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Though not that original, I want to recommend Timoshenko. Since many people have mentioned it already, I will discuss a Brief on Tensor Analysis by James Simmonds. Though not always useful, I sometimes use it to remember tensor rules that I have forgotten. The book is divided into chapters as follows:


I: Vectors and Tensors

II: General Bases and Tensor Notation

III: Newton's Law and Tensor Calculus

IV: Gradient, Del Operator, Covariant Differentiation, Divergence Theorem

Again, sometime it is not that useful and you spend your time trying to read it while not learning much, but it does come in handy sometimes. You can see the amazon link:


Zhigang Suo's picture

Applied Mechanics Division Committee Meetings in Chicago

Rui Huang's post early today reminded me of writing to all of you who are going to ASME meeting in Chicago, 5-10 November 2006, a short 10 days from today.

As I wrote in September, much of the initial planning for the next year's Congress will happen at the committee meetings this year. These meetings will formulate possible topics for symposiums in the next Congress. Surely you would like to see your favorite topics get picked.

Meetings of all Technical Committees are open to all. Please find the meeting times of the Technical Committees that interest you. You may also want to know who are the Chairs of the 17 Technical Committees in the Applied Mechanics Division.

Nanshu Lu's picture

For those who attended office hour today (Oct. 26)

After discussion with Xuanhe, I believe that B=0 for Q21 because there's no cut-and-weld operation here. Then the solusion is exactly the Lame Solution in Cylindrical Shape as in Q8.

What do you think?

Xuanhe Zhao's picture

Elasticity: Theory, Applications, and Numerics by Martin H. Sadd

I would like to recommend "Elasticity: Theory, Applications, and Numerics" by Prof. Martin H. Sadd as a reference for ES240. The book, as its name indicated, is mainly focused on elasticity theory and its applications, but also discusses numerical methods such as finite element method and boundary element method.

Prof. Martin H. Sadd, organized the book into two parts: I. foundations, and II Advanced topics. In part I, the book clearly outlines the basic equations of elasticity, i.e. strain/displacement relation, Hooke's law, and equilibrium equation. The other context of part I is devoted to the formulation and solution of two-dimensional problems. This structure matches the progress of our class very well.

The second part of the book begins with the discussion of anisotropic elasticity, thermo-elasticity, and micromechanics. These topics are complementary to the notes of ES240, and helpful in solving homework problems. In its last chapter, the book introduced finite element method and boundary element method.

Rui Huang's picture

ASME Technical Committee on Integrated Structures

In response to a proposal by Zhigang Suo in November 2005, the Executive Committee of the Applied Mechanics Division (AMD) of ASME has created a new Technical Committee on Integrated Structures. The main purpose is to provide a home at AMD for those who are working in the interdisciplinary areas involving applied mechanics and integrated materials/structures such as microelectronics and biomedical technologies. Read more here.

To forge the link between academia and industries, the committee will be co-chaired by industrial and academic members. For the first year, Jun He of Intel and Rui Huang (myself) have served as the co-chairs. As the 2006 ASME Congress (November 5-10) coming around the corner, we would like to draw your attention to our first activities at the congress.

A Wiki for Example Problems in University Mathematics

While studying (very diligently) for my upcoming midterm, I discovered a wonderful Wiki that provides problems and solutions for many collegiate math courses.

The first blog

well ,this is my first article .I am very glad to be one of imechanica. Now I am a Ph.D candidate at a Institute.

Bent F. Sørensen's picture

Post Doc position in the area of fracture mechanics for sandwich structures

The Department of Mechanical Engineering, The Technical University of Denmark and Risø National Laborarory together seek a candidate for a Post Doc position. This position concerns growth of debonds in sandwich structures subjected to cyclic loads. The main research areas where these methods are to be developed include: Fracture mechanics for material interfaces, crack propagation modelling in structural components, material testing of sandwich face/core interface properties and experimental life time prediction of structural components.

