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“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.

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.

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.

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
Kinematics
Forces and Stress
Constitutive Equations
Linearized Elasticity Problems
2D Problems
Torsion of Noncircular Cylinders
3D Problems
Variational Methods
Complex Variable Methods

The notes are attached. Return to the outline of the course.

If you have not read them, you might find them interesting.

• The New Yorker article: Manifold Destiny
  
• The New York Times article: The Emperor of Math