will be welcomed for use in courses such as biomechanics and orthopedics, rehabilitation and industrial engineering, and occupational or sports medicine.

Principles of Solid Mechanics

Principles of Solid Mechanics PDF

Author: Jr., Rowland Richards

Publisher: CRC Press

Published: 2000-12-12

Total Pages: 458

ISBN-13: 1420042203

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Evolving from more than 30 years of research and teaching experience, Principles of Solid Mechanics offers an in-depth treatment of the application of the full-range theory of deformable solids for analysis and design. Unlike other texts, it is not either a civil or mechanical engineering text, but both. It treats not only analysis but incorporates