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Analytical Methods of Finding Stress Concentrations

  1. Aug 25, 2011 #1
    Hi everyone,

    I'm an undergraduate student. A professor just signed me up to do a research project (my first) this semester, and I need to be able to apply elasticity to analytically find stress concentration factors in a specific geometry (I'll pm you if it matters which geometry) that the professor assigned as a project to me. I don't have any experience with the theory of elasticity, although I've taken an engineering undergraduate mechanics of materials course so I have some basic knowledge (but nothing on calculating stress concentration factors, just using them).

    I have bought, borrowed from the professor, and checked out from the library a bunch of books on elasticity and advanced mechanics of materials that I'm going to start working through, but what concerns me is they don't really say explicitly what you'll be able to accomplish with them and the table of contents looks like gibberish to me since I'm not really familiar with the terminology. As far as I can tell, none of the tables of contents specifically mention finding stress concentration factors in arbitrary shapes; the chapters mostly seem to concentrate on a specific geometry.

    I would like to know if I am looking in the right places and just don't know exactly what I'm looking for (hence, not seeing it) or should I find alternative sources? I just don't want to put a whole bunch of time into these books and realize I've been barking up the wrong tree. I'm not expecting there to be a cut and paste process for solving that kind of problem, I just want to make sure I'll be equipped with the right knowledge to figure it out. I've listed the books I have already at the bottom of the post.

    Thanks a bunch


    The main book I am using is Green's.

    -Partial Differential Equations for Engineers and Scientists (Farlow)
    ----^^Because I only have experience with Calculus of Variations solutions and was told I'd need PDE's

    -Theoretical Elasticity (Green and Zerna)
    -Elasticity - Tensor, Dyadic, and Engineering Approaches (Chou, Pagano)
    -Advanced Mechanics of Materials and Applied Elasticity (Armenakas)
    -Theory of Elasticity (Landau, Lifgarbages)
    -Theory of Elasticity (Timoshenko)
    -Intro to Continuum Mechanics and Elements of Elasticity/Structural Mechanics (Saouma)
    -Introduction to Continuum Mechanics (Lai, Krempl, Rubin)
    -Introduction to Tensor Calculus and Continuum Mechanics (Heinbockel)
    -An introduction to Differential Geometry with Applications to Elasticity (Ciarlet)
    -Elasticity - Theory, Applications, and Numerics (Sadd)
    Last edited: Aug 25, 2011
  2. jcsd
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