Elasticity With Mathematica

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Elasticity with Mathematica ®

Author : Andrei Constantinescu
Publisher : Cambridge University Press
ISBN 13 : 1139465627
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Elasticity with Mathematica ® by : Andrei Constantinescu

Download or read book Elasticity with Mathematica ® written by Andrei Constantinescu and published by Cambridge University Press. This book was released on 2007-10-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book 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.

Elasticity with Mathematica

Author : Andrei Constantinescu
Publisher :
ISBN 13 : 9780511355684
Total Pages : 267 pages
Book Rating : 4.3/5 (556 download)

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Book Synopsis Elasticity with Mathematica by : Andrei Constantinescu

Download or read book Elasticity with Mathematica written by Andrei Constantinescu and published by . This book was released on 2014-05-14 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematica Methods of Two-dimensional Elasticity

Author : A. I. Kalandiya
Publisher :
ISBN 13 :
Total Pages : 351 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Mathematica Methods of Two-dimensional Elasticity by : A. I. Kalandiya

Download or read book Mathematica Methods of Two-dimensional Elasticity written by A. I. Kalandiya and published by . This book was released on 1975 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Theory of Elasticity

Author : Richard B. Hetnarski
Publisher : CRC Press
ISBN 13 : 143982889X
Total Pages : 837 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis The Mathematical Theory of Elasticity by : Richard B. Hetnarski

Download or read book The Mathematical Theory of Elasticity written by Richard B. Hetnarski and published by CRC Press. This book was released on 2016-04-19 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through its inclusion of specific applications, The Mathematical Theory of Elasticity, Second Edition continues to provide a bridge between the theory and applications of elasticity. It presents classical as well as more recent results, including those obtained by the authors and their colleagues. Revised and improved, this edition incorporates add

Introduction To Mathematical Elasticity

Author : Leonid P Lebedev
Publisher : World Scientific
ISBN 13 : 9814467790
Total Pages : 317 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Introduction To Mathematical Elasticity by : Leonid P Lebedev

Download or read book Introduction To Mathematical Elasticity written by Leonid P Lebedev and published by World Scientific. This book was released on 2009-09-03 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the general reader with an introduction to mathematical elasticity, by means of general concepts in classic mechanics, and models for elastic springs, strings, rods, beams and membranes. Functional analysis is also used to explore more general boundary value problems for three-dimensional elastic bodies, where the reader is provided, for each problem considered, a description of the deformation; the equilibrium in terms of stresses; the constitutive equation; the equilibrium equation in terms of displacements; formulation of boundary value problems; and variational principles, generalized solutions and conditions for solvability.Introduction to Mathematical Elasticity will also be of essential reference to engineers specializing in elasticity, and to mathematicians working on abstract formulations of the related boundary value problems.

Continuum Mechanics using Mathematica®

Author : Antonio Romano
Publisher : Springer
ISBN 13 : 1493916041
Total Pages : 489 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Continuum Mechanics using Mathematica® by : Antonio Romano

Download or read book Continuum Mechanics using Mathematica® written by Antonio Romano and published by Springer. This book was released on 2014-10-14 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. Covering essential principles and fundamental applications, this second edition of Continuum Mechanics using Mathematica® provides a solid basis for a deeper study of more challenging and specialized problems related to nonlinear elasticity, polar continua, mixtures, piezoelectricity, ferroelectricity, magneto-fluid mechanics and state changes (see A. Romano, A. Marasco, Continuum Mechanics: Advanced Topics and Research Trends, Springer (Birkhäuser), 2010, ISBN 978-0-8176-4869-5). Key topics and features: * Concise presentation strikes a balance between fundamentals and applications * Requisite mathematical background carefully collected in two introductory chapters and one appendix * Recent developments highlighted through coverage of more significant applications to areas such as wave propagation, fluid mechanics, porous media, linear elasticity. This second edition expands the key topics and features to include: * Two new applications of fluid dynamics: meteorology and navigation * New exercises at the end of the existing chapters * The packages are rewritten for Mathematica 9 Continuum Mechanics using Mathematica®: Fundamentals, Applications and Scientific Computing is aimed at advanced undergraduates, graduate students and researchers in applied mathematics, mathematical physics and engineering. It may serve as a course textbook or self-study reference for anyone seeking a solid foundation in continuum mechanics.

Mathematical Problems in Elasticity

Author : Remigio Russo
Publisher : World Scientific
ISBN 13 : 9789810225766
Total Pages : 340 pages
Book Rating : 4.2/5 (257 download)

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Book Synopsis Mathematical Problems in Elasticity by : Remigio Russo

Download or read book Mathematical Problems in Elasticity written by Remigio Russo and published by World Scientific. This book was released on 1996 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, five papers are collected that give a good sample of the problems and the results characterizing some recent trends and advances in this theory. Some of them are devoted to the improvement of a general abstract knowledge of the behavior of elastic bodies, while the others mainly deal with more applicative topics.

