solid mechanics

This computer assignment is due Friday, Nov. 16, 2007

Please download and read the following materials.
 

1-1 ABAQUS tutorial for ES 240.pdf

1-2 Learning ABAQUS.pdf    

1-3 CAE Example.pdf

ES 240 notes for Principle of virtual work and FEM. Please see attached.

This book begins by describing real life examples of mechanical states of different materials.  The book next discusses stress.  This discussion includes force, mohr circles, tensor components of stress, and stress fields.  Next strain is discussed.  This ranges from measuring deformation to tensor components of infinite and finite strain.  The book concludes by outlining different material behaviors.  These include Hookean behavior and Newtonian behavior.  This last section also discusses energy consumed in deformation.

Title: Theory of Plates and Shells

Author:  Stephen P. Tomoshenko and S. Woinowsky-Krieger

Contents:

Chapter 1: Bending of long rectangular plates to a cylindrical surface .

Chapter 2: Pure bending of plates.

Chapter 3: Symmetrical bending of circular plates

Chapter 4: Small deflections of laterally loaded plates

Chapter 5: Simply supported rectangular plates

Chapter 6: Rectangular plates with various edge conditions

Chapter 7: Continuous rectangular plates

Chapter 8: Plates on elastic foundation

This problem set is due on Nov.2, 2007.

Theory of Elasticity by Landau and Lifshitz.

http://www.amazon.com/Theory-Elasticity-Third-Theoretical-Physics/dp/075062633X

content:
1 fundamental equations
2 the equilibrium of rods and plates
3 elastic waves
4 dislocations
5 thermal conduction and viscosity in solids
6 mechanics of liquid crystals

If I were to recommend one textbook that will help students in this course it would obviously be the "Theory of Elasticity" by Timoshenko and Goodier. But you could have found that out by simply looking at the course syllabus, so I will also recommend the following books that are helpful in other areas of the course: "Mathematical Phyiscs" by Kusse and Westwig, "Mechanics of Materials" by Beer and Johnson, and "Advanced Engineering Mathematics" by Greenberg.

There are a few helpful reviews of this book on amazon.  Here is the link to that page: 
Elasticity-Tensor-Dyadic-Engineering-Approaches
http://www.amazon.com/Elasticity-Tensor-Dyadic-Engineering-Approaches/dp...
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The hyperlink for reviews on this book on amazon.com is the following:

http://www.amazon.com/gp/product/customer-reviews/0073107956/ref=cm_cr_d...

Deformable Bodies and Their Material Behavior by HW Haslach and RW Armstrong is a great reference book for solid mechanics. This text discusses a wide variety of materials, the relationships between applied stresses, displacements and material properties, the mathematical approximations to predict mechanical behaviors, and the practical uses for the theory. The text helps to understand how the theory can be applied to practical problems. The text has many worked examples to common problems.

I recommend the book 

“The Linearized Theory of Elasticity” by William S.
Slaughter

Here is a review of it from Amazon:

http://www.amazon.com/Linearized-Theory-Elasticity-William-Slaughter/dp/0817641173/ref=sr_1_1/104-6179351-0527136?ie=UTF8&s=books&qid=1193114979&sr=8-1

Review Online:  http://www.amazon.com/Solid-Mechanics-Introduction-Its-Applications/dp/0792319494

Outline of Content:

I find the book , An Introduction to the mechanics of solids , is very helpful to me.

 It is written by Stephen H. Crandall and Thomas Lardner .

Amazon review link:

http://www.amazon.com/Schaums-Outline-Algebra-Seymour-Lipschutz/dp/00713...

Here are the chapter names:

1) Prototypes of the theory of elasticity and viscoelasticity

2) Tensor analysis

3) Stress tensor

4) Analysis of strain

5) Conservation Laws

6) Elastic and plastic behavior of materials

7) Linear elasticity

8) Solutions of problems in elasticity by potentials

9) Two-dimensional problems in elasticity

10) Variational Calculus, energy theorems, saint-venant's principle

11) Hamilton's principle, wave propagation, applications of generalized coordinates 

Part 2 of Plane Elasticity notes. Please see attached.

This Problem Set is due on Friday, Oct. 26. 

INTRODUCTION TO TENSOR CALCULUS and CONTINUUM MECHANICS

John H. Heinbockel

Very clear treatment on tensors and vector calculus, also free online!

http://www.math.odu.edu/~jhh/counter2.html

Despite the title, the book covers very little specifically on geology.  It works through stress, strain, and other tensor quantities, but assumes you know little about the math.  Fully worked problems make up the bulk of the book following a few introcutory chapters.  I've found it a nice review of the math, but haven't fully explored the solution sections.  I got the book from Cabot Science Library here at Harvard. I wouldn't recommend buying it on amazon it's not worth the $72, but it is a nice addition to Timoshenko's theory of elasticity.