Average customer rating:
- Not Helpful - Except as a Footstool
- Not good for me
- What a great reference book
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First Course in Continuum Mechanics (3rd Edition)
Y.C. Fung
Manufacturer: Prentice Hall
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Biomechanics
ASIN: 0130615242 |
Customer Reviews:
Not Helpful - Except as a Footstool.......2007-01-11
I purchased this book for the first part of my Biomechanics class. We raced through the first 10 chapters, and each one was very difficult to understand. Fung skips steps in his derivations which, for an undergraduate, made studying more confusing and time consuming.
Probably the most frustrating part (at least for an engineering student) of the text is that none of the equations (except the ones from Chapter 1) are applied to anything. Not even for the problems at the end of each chapter. The book is just a long list of mathematical derivations regarding hypothetical blobs, I mean "bodies of mass", in space.
In summary, I wish this book had a lot more examples pertaining to applying all the equations written in this book. Perhaps application of these equations will be used in the second part of my Biomechanics class, where we use yet another Fung book. I hope so.
Not good for me.......2005-03-08
I am the matematican and I had to start learning C.M. from this book. And I didn't like it. First chapter is some very simplified approach to linear elasticity, but it doesn't developed any intuition and reading it was waste of time. Stretch tensor was introduced with avoided notion of polar decomposition. This presentation was far less intuitive for me. The linear algerbra behind primal stresses is described and computed in details, but nowadays the student involved in computer methods and engineering must know this things in my opinion. And the language is not instuitive: me, matematican, couldn't do most of exercises after reading chapter they relate to. It tasted like old-fashioned book.
What a great reference book.......2000-07-05
I thought that this book was a great reference source and it has come in handy for me many times. I would be willing to buy it if I could find a copy, unfortunately it is out of stock, so I will have to return to the library every time I need it.
Average customer rating:
- Good Reference Textbook
- excellent but book falls apart
- Continuous Mechanics 101
- Excellent text, with a small problem
- A nice copy for an out-of-print book
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Introduction to the Mechanics of a Continuous Medium (Prentice-Hall Series in Engineering of the Physical Sciences)
Lawrence E. Malvern
Manufacturer: Prentice Hall
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ASIN: 0134876032 |
Customer Reviews:
Good Reference Textbook.......2007-06-12
I have found this textbook to be invaluable both as a tool for understanding continuum mechanics and as a reference book. The appendices on spherical and cylindrical coordinate systems are especially useful since I have seldom seen this information in other texts. The approach to continuum mechanics presented in this book is not as mathematical as in some other texts but I see this as a positive (at least for those of us with engineering backgrounds). I have had to buy other continuum textbooks for courses (Mase and Gurtin come to mind) but none of them have been as useful to me as Malvern either in my research or as a study tool (although I have used the text for a long time and had to study it for the PhD qualifying exam so I am admittedly more familiar with it than with the other texts). I would highly recommend this book as being a very useful addition to any engineer's (or anyone who is fascinated with continuum mechanics for some unfathomable reason) library.
excellent but book falls apart.......2007-05-27
This book was fine for learning continuum mechanics, but it fell apart even with very careful treatment. It is irresponsible of them to sell it with such a fragile binding.
Continuous Mechanics 101.......2007-01-16
This book dates back to 1969! Nonetheless -- probably because of that -- it remains fundamental. It remains great!
It is what it says: an INTRODUCTION to the mechanics of the continuous.
STOP! I said "mechanics of the continuous" -- "basic" here has a different meaning...
Yes, there are more advanced and more recent publications, but they are of no use unless you've read and understood the fundamentals. As always... ;)
Tensors, Stresses, Strains, Deformations, Constitutive Equations, Fluid Mechanics -- it's all there. The "solids" part is great: good language, good examples, etc. I've enjoyed it. I still am enjoying it.
I suspect the "fluid" part would be just as good, but I have not had the opportunity to study it, so I can't honestly say.
Excellent text, with a small problem.......2006-10-11
I am enrolled in a continuum mechanics class that is using this text as its main reference, and I am very glad for the excellent descriptions and derivations of results.
