Energy Methods in Applied Mechanics by Henry L. Langhaar
The book has been planned for a two-semester course in advanced mechanics for graduate students. In addition, it may be used for independent study and for reference purposes. A_ sound course in advanced calculus, the rudiments of Gibb's vector theory, some knowledge of
advanced strength of materials, and the fundamentals of elasticity, theory are prerequisites. The student who has mastered these subjects will not find the mathematics too difficult.
Energy Methods in Applied Mechanics was developed from class notes used in a graduate course at the University of Illinois for about ten years. I have sustained an interest in energy principles of mechanics for more than twenty years through my research efforts, teaching activities, and employment as a structural research engineer. I am pleased to acknowledge as a
notable source of information the inspiring lectures on variational principles of mechanics by С Lanczos at Purdue University during 1940 and 1941.
Contents
CHAPTER 1. GENERAL CONCEPTS AND PRINCIPLES OF MECHANICS
CHAPTER 2. ELASTIC BEAMS AND FRAMES
CHAPTER 3. METHODS OF THE CALCULUS OF VARIATIONS
CHAPTER 4. DEFORMABLE BODIES
CHAPTER 5. THEORY OF PLATES AND SHELLS
CHAPTER 6. THEORY OF BUCKLING
CHAPTER 7. HAMILTON'S PRINCIPLE AND THE EQUATIONS OF LAGRANGE AND HAMILTON
CHAPTER 8. THEORY OF VIBRATIONS
APPENDIX ON QUADRATIC FORMS
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Introduction to Continuum Mechanics by Micheal Lai,David Rubin and Erhard Krempl
The first edition of this book was published in 1974, nearly twenty years ago. It was written as a text book for an introductory course in continuum mechanics and aimed specifically at the junior and senior level of undergraduate engineering curricula which choose to introduce to the students at the undergraduate level the general approach to the subject matter of continuum mechanics. We are pleased that many instructors of continuum mechanics have found this little book serves that purpose well. However, we have also understood that many instructors have used this book as one of the texts for a beginning graduate course in continuum mechanics. It is this latter knowledge that has motivated us to write this new edition. In this present edition, we have included materials which we feel are suitable for a beginning graduate course in continuum mechanics.
Contents
Chapter 1 Introduction
Chapter 2 Tensors
Chapter 3 Kinematics of a Continuum
Chapter 4 Stress
Chapter 5 The Elastic Solid
Chapter 6 Newtonian Viscous Fluid
Chapter 7 Integral Formulation of General Principles
Chapter 8 Non-Newtonian Fluids
the books gives detailed information on tensor analysis and many formulation makes them simpler to understand . this is a very good book for students studying elasticity, plasticity and solid mechanics or CFD
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This book is an exposition of the dynamic theory of thin walled linearly elastic bodies, treated as an asymptotic branch of 3D elasticity free of ad hoc assumptions. Its most important feature is that it takes into consider- consideration phenomena characterized by the wavelength having the order of the thickness of a body and by the time scale of the order of the time elastic waves take to propagate the distance equal to the thickness. It is evident that the classical Kirchhoff-Love theory of shells, as well as its refinements, are not applicable for describing such phenomena. The main part of the book deals with the derivation of asymptotic approximations of the 3D dynamic equations of elasticity as the thickness tends to zero.
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This is the famous Text by R.hillbert on plasticity .Published in 1950 it presents the original work by R. Hillbert for Mohr-coulomb and von-meiss stress and many otherplastic models.
the work in this text paved the way for "NONLINEAR ANALYSIS".
Excrept from first chapter:
"'Theory of plasticity' is the name given to the mathematical study of stress and strain in plastically deformed solids, especially metals. This follows the well-established precedent set by the 'theory of elasticity', which deals with methods of calculating stress and strain in elastically deformed solids, and not, as a literal interpretation suggests, with the physical explanation of elasticity. The relation of plastic and elastic properties of metals to crystal structure and cohesive forces belongs to the subject now known as 'metal physics'."
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Edit reason: Dead link replaced with working one provided by the same member later on in different post. (G)
(Classical Text) Structural Stability of Columns and Plates By N. G. R. Iyenger
This is a 1988 text by an IIT Kanpur professor . This text solves governing differential equations using analytical methods and also by finite difference methods and finite element method. Graduate student will be able to find numerous examples , derivation on columns and plates. Stability problems are covered.
Excerpt from foreword :
"Today, the numerical techniques, for example, the finite element and finite difference techniques, are extensively applied for the solution of real-life problems. Accordingly, a large number of good books covering such techniques is available. However, each presents the applicability of only one or the other technique to structural stability problems. This text, on the other hand, lucidly discusses the structural applications of both the categories of techni-techniques, i.e., numerical and classical, and, in the process, also compares their performance. It essentially consists of two 'sections'. In one, mainly the one-dimensional structures, viz., columns, beams, and frames, are studied and, in the other, the two-dimensional structures, namely, plates, are dealt with. In both the sections, the elastic and inelastic behaviour of the structures is analyzed. The emphasis throughout is on the illustration of the techniques through numerous worked-out numerical examples. There is a conscious effort to present the results in a non-dimensional form so that these results are applicable for different materials, including composite materials."
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This two-volume, comprehensive design manual includes both preliminary and final design information for standard girders and most precast and precast, prestressed concrete products and systems used for transportation structures. It contains background, strategies for economy, fabrication techniques, evaluation of loads, load tables, design theory and numerous complete design examples. It is designed to explain and amplify the application of both the AASHTO Standard and LRFD Bridge Design Specifications.
This manual is also called by "MNL-133-97"
chapter 5 ,10,13,14,18 and appendix c are under development hence not included here
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aluMATTER : Examples for Aluminium Design using mathcad
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Programming
Over the years I’ve been i very interested in applying computers to structural engineering. The commercial programs in this area are very advanced and an individual programmer can hardly hope to match their completeness. In spite of that, I do think there is still a place for structural engineers to develop their own programs to suit specific needs, or even just to further their knowledge in the area. Without doing this users of commercial programs run the risk of not fully understanding the calculations performed in the ‘black box’ in front of them. It is only by trying your own hand at it that a fuller understanding of the bugs and quirks that are possible in even a very simple algorithm can be realized.
Anyway, philosophizing aside, below is a collection of the programs (and spreadsheets to follow) I’ve developed. I’d appreciate any feedback and let me know if you find them of any use or if there are obvious improvements to be made – though my time is extremely limited.
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Posted by: Albert - 04-11-2010, 11:37 AM - Forum: General Books
- No Replies
Calfem matlab by Lund University
C A L F E M A finite element toolbox to MATLAB
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Direct Link:
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Dear Dell Brett
I want to upload some material about programming, how can I make the screenshoot ? because after I browse and upload it can't display on my thread.
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