Elasticity

Author : James Richard Barber
Publisher : Springer
ISBN 13 : 9789401739276
Total Pages : 436 pages
Book Rating : 4.7/5 (392 download)

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Book Synopsis Elasticity by : James Richard Barber

Download or read book Elasticity written by James Richard Barber and published by Springer. This book was released on 2014-01-15 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Treatise on the Mathematical Theory of Elasticity

Author : Augustus Edward Hough Love
Publisher :
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A Treatise on the Mathematical Theory of Elasticity by : Augustus Edward Hough Love

Download or read book A Treatise on the Mathematical Theory of Elasticity written by Augustus Edward Hough Love and published by . This book was released on 1892 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elasticity

Author : J.R. Barber
Publisher : Springer Science & Business Media
ISBN 13 : 0306483955
Total Pages : 416 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Elasticity by : J.R. Barber

Download or read book Elasticity written by J.R. Barber and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first edition of this book was published, there have been major improve- TM TM ments in symbolic mathematical languages such as Maple and Mathematica and this has opened up the possibility of solving considerably more complex and hence interesting and realistic elasticity problems as classroomexamples. It also enables the student to focus on the formulation of the problem (e. g. the appropriate governing equations and boundary conditions) rather than on the algebraic manipulations, with a consequent improvement in insight into the subject and in motivation. During the past 10 years I have developed files in Maple and Mathematica to facilitate this p- cess, notably electronic versions of the Tables in the present Chapters 19 and 20 and of the recurrence relations for generating spherical harmonics. One purpose of this new edition is to make this electronic material available to the reader through the Kluwer website www. elasticity. org. I hope that readers will make use of this resource and report back to me any aspects of the electronic material that could benefit from improvement or extension. Some hints about the use of this material are contained in Appendix A. Those who have never used Maple or Mathematica will find that it takes only a few hours of trial and error to learn how to write programs to solve boundary value problems in elasticity.

Some Basic Problems of the Mathematical Theory of Elasticity

Author : N.I. Muskhelishvili
Publisher : Springer Science & Business Media
ISBN 13 : 9789001607012
Total Pages : 774 pages
Book Rating : 4.6/5 (7 download)

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Book Synopsis Some Basic Problems of the Mathematical Theory of Elasticity by : N.I. Muskhelishvili

Download or read book Some Basic Problems of the Mathematical Theory of Elasticity written by N.I. Muskhelishvili and published by Springer Science & Business Media. This book was released on 1977-04-30 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: TO THE FIRST ENGLISH EDITION. In preparing this translation, I have taken the liberty of including footnotes in the main text or inserting them in small type at the appropriate places. I have also corrected minor misprints without special mention .. The Chapters and Sections of the original text have been called Parts and Chapters respectively, where the latter have been numbered consecutively. The subject index was not contained in the Russian original and the authors' index represents an extension of the original list of references. In this way the reader should be able to find quickly the pages on which anyone reference is discussed. The transliteration problem has been overcome by printing the names of Russian authors and journals also in Russian type. While preparing this translation in the first place for my own informa tion, the knowledge that it would also become accessible to a large circle of readers has made the effort doubly worthwhile. I feel sure that the reader will share with me in my admiration for the simplicity and lucidity of presentation.

Micromechanics with Mathematica

Author : Seiichi Nomura
Publisher : John Wiley & Sons
ISBN 13 : 1118385705
Total Pages : 288 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Micromechanics with Mathematica by : Seiichi Nomura

Download or read book Micromechanics with Mathematica written by Seiichi Nomura and published by John Wiley & Sons. This book was released on 2016-03-02 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates the simplicity and effectiveness of Mathematica as the solution to practical problems in composite materials. Designed for those who need to learn how micromechanical approaches can help understand the behaviour of bodies with voids, inclusions, defects, this book is perfect for readers without a programming background. Thoroughly introducing the concept of micromechanics, it helps readers assess the deformation of solids at a localized level and analyse a body with microstructures. The author approaches this analysis using the computer algebra system Mathematica, which facilitates complex index manipulations and mathematical expressions accurately. The book begins by covering the general topics of continuum mechanics such as coordinate transformations, kinematics, stress, constitutive relationship and material symmetry. Mathematica programming is also introduced with accompanying examples. In the second half of the book, an analysis of heterogeneous materials with emphasis on composites is covered. Takes a practical approach by using Mathematica, one of the most popular programmes for symbolic computation Introduces the concept of micromechanics with worked-out examples using Mathematica code for ease of understanding Logically begins with the essentials of the topic, such as kinematics and stress, before moving to more advanced areas Applications covered include the basics of continuum mechanics, Eshelby's method, analytical and semi-analytical approaches for materials with inclusions (composites) in both infinite and finite matrix media and thermal stresses for a medium with inclusions, all with Mathematica examples Features a problem and solution section on the book’s companion website, useful for students new to the programme