However, this book has two problems, one the fault of the publisher, the other of the author.
The fault with the publisher is simply that the book is a paperback and the binding in very poor. A hardback copy of the original book would be much sturdier. Instead it costs nearly $100 for a paperback with binding that disintegrates with minor use.
The fault of the author, which has a lot to do with how I learn material, is mainly a problem with notation. My biggest problem is in chapter 4 on strains and deformation, when future displacements represented by lowercase leters (x) and initial displacements by uppercase letters (X). This small lack of foresight by the author in choosing a notation with a more obvious difference between initial and final displacements has caused me pain in being able to follow what is happening in the book and in class, mainly because I have difficulty distinguishing between capital X's and lowercase x's when thrown in large equations. My recommendation would have been to use an entirely different character to represent initial conditions.
That said, it is still a very good book, with notation issues.
A nice copy for an out-of-print book.......2006-03-25
The bobbk is brand new, though a fascimle copy. Considering it is an out-of-print and a rare book, we shouldn't expect something better than that.
Average customer rating:
- Objecton
- WORTHLESS
- Kalyana Babu
- no title
- An excellent classic in Continuum Mechanics
|
An Introduction to Continuum Mechanics (Mathematics in Science and Engineering)
Morton E. Gurtin
Manufacturer: Academic Press
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Nonlinear Solid Mechanics: A Continuum Approach for Engineering
ASIN: 0123097509 |
Book Description
This book presents an introduction to the classical theories of continuum mechanics; in particular, to the theories of ideal, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. These theories are important, not only because they are applicable to a majority of the problems in continuum mechanics arising in practice, but because they form a solid base upon which one can readily construct more complex theories of material behavior. Further, although attention is limited to the classical theories, the treatment is modern with a major emphasis on foundations and structure
Customer Reviews:
Objecton.......2005-03-11
Regarding math in this book, I compeletly disagree with the reviewer from Rotterdam. Gurtin introduces gradients of tensor functions in much more general way than many books on the cont. mech. He also introduces div,curl,outer product operations differently than just by giving appriopriate formulas with partial derivatives. So my match taste is compeletly different and I recommend this book.
WORTHLESS.......2005-03-01
This book could as well be sold in the 'cooking books' section. Does not delve deeply into the math and only provides clear-cut recipes. Does not inspire the reader to really think about the stuff. I would recommend this book to nobody.
Kalyana Babu.......2004-06-19
When I took a class on Solid mechanics, during the first few lectures the instructor (who himself is quite well-known) was literally chanting "Gurtin". When I read a couple of chapters myself, I understood why my professor likes this book.
Gurtin is internationally known for his contributions to Continuum mechanics. This is a very good book. The style is very good. Many journal papers on continuum mechanics and finite elements, cite this book.
Any one who want to get a thorough introduction to continuum mechanics should have this book. This book is also highly recommended to those who are interested in nonlinear finite elements.
The only problem with book is that it is little expensive (around $115).
no title.......2001-01-09
This book is compact, yet explains the generalizations of linear tranfsormations in a thorough, concise way. This makes it a nice "transition" text from vector analysis and introductory tensor courses into more advanced expositions on tensors. I can't vouch for Malvern, and this probably isn't the forum to "correct" other reviewers. All in all this is one of the better math books out there.
An excellent classic in Continuum Mechanics.......2000-09-21
I have read this book from cover to cover and have done all the exercises in it and cannot find a better book to recommend to other scientists wishing to learn continuum mechanics! I believe the book contains enough details, though one definitely has to complete the exercises after each chapter to get an understanding of how brilliant is the author's approach to the subject. It is a concise, yet at the same time a very complete introduction into the topics in Continuum mechanics. Every student studying mechanics should be proud to own this classic!
Average customer rating:
- Simply the best there is
- A good reference, but need further revision
- The new gold standard
- Distinguished
- Outstanding!
