Continuum Mechanics And Linear Elasticity

Author : Ciprian D. Coman
Publisher : Springer Nature
Page : 519 pages
File Size : 44,9 Mb
Release : 2019-11-02
Category : Technology & Engineering
ISBN : 9789402417715

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Continuum Mechanics and Linear Elasticity by Ciprian D. Coman Pdf

This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity. The material is self-contained and should provide readers sufficient working knowledge in both areas. Though the focus is primarily on vector and tensor calculus (the so-called coordinate-free approach), the more traditional index notation is used whenever it is deemed more sensible. With the increasing demand for continuum modeling in such diverse areas as mathematical biology and geology, it is imperative to have various approaches to continuum mechanics and elasticity. This book presents these subjects from an applied mathematics perspective. In particular, it extensively uses linear algebra and vector calculus to develop the fundamentals of both subjects in a way that requires minimal use of coordinates (so that beginning graduate students and junior researchers come to appreciate the power of the tensor notation).

Author : Ellis H. Dill
Publisher : CRC Press
Page : 382 pages
File Size : 53,7 Mb
Release : 2006-11-10
Category : Science
ISBN : 0849397790

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Continuum Mechanics by Ellis H. Dill Pdf

Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject that includes not only elasticity and fluid mechanics but also covers plasticity, viscoelasticity, and the continuum model for fatigue and fracture mechanics. In addition to a broader scope, this book also supplies a review of the necessary mathematical tools and results for a self-contained treatment. The author provides finite element formulations of the equations encountered throughout the chapters and uses an approach with just the right amount of mathematical rigor without being too theoretical for practical use. Working systematically from the continuum model for the thermomechanics of materials, coverage moves through linear and nonlinear elasticity using both tensor and matrix notation, plasticity, viscoelasticity, and concludes by introducing the fundamentals of fracture mechanics and fatigue of metals. Requisite mathematical tools appear in the final chapter for easy reference. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity builds a strong understanding of the principles, equations, and finite element formulations needed to solve real engineering problems.

Author : Andrei Constantinescu,Alexander Korsunsky
Publisher : Cambridge University Press
Page : 0 pages
File Size : 42,7 Mb
Release : 2012-08-09
Category : Science
ISBN : 1107406137

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Elasticity with Mathematica ® by Andrei Constantinescu,Alexander Korsunsky Pdf

This book is intended for researchers, engineers and students in solid mechanics, materials science and physics who are interested in using the power of modern computing to solve a wide variety of problems of both practical and fundamental significance in elasticity. Extensive use of Mathematica in the book makes available to the reader a range of recipes that can be readily adjusted to match particular tastes or requirements, to visualize solutions, and to carry out symbolic and numerical analysis and optimization.

Author : Phillip L. Gould,Yuan Feng
Publisher : Springer
Page : 384 pages
File Size : 46,9 Mb
Release : 2018-07-23
Category : Science
ISBN : 9783319738857

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Introduction to Linear Elasticity by Phillip L. Gould,Yuan Feng Pdf

This augmented and updated fourth edition introduces a new complement of computational tools and examples for each chapter and continues to provide a grounding in the tensor-based theory of elasticity for students in mechanical, civil, aeronautical and biomedical engineering and materials and earth science. Professor Gould’s proven approach allows faculty to introduce this subject early on in an educational program, where students are able to understand and apply the basic notions of mechanics to stress analysis and move on to advanced work in continuum mechanics, plasticity, plate and shell theory, composite materials and finite element mechanics. With the introductory material on the use of MATLAB, students can apply this modern computational tool to solve classic elasticity problems. The detailed solutions of example problems using both analytical derivations and computational tools helps student to grasp the essence of elasticity and practical skills of applying the basic mechanics theorem.

Author : Lallit Anand,Sanjay Govindjee
Publisher : Oxford Graduate Texts
Page : 722 pages
File Size : 55,5 Mb
Release : 2020
Category : Continuum mechanics
ISBN : 9780198864721

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Continuum Mechanics of Solids by Lallit Anand,Sanjay Govindjee Pdf

This introductory graduate text is a unified treatment of the major concepts of Solid Mechanics for beginning graduate students in the many branches of engineering. Major topics are elasticity, viscoelasticity, plasticity, fracture, and fatigue. The book also has chapters on thermoelasticity, chemoelasticity, poroelasticity and piezoelectricity.

Author : William S. Slaughter
Publisher : Springer Science & Business Media
Page : 557 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461200932

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The Linearized Theory of Elasticity by William S. Slaughter Pdf

This book is derived from notes used in teaching a first-year graduate-level course in elasticity in the Department of Mechanical Engineering at the University of Pittsburgh. This is a modern treatment of the linearized theory of elasticity, which is presented as a specialization of the general theory of continuum mechanics. It includes a comprehensive introduction to tensor analysis, a rigorous development of the governing field equations with an emphasis on recognizing the assumptions and approximations in herent in the linearized theory, specification of boundary conditions, and a survey of solution methods for important classes of problems. Two- and three-dimensional problems, torsion of noncircular cylinders, variational methods, and complex variable methods are covered. This book is intended as the text for a first-year graduate course in me chanical or civil engineering. Sufficient depth is provided such that the text can be used without a prerequisite course in continuum mechanics, and the material is presented in such a way as to prepare students for subsequent courses in nonlinear elasticity, inelasticity, and fracture mechanics. Alter natively, for a course that is preceded by a course in continuum mechanics, there is enough additional content for a full semester of linearized elasticity.