Mathematical Theory of Elasticity

Author : Richa Hetnarski
Publisher : CRC Press
ISBN 13 : 9780203502488
Total Pages : 868 pages
Book Rating : 4.5/5 (24 download)

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Book Synopsis Mathematical Theory of Elasticity by : Richa Hetnarski

Download or read book Mathematical Theory of Elasticity written by Richa Hetnarski and published by CRC Press. This book was released on 2003-12-16 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present Mathematical Theory of Elasticity and its applications to a wide range of readers, including graduate students and researchers in modern theory of continuum mechanics. The book provides classical results on elasticity as well as the new findings of classical type obtained in recent years by various researchers

Modelling Metabolism with Mathematica

Author : Peter Mulquiney
Publisher : CRC Press
ISBN 13 : 0203503937
Total Pages : 327 pages
Book Rating : 4.2/5 (35 download)

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Book Synopsis Modelling Metabolism with Mathematica by : Peter Mulquiney

Download or read book Modelling Metabolism with Mathematica written by Peter Mulquiney and published by CRC Press. This book was released on 2003-05-14 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the advent of sophisticated general programming environments like Mathematica, the task of developing new models of metabolism and visualizing their responses has become accessible to students of biochemistry and the life sciences in general. Modelling Metabolism with Mathematica presents the approaches, methods, tools, and algorithms for mode

Mathematical Theory of Elastic Equilibrium

Author : Giuseppe Grioli
Publisher : Springer Science & Business Media
ISBN 13 : 3642874320
Total Pages : 177 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Mathematical Theory of Elastic Equilibrium by : Giuseppe Grioli

Download or read book Mathematical Theory of Elastic Equilibrium written by Giuseppe Grioli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is not my intention to present a treatise of elasticity in the follow ing pages. The size of the volume would not permit it, and, on the other hand, there are already excellent treatises. Instead, my aim is to develop some subjects not considered in the best known treatises of elasticity but nevertheless basic, either from the physical or the analytical point of view, if one is to establish a complete theory of elasticity. The material presented here is taken from original papers, generally very recent, and concerning, often, open questions still being studied by mathematicians. Most of the problems are from the theory of finite deformations [non-linear theory], but a part of this book concerns the theory of small deformations [linear theory], partly for its interest in many practical questions and partly because the analytical study of the theory of finite strain may be based on the infinitesimal one.

Elasticity

Author : Martin H. Sadd
Publisher : Academic Press
ISBN 13 : 0124104320
Total Pages : 601 pages
Book Rating : 4.1/5 (241 download)

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Book Synopsis Elasticity by : Martin H. Sadd

Download or read book Elasticity written by Martin H. Sadd and published by Academic Press. This book was released on 2014-01-22 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity: Theory, Applications, and Numerics, Third Edition, continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods. Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as spherical anisotropy, stress contours, isochromatics, isoclinics, and stress trajectories. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. These numerics aid in particular calculations, graphically present stress and displacement solutions to problems of interest, and conduct simple finite element calculations, enabling comparisons with previously studied analytical solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides. Thorough yet concise introduction to linear elasticity theory and applications Only text providing detailed solutions to problems of nonhomogeneous/graded materials New material on stress contours/lines, contact stresses, curvilinear anisotropy applications Further and new integration of MATLAB software Addition of many new exercises Comparison of elasticity solutions with elementary theory, experimental data, and numerical simulations Online solutions manual and downloadable MATLAB code

A Treatise on the Mathematical Theory of Elasticity

Author : A. E. H. Love
Publisher : Cambridge University Press
ISBN 13 : 1107618096
Total Pages : 663 pages
Book Rating : 4.1/5 (76 download)

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Book Synopsis A Treatise on the Mathematical Theory of Elasticity by : A. E. H. Love

Download or read book A Treatise on the Mathematical Theory of Elasticity written by A. E. H. Love and published by Cambridge University Press. This book was released on 2013-01-03 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1927, this is a classic account of the mathematical theory of elasticity by English mathematician A. E. H. Love. The text provides a detailed explanation of the topic in its various aspects, revealing important relationships with general physics and applications to engineering.