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Nonlinear Finite Elements for Continua and Structures
Ted Belytschko ,
Wing Kam Liu , and
Brian Moran
Manufacturer: Wiley
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ASIN: 0471987743 |
Book Description
Nonlinear Finite Elements for Continua and Structures Ted Belytschko, Wing Kam Liu, Brian Moran Northwestern University, Evanston, Illinois This book provides a comprehensive description of the major methodologies of nonlinear finite element analysis for solid mechanics, as applied to continua and structures. Treatment of the subject is integrated in such a way that the reader can gain an understanding of the fundamental methods, a feeling for the comparative usefulness of different approaches and an appreciation of the difficulties inherent in nonlinear analysis. In-depth coverage of the following is given:
* Lagrangian and arbitrary Lagrangian Eulerian treatments of continua
* many of the material laws used in today's software and research
* solution methods, including explicit and implicit time integration methods and methods for equilibrium problems
* basic concepts such as stability and smoothness, and techniques such as linearization and regularization
* methods for shells and structures
* contact-impact problems
* element technology, including multi-field elements
Ideal for self-study, no other book provides such a comprehensive description of nonlinear finite element analysis for solid mechanics. This is an invaluable reference not only for final year undergraduates, postgraduates, academics and engineers working on sophisticated finite element software and in the field of solid mechanics, but also for all users of nonlinear finite element programs.
Customer Reviews:
Simply the best there is.......2006-06-16
This book is simply the best nonlinear FEA book out there. While most other books stop at the Total and Updated Legrangian formulations, this book goes way beyond that and teaches you some really advanced FEA techniques. The treatment of material is thourough and meticulous. Unlike what some other reviewers have said, this book is NOT a bunch of research papers thrown together, but is very well organized with consistent notation and timely explanations. This book is ideal for self study as well as reference for scientists and engineers. However, watch out for some typos that may throw you off-track. This is the only complaint I have about the book.
A good reference, but need further revision.......2004-10-15
The approach taken by this book is neither too mathematical, which makes the subject untractable, nor too engineering-lized, which missed out important insights. I am an engineer with a master degree in mechanical engineering. I found this book very readable, given enough coffine and a good mood. The subjects covered are self-contained.
However this book needs further improvement to be called classic. First, contact-impact chapter is palely presented. LS-DYNA theory manual provides a more complete description on this subject. Secondly, typos need to be reduced. Thirdly, the language is somewhat boring. Fourthly, I would like to see a Latex-ized version of this book.
The new gold standard.......2004-06-02
This has got to be the best book out there now on how to construct nonlinear FE. For me, the book was worth it even if just for the lucent review of nonlinear continuum mechanics.
Distinguished.......2003-04-15
By systematic way of intuition, the authors successfully grasp the philosophy of nonlinear phenomena. The methods of explanation in TL, UL, and ALE are obviously pronounced. If the books of Prof. Zienkiewicz and Prof.Taylor, Prof.Bathe are treasures of FEM, this book is worth in that place.
Outstanding!.......2002-11-26
Though I had been somehow prepared by the positive comments of the other reviewers before buying this book, I must admit that I was impressed from the very beginning of study. Non linear FE is a "hard" subject, however the authors proceed in the most systematic and comprehensive way, addressing the most important aspects of non linear fem analysis in a single volume. The book contains everything you need from the field of Continuum Mechanics and is ideal for self - study. Valuable references, handy summary boxes and exercises at the end of each chapter are included.
Average customer rating:
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The Finite Element Method for Solid and Structural Mechanics, Sixth Edition
O. C. Zienkiewicz , and
R. L. Taylor
Manufacturer: Butterworth-Heinemann
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ASIN: 0750663219
Release Date: 2005-09-20 |
Book Description
This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor.
New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling.
* Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor
* New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling
* Accompanied by online downloadable software
Average customer rating:
- Good book
- Disservice to students and insult to experts
- Excellent Book
- Excellent Book!
- Excellant text, but far too expensive!!
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Introduction to Continuum Mechanics, 3rd ed.