Bent F. Sørensen's picture

Post Doc Position: Fracture mechanics for solid oxide fuel cells

The Fuel Cells and Solid State Chemistry Department at Risø National Laboratory, Denmark, is seeking a postdoc to work on the fracture mechanics of solid oxide fuel cells.

The work consists of theoretical analysis, computations as well as experimental work. You will work together with the people making cells and stacks, and with the fracture mechanics group in the Materials Research Department.

Ravi-Chandar's picture

A blog for the International Journal of Fracture

I am pleased to announce that a new blolg associated with the International Journal of Fracture has been created by Springer. This is an ambitious project that aims to augment the published version of the papers and to create a dialogue between authors and readers. All articles beginning with the Dec 2004 issue now have a blog entry; ealier volumes will be added as digital processing of information continues. Discussion is not restricted to papers published in the journal, but should relate to the fracture/failure/structural integrity theme/micromechanics. Please see my post of Oct 25, 2006 for a detailed description of the obectives of the blog. I welcome your particpation in this experiment to enhance archival publication.

Question 16

Book Title: Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue (Second Edition, Third Edition released earlier this year)

Author: Norman E. Dowling Review Link

The book starts with a general overview and introduction to the mechanics of materials, but later emphasizes deformation, fracture and fatigue of materials. The following is a list of the chapters in the second edition:

(1) Introduction- Discusses types of material failure, design and materials selection, technological challenges, and the economic importance of fracture.

Micro/Nano Forum at Chicago Hilton, November 8, 2006-ASME Conference 2006

Dear Fellow ASME Micro & Nano Professionals :

There still is time to participate in the "Micro & Nano Society-Wide Forum" which will be held on Wednesday, November 8th, 5-8 pm, Williford Room C at the Chicago Hilton and Towers during ASME's Congress 2006.

The intention of this program is to stimulate cross-disciplinary knowledge-exchange, networking and synergy among ASME Members and other professionals interested in the development of nanotechnology. We extended the submission due date to Oct. 25th. (Previous one was a too short notice.)

A complimentary light dinner along with beverages will be provided during the program. All you need is your poster which will be tacked onto a poster board that is 96 inches by 48 inches (2.4 m by 1.2 m).

Min Huang's picture

The Influence of Light Propagation Direction on the Stress-Induced Polarization Dependence in Si Waveguides

The effects of light propagation direction on the stress induced polarization dependence of silicon-based waveguide were studied. As silicon is an anisotropic material, the change of polarization dependence induced by the photoelastic effect depends on the light propagation directions. It is found that when the light propagates in <100> directions on {100} silicon, the changes of refractive index and polarization shift are about 20% more sensitive to the stress than those when the light propagates in <110> directions. (IEEE Photonic Technology Letters, vol.

Zhigang Suo's picture


Want papers published, proposals granted and to be a good reviewer? Here is the key --- "Ten Simple Rules" series.

Getting papers published and getting proposals granted are often great challeges for young researchers, let alone being a good reviewer. The "Ten Simple Rules" series by P.E. Bourne, L.M. Chalupa, and A. Korngreen delineate what we should follow.

More details about writing a good paper and proposal were also given by G. M. Whitesides ("writing a paper") and M.F. Ashby ("how to write a paper").

Pradeep Sharma's picture

Nonlinear Stability Analysis of Self-assembling Nanoscale Patterns

I thought I should take advantage of iMechanica and obtain feedback on some recent work that we did on nonlinear stability analysis of patterns.

A paradigmatic model that governs monolayer self-assembly was constructed a few years back by Wei Lu (Michigan) and Zhigang Suo. Apart from obtaining several physical insights they also conducted a linear stability analysis of their model. Borrowing technqiues from the nonlinear physics community, our work presents nonlinear stability analysis i.e. the initial state is no longer homogeneous and stable states beyond the transition are calculated. This allows a detailed construction of stability maps for various patterns without extensive numerical calculations.

This work is currently under review and I am attaching a pre-print with this post. Any comments and suggestions would be well-appreciated.