Author : Peter Haupt
Publisher : Springer Science & Business Media
Page : 666 pages
File Size : 54,7 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9783662047750

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Continuum Mechanics and Theory of Materials by Peter Haupt Pdf

The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.

Author : Andrei Constantinescu,Alexander Korsunsky
Publisher : Unknown
Page : 267 pages
File Size : 47,9 Mb
Release : 2014-05-14
Category : Science
ISBN : 0511355688

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Elasticity with Mathematica by Andrei Constantinescu,Alexander Korsunsky Pdf

This book, first published in 2007, introduces key ideas and principles in the theory of elasticity with the help of symbolic computation. Differential and integral operators on vector and tensor fields of displacements, strains and stresses are considered on a consistent and rigorous basis with respect to curvilinear orthogonal coordinate systems. As a consequence, vector and tensor objects can be manipulated readily, and fundamental concepts can be illustrated and problems solved with ease. The method is illustrated using a variety of plane and three-dimensional elastic problems. General theorems, fundamental solutions, displacements and stress potentials are presented and discussed. The Rayleigh-Ritz method for obtaining approximate solutions is introduced for elastostatic and spectral analysis problems. Containing more than 60 exercises and solutions in the form of Mathematica notebooks that accompany every chapter, the reader can learn and master the techniques while applying them to a large range of practical and fundamental problems.

Author : Phillip L. Gould
Publisher : Springer
Page : 256 pages
File Size : 53,9 Mb
Release : 1993-12-09
Category : Technology & Engineering
ISBN : 9780387941004

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Introduction to Linear Elasticity by Phillip L. Gould Pdf

This applications-oriented introduction fills an important gap in the field of solid mechanics. Offering a thorough grounding in the tensor-based theory of elasticity for courses in mechanical, civil, materials or aeronautical engineering, it allows students to apply the basic notions of mechanics to such important topics as stress analysis. Further, they will also acquire the necessary background for more advanced work in elasticity, plasticity, shell theory, composite materials and finite element mechanics. This second edition features new chapters on the bending of thin plates, time-dependent effects, and strength and failure criteria.

Author : Eduardo WV Chaves
Publisher : Springer Science & Business Media
Page : 695 pages
File Size : 42,9 Mb
Release : 2013-06-13
Category : Science
ISBN : 9789400759862

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Notes on Continuum Mechanics by Eduardo WV Chaves Pdf

This publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately. The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations), Thermoelasticity (small and large deformations), Damage Mechanics (small and large deformations), and An Introduction to Fluids. Moreover, the text is supplemented with over 280 figures, over 100 solved problems, and 130 references.

Author : R. W. Ogden
Publisher : Courier Corporation
Page : 544 pages
File Size : 53,8 Mb
Release : 2013-04-26
Category : Technology & Engineering
ISBN : 9780486318714

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Non-Linear Elastic Deformations by R. W. Ogden Pdf

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.

Author : J. N. Reddy
Publisher : Cambridge University Press
Page : 479 pages
File Size : 48,6 Mb
Release : 2013-07-29
Category : Science
ISBN : 9781107292406

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An Introduction to Continuum Mechanics by J. N. Reddy Pdf

This best-selling textbook presents the concepts of continuum mechanics in a simple yet rigorous manner. It introduces the invariant form as well as the component form of the basic equations and their applications to problems in elasticity, fluid mechanics and heat transfer, and offers a brief introduction to linear viscoelasticity. The book is ideal for advanced undergraduates and graduate students looking to gain a strong background in the basic principles common to all major engineering fields, and for those who will pursue further work in fluid dynamics, elasticity, plates and shells, viscoelasticity, plasticity, and interdisciplinary areas such as geomechanics, biomechanics, mechanobiology and nanoscience. The book features derivations of the basic equations of mechanics in invariant (vector and tensor) form and specification of the governing equations to various co-ordinate systems, and numerous illustrative examples, chapter summaries and exercise problems. This second edition includes additional explanations, examples and problems.

Author : Philip Gibson Hodge
Publisher : Unknown
Page : 276 pages
File Size : 44,6 Mb
Release : 1970
Category : Science
ISBN : UCSD:31822014240816

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Continuum Mechanics by Philip Gibson Hodge Pdf

Author : Michael S. Ruderman
Publisher : Springer
Page : 291 pages
File Size : 46,7 Mb
Release : 2019-07-23
Category : Mathematics
ISBN : 9783030192976

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Fluid Dynamics and Linear Elasticity by Michael S. Ruderman Pdf

​This book provides a concise introduction to continuum mechanics, with a particular emphasis on fluid dynamics, suitable for upper undergraduate students in applied mathematics and related subjects. Starting with a preliminary chapter on tensors, the main topic of the book begins in earnest with the chapters on continuum kinematics and dynamics. Following chapters cover linear elasticity and both incompressible and compressible fluids. Special topics of note include nonlinear acoustics and the theory of motion of viscous thermal conducting compressible fluids. Based on an undergraduate course taught for over a decade, this textbook assumes only familiarity with multivariate calculus and linear algebra. It includes many exercises with solutions and can serve as textbook for lecture courses at the undergraduate and masters level.

Author : Clifford Truesdell
Publisher : Unknown
Page : 263 pages
File Size : 48,9 Mb
Release : 1987
Category : Electronic
ISBN : 0677008503

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Problems of Nonlinear Elasticity by Clifford Truesdell Pdf