W Michael Lai ,
David Rubin , and
Erhard Krempl
Manufacturer: Butterworth-Heinemann
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Continuum Mechanics (Dover Books on Physics)
ASIN: 0750628944 |
Book Description
Introduction to Continuum Mechanics is a recently updated and revised text
which is perfect for either introductory courses in an undergraduate engineering
curriculum or for a beginning graduate course.
Continuum Mechanics studies the response of materials to different loading
conditions. The concept of tensors is introduced through the idea of linear
transformation in a self-contained chapter, and the interrelation of direct notation, indicial notation, and matrix operations is clearly presented. A wide range of idealized materials are considered through simple static and dynamic problems, and the book contains an abundance of illustrative examples of problems, many with solutions.
Serves as either a introductory undergraduate course or a beginning graduate course textbook.
Includes many problems with illustrations and answers.
Customer Reviews:
Good book.......2007-07-14
From what I've read so far (the first 80 pages), this book is nice. The notation is relatively unambiguous, and many examples are included to make concepts clear. This book fills you in from the beginning rather than assuming you already have some background knowledge.
Disservice to students and insult to experts.......2003-03-23
It's understandable and forgivable when the first or even second-edition of a technical book has some errors. However, when a book has reached its third edition, one should expect a relatively error-free and comprehensive reference. This book is an insult to the scientific method and to the tenets of decent technical writing. Considering only the part of this text that would be covered in a first course in continuum mechanics, even a cursory inspection reveals major theory errors as well as lazy typesetting, grammar, and editing issues that simply aren't acceptable for books in this price range. For instance...
* The index is only five pages long! It's missing absolutely essential entries like: coordinates, e-delta identity, invariants, gradient, velocity, velocity gradient, Stoke's theorem, and thermodynamics. The index is also missing several other terms (such as pseudo stress vector) that students would need to look up because they appear in the exercises.
* The reference list is anemic -- a rich and well-developed field like continuum mechanics deserves more than just 19 supplemental resources. Omission of Mase and Mase is unfortunate because those authors have greatly contributed to continuum mechanics texts for beginners.
Naturally, any introductory book on a complicated topic will, at times, provide the reader with some key equations without providing a proof. However, whenever a proof is omitted, the reader should AT LEAST be told where the proof can be found. For example, this textbook cites the conditions of compatibility for finite deformation without stating any reference book or journal article where the advanced reader (who, by this point, has learned to doubt the typesetting skills of these authors) can go to double check the equations.
* Discussion of the physical meanings of various strain measures is inexcusably fouled up. In the paragraph above eq 3.24.4, the cross-reference to eq. 3.25.2 should instead point to 3.24.2. Two equations below eq 3.26.8, the denominator is missing a factor of 2 and wrongly uses S instead of s). One equation above eq 3.26.9a, there should NOT be a 1 in the first term on the right hand side. Incidentally, the fact that these authors give equation numbers only for the equations that THEY themselves cross-reference is frustrating. OTHER PEOPLE might want to point to equations in this book -- having to say "the equation two lines below the authors' numbered equation" is awkward.
* In the section on transformation laws, eq. iii should NOT have a prime on b.
* The solution to exercise 7.8 (b) is missing a factor of 3 (probably other solutions are wrong too).
* The authors understanding of rotation and their proof of the polar decomposition theorem are seriously flawed. Their formula for the rotation expressed in terms of an angle and axis (in exercise 2B29) is wrong - it doesn't even give R=I when the rotation angle is zero. They claim in numerous locations (e.g., end of section 2B10) that improper orthogonal tensors are reflections (this is a common error - any proper rotation followed by a reflection will be an improper orthogonal tensor that is NOT a reflection). The authors clearly do not understand that symmetry and positive definiteness are requirements that must be IMPOSED in the polar decomposition - neither property is a consequence. They don't explain that a symmetric positive definite tensor has an INFINITE number of square roots, of which eight are symmetric, and only one is also positive definite. They prove that R is orthogonal, but fail to prove the theorem's assertion that it is PROPER orthogonal. Earlier in the text, the authors state that they will use the notation U for any deformation gradient that is symmetric; subsequent text clearly shows that they are presuming that a symmetric deformation gradient a stretch, which is false. To be a stretch, U must be additionally positive definite (a deformation gradient diagonal with components 1, -1, -1 is symmetric, but certainly not a stretch, and this example has negative eigenvalues, invalidating the authors claim immediately following their eq 3.20.2c)
* At the beginning of section 2B18, the authors state that a real symmetric tensor has "at least" three real eigenvalues. At least?? Are there more? They should have said "exactly three" (for a 3D space, of course).