“An Introduction to the Mechanics of Solids” by S. H. Crandall, N.C. Dahl, and T. J. Lardner

“An Introduction to the Mechanics of Solids” by S. H. Crandall, N.C. Dahl, and T. J. Lardner

As the title explains, this book shows very basics of the solid mechanics. The book has a good coverage of the concepts of primary elements of mechanics, the three equations, some environmental effect, and examples of torsion, bending, and buckling. This book elaborately explains/proofs several important equations, whose procedures tend to be skipped in many courses due to time limitation. Various case studies/problems accompanied with suitable figures have always helped me to get better senses. It is also easy to find what I am looking for in the book with neatly sorted tables and index. And most importantly, I like this book since the book discusses engineering applications and the limitations of these models.

The materials given in ES240 exceed the range that this book can cover, but this book still is a good resource to go back to when I forget the basics since my sophomore year when I used as our textbook for the materials and structures.

Hanqing Jiang's picture

Faculty Positions in the Department of Mechanical and Aerospace Engineering at Arizona State University

Open Faculty Positons:

Open Faculty Position in Computational Mechanics

The Department of Mechanical and Aerospace Engineering at Arizona State University seeks applicants for a tenure-track faculty position in the area of computational mechanics. The appointment will be commensurate with the candidate’s experience and accomplishments and can be at the assistant, associate or full professor rank, beginning August 2007. At the time of appointment, candidates must have an earned doctorate in engineering or a related field.

Zhigang Suo's picture

Solid Mechanics Homework 26-30

26. Stress-strain relations under the plane strain conditions
27. Getting weak: derive weak statements from differential equations
28. Potential energy and Rayleigh -Ritz method
29. Constant strain triangle
30. Gaussian quadrature

Return to the outline of the course.

Wei Hong's picture

Faculty position in computational mechanics engineering science and mechanics department, Penn State University

The Engineering Science and Mechanics Department at The Pennsylvania State University invites applications for a tenure-track faculty position in computational mechanics at the assistant professor level. Exceptional candidates at the associate or full professor level will also be considered. Candidates are sought with a foundation and research interests in mechanics across all scales from the molecular to the macroscopic, including expertise in: efficient massive and nonlinear computations; molecular and multiscale simulations; innovative and efficient approaches to nonlinear FEM for large deformations, inhomogeneities, and/or inclusions; problems with evolving microstructure such as phase transitions and damage evolution; massively parallel simulations of large systems of equations; novel numerical/empirical approaches to modeling multiscale constitutive behavior of composite, biological or otherwise novel material systems.

Adrian Podpirka's picture

Textbook Recommendation

So besides using Timoshenko (which is basically the bible of solid mechanics), I have been using Slaughter's The Linearized Theory of Elasticity which I came across in the Gordon McKay Library.

Unlike some of the other textbooks, there is a big focus put on the theory and the idea behind the examples while still having many worked out problems. The first few chapters give a big refresher course on mathematics and lay the groundwork for what is to be taught later on.

I came across this book in particular for the in depth coverage of Airy Stress Functions.

The book is broken into 11 chapters:

Review of Mechanics of Materials
Mathematical Preliminaries
Forces and Stress
Constitutive Equations
Linearized Elasticity Problems
2D Problems
Torsion of Noncircular Cylinders
3D Problems
Variational Methods
Complex Variable Methods

Ji Wang's picture

Second Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (Spawda 2006)

Advances in the research of the theory of Piezoelectricity and Acoustic Waves have provided essential foundation and new opportunities to device technology and have been fostering academic exchanges and interaction in the piezoelectric device industry.With the increased research activities in piezoelectricity and acoustic waves and recent fast growth in piezoelectric devices, we are also facing many technological challenges from real engineering applications and product design and manufacturing.Following the successful SPAWDA 2004 in Ningbo, Chinese Society of Theoretical and Applied Mechanics, IEEE UFFC and the Acoustical Society of China have decided, also with industrial support, to hold the SPAWDA 2006 at Zhejiang University, Hangzhou, Zhejiang, China from December 14-17.The conference topics include, but not limited to,


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