* In the section on the rate of deformation tensor, the authors fail to prove that this tensor is not really a true rate. Here is a fact that lots of people know, but don't really understand and certainly don't know how to prove. Modern books in continuum mechanics need to discuss it.
* The authors present conservation of mass in the kinematics section, which is not correct. Kinematics is the mathematics of motion. Conservation of mass is a physical principle of Newtonian physics.
* Above eq 5.3.2: Cross reference to Problem 5.1 should be to Problem 5.2
* Eq. 3.28.6: Authors fail to give the proper name of this important relationship (Nanson's relation).
* Exercise 2B40: uses the word "principle" where "principal" is needed.
* After Eq. 3.30.7: Subject verb agreement ("The components... is called)"
* In example 3.1.2: Straightforward is ONE word, not two.
* Exercise 4.12: period and comma in a row ("For any stress state T., we define...")
* Eq 4.10.8a: Misplaced tilde in typesetting, and indistinguishable tilde in subsequent text. Same problem preceding eq 3.4.3.
* Eq 4.10.6b: "jm" needs to be a SUBSCRIPT.
* Exercise 3.31: typesetting is so juvenile that the authors used a superscripted lower case "o" to denote degrees instead of using the professional choice: the degree symbol. Professional typesetting conventions (e.g., italics for variables) are inconsistently enforced throughout this book.
* Exercises 2D4 and 2D5: missing plurals on "coordinates"
* Example 2B3.1: "Given that" should be replaced by "Given"
Granted, the comments in the above list transition from egregious errors to minor oversights, but the scientific community should DEMAND technical and editing perfection from a book on a classic subject that is in its third edition. Either that, or the purchase price should be set at a value that is consistent with this book's sloppy execution.
Note: this review covers ISBN 0750628944 paperback version.
Excellent Book.......1999-02-02
This is the best text that I have found for introducing continnuum mechanics and tensor notation to students. I have used this text in both Continuum Mechanics and Elasticity courses. Very clear explanations and examples to make the student proficient in conntinuum mechanics. I would love to see it expanded to include metric tensors and Christoffel symbols.
Excellent Book!.......1998-12-21
I have used this book in Dr. Lai's into to elasticity class at Columbia University. It is chock full of well written text and many example problems that are worth looking at! I finally understand what eigenvalues and eigenvectors are good for!
Excellant text, but far too expensive!!.......1997-01-21
This continuum mechanics text is the best I've read. Comprehensible and thorough - much more so than others I've read.
Only one problem - $120 is about $35 too high! This text could rate a 10, if it cost $85.
Average customer rating:
- The opinion of mathematican
- Good books but "out-of-print"
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A First Course in Continuum Mechanics
Yuan-Cheng Fung
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Hardcover
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ASIN: 0133183114 |
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The opinion of mathematican.......2005-03-08
I must confess I am the mathematican and I started to learn from this book. But my questions to you, experts of C. M., arise:
i) Is it good to speak about strech tensor and avoid using polar decomposition?
ii) Is it worth to describe and compute spectral decomposition in 3D case in details while speaking about principal stresses? And assume that the modern student of engineering doesn't know this part of linear algebra?
I couldn't do most of excesirses at the end of the chapter after reading it, so it was not good self-study book, at least for me. It tasted like old-fashioned book.
Good books but "out-of-print".......1997-11-03
Foundation of Solid Mechanics and the First Course of Continuum Mechanics by Professor Fung are listed as "unavailable" and "out-of-print". This is quite a bummer! Why are the publishers being so insensitive to the needs of the readers? The mentioned books are great reference books. Many of whom I've talked to said they would want to purchase their own copies instead of fighting over the books at the library. Get with it, publishers!
Average customer rating:
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Techniques of Modern Structural Geology, Volume 3: Applications of Continuum Mechanics in Structural Geology (Modern Structural Geology)
John G. Ramsay , and
Richard J. Lisle
Manufacturer: Academic Press
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The Techniques of Modern Structural Geology, Vol 1: Strain Analysis (Modern Structural Geology)
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Techniques of Modern Structural Geology, Volume 2: Folds and Fractures (Modern Structural Geology)
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Fundamentals of Structural Geology
ASIN: 0125769237 |
Book Description
Modern Structural Geology, Volume 3 gives a practical introduction to how mathematical tools (continuum mechanics) can be used to model geological structures (i.e., naturally deformed rocks).
It provides a strong emphasis on the application of mathematics to solving real geological problems.
This is the third volume of a highly successful textbook series. It sets out in detail many fundamental and modern research techniques, some for the first time.
It is richly illustrated with photographs and diagrams of naturally deformed rocks. Very few books in the field contain even a fraction of this illustrative material.
Because of the somewhat complex nature of some of the mathematical techniques, computer methods are sometimes needed to formulate solutions to the problems. These programs are fully listed in BASIC language at the end of the relevant Session, and a disk of these programs suitable for MAC and PC hardware is provided.
Modern Structural Geology, Volume 3 is intended for advanced undergraduate and graduate students studying structural geology; the secondary market are mechanical and civil engineers wanting a working knowledge of earth sciences; mathematicians wanting to develop practical applications of continuum mechanics.
* Volumes 1 and 2 are best-sellers and widely adopted
* Mathematical modelling programs included on CD-Rom
* Exercises at the end of each chapter
* Superb photography
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Continuum Micromechanics (CISM International Centre for Mechanical Sciences)
Manufacturer: Springer
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ASIN: 3211829024 |
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This book presents the most recent progress of fundamental nature made in the new developed field of micromechanics: transformation field analysis, variational bounds for nonlinear composites, higher-order gradients in micromechanical damage models, dynamics of composites, pattern based variational bounds.
Average customer rating:
- Excellent as supplementary book on the subject
- Concise supplement to your professor's lecture
- Awesome supplemental reading for advanced students
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Continuum Mechanics: Concise Theory and Problems
P. Chadwick
Manufacturer: Dover Publications
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Continuum Mechanics (Dover Books on Physics)
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Schaum's Outline of Continuum Mechanics
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Non-Linear Elastic Deformations
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Classical and Computational Solid Mechanics (Advanced Series in Engineering Science)
ASIN: 0486401804 |
Book Description
This comprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. Expressed in a common, efficient notation, the clear and formally precise steps for solving each problem foster quick comprehension.
Customer Reviews:
Excellent as supplementary book on the subject.......2002-08-23
This book contains all the required theory in compact, though mathematically strict and complete form. About 180 pages, it is a valuable supplement for the study of continuum mechanics.
Concise supplement to your professor's lecture.......2001-10-03
This "textbook" is really a bare-bones, although reasonably comprehensive, outline of an entry graduate course on continuum mechanics. Many of its 100 or so worked-out "problems" are not really problems as much they are part of larger derivations of theories. If your professor does not specify a required textbook or does not provide lecture notes, buy this book as a supplement. -UC Berkeley graduate mechanical engineering student
Awesome supplemental reading for advanced students.......2001-02-21
I first heard about this book when in engineering graduate school. At the time, this book was out-of-print, so my version came from an almost unreadable nth xerox copy, where n is a very large number. Having had two courses in Continuum Mechanics, I was in a position to appreciate this book. In addition to defining the trace and determinant in the usual way, for example, this book also lucidly presented invariant direct notation definitions. This book contains an excellent derivation of the jump relations that must be satisfied across moving shocks. This book is too disorganized and incomplete to serve as an introductory textbook, but it is fabulous as supplemental reading if you seek new insights on topics you already